9 Pages

Mobile WiMAX - Performance and Evolution

Course: SCE 5441, Spring 2010
School: Carleton University
Rating:
 
 
 
 
 

Word Count: 6230

Document Preview

LAYOUT 9/22/08 12:24 WANG PM Page 41 WIMAX: A TECHNOLOGY UPDATE Mobile WiMAX Systems: Performance and Evolution Fan Wang, Amitava Ghosh, Chandy Sankaran, Philip J. Fleming, Frank Hsieh, and Stanley J. Benes, Networks Advanced Technologies, Motorola Inc. ABSTRACT Mobile WiMAX was successfully adopted by ITU as one of the IMT-2000 technologies in November 2007. Since then mobile WiMAX (a.k.a. IP-OFDMA) has...

Register Now

Unformatted Document Excerpt

Coursehero >> Canada >> Carleton University >> SCE 5441

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
LAYOUT 9/22/08 12:24 WANG PM Page 41 WIMAX: A TECHNOLOGY UPDATE Mobile WiMAX Systems: Performance and Evolution Fan Wang, Amitava Ghosh, Chandy Sankaran, Philip J. Fleming, Frank Hsieh, and Stanley J. Benes, Networks Advanced Technologies, Motorola Inc. ABSTRACT Mobile WiMAX was successfully adopted by ITU as one of the IMT-2000 technologies in November 2007. Since then mobile WiMAX (a.k.a. IP-OFDMA) has officially become a major global cellular wireless standard along with 3GPP UMTS/HSPA and 3GPP2 CDMA/ EVDO. Mobile WiMAX is an OFDM-based technology available for deployment today, and new WIMAX devices come to market at much reduced cost than that of current 3G solutions. Currently over 260 service providers are deploying fixed, portable and mobile WiMAX networks in 110 countries. This article provides an overview of the mobile WiMAX system and its performance under various configurations, channel conditions, and types of data traffic. Furthermore, the article provides an overview of mobile WiMAX evolution. MOBILE WIMAX AND IEEE 802.16 STANDARDS The WiMAX Forum is an industry consortium promoting the IEEE 802.16 family of standards for broadband wireless access systems. Historically, the first IEEE 802.16 standard (and associated 802.16c profile definitions) addressed primarily line-of-sight (LOS) environments at high frequency bands (1066 GHz) via conventional quadrature amplitude modulation (QAM) singlecarrier techniques. The limited market potential for millimeter-wave LOS systems resulted in the development of the IEEE 802.16a amendment to support non-LOS (NLOS) modes in radio bands between 211 GHz. The 802.16-2004 standard [1] (also known as 802.16d) made further, more radical changes to 802.16 physical (PHY) layer operation for low frequency (211 GHz) bands by adding two additional PHY modes: A 256-point fast Fourier transform (FFT) orthogonal frequency-division multiplexing (OFDM) PHY mode A 2048-point FFT orthogonal frequencydivision multiple access (OFDMA) PHY mode The well understood goal of these develop- ments was to use OFDM for both downlink (DL) and uplink (UL) to enable relatively simple high-performance receiver structures in the presence of frequency-selective fading channels. This new PHY capability was augmented by addition of several features: Frequency-diverse and frequency-specific subchannelization schemes where respective groups of physically distributed and physically adjacent subcarriers are used to construct subchannels. These schemes enable both frequency-diverse and frequency-selective scheduling and resource allocation methods. Adaptive modulation and coding based on hybrid automatic repeat request (HARQ) techniques (previously used in Third Generation Partnership Project [3GPP]/3GPP2 systems such as Enhanced Data Rates for GSM Evolution [EDGE], High-Speed Downlink/Uplink Packet Access [HSDPA/ HSUPA], Evolution Data Optimized [EVDO], etc.) along with support for chase combining (CC) and incremental redundancy (IR). Fast scheduling based on flexible channel quality indication (CQI) New forward error correction schemes including convolution turbo code (CTC) and low density parity check (LDPC) codes Support for multi-antenna operation including optional advanced antenna subsystem (AAS) modes, open-loop space time coding (STC) modes (supporting twofour transmit antennas), closed-loop multiple-input multiple output (MIMO) modes, and uplink coordinated space-division multiple access (SDMA). Efficient multicast-broadcast transmission schemes using single frequency network (SFN) concepts Variable frame sizes (e.g., 2 ms, 2.5 ms, 5 ms) The mobility enhancements provided by the later 802.16e amendment [2] further enhanced operation of nomadic, portable, and mobile wireless access, and was published by IEEE at the beginning of 2006. The 802.16e specification (aka 802.16-2005) provides improved support for intercell handoff, directed adjacent-cell measurement, and sleep modes to support low-power IEEE Communications Magazine October 2008 0163-6804/08/$25.00 2008 IEEE 41 WANG LAYOUT 9/22/08 12:24 PM Page 42 System bandwidth (MHz) Sampling frequency (MHz) FFT size Subcarrier spacing (kHz) OFDM symbol duration (s) Useful symbol time1 (s) Cyclic perfix1 (s) 1 1.25 1.4 128 2.5 2.8 256 5 5.6 512 10.94 102.86 91.43 11.43 10 11.2 1024 20 22.4 2048 frequency permutation schemes and multiple antenna technologies. In the following section we introduce the mobile WiMAX frame structure followed by a discussion of WiMAX control channel coverage in the next section. We later describe the fractional frequency reuse configuration of mobile WiMAX. We then describe multiple-antenna technologies supported in mobile WiMAX. We then present the mobile WiMAX system performance under various configurations and channel conditions, and for different data traffic. Finally, the last section provides an overview of mobile WiMAX evolution. Cyclic prefix is 1/8 of useful symbol time according to the mobile WiMAX profile. I Table 1. IEEE 802.16e scalable OFDMA parameters. MOBILE WIMAX FRAME STRUCTURE Figure 1 shows the mobile WiMAX TDD frame structure. Each frame is configured to be 5 ms long and is time-division duplexed into downlink and uplink subframes. There are time gaps between downlink and uplink subframes, including mobile transceiver radio turn around time and a guard time avoiding interference between downlink and uplink signals. The time gap for the transition from downlink subframe to uplink subframe is called the transmit time gap (or TTG). The time gap for the transition from uplink subframe to downlink subframe is called Receive Time Gap (or RTG). The time gaps in the mobile WiMAX profile [3] support a maximum cell size of approximately 20.7 km for 3.5 or 7 MHz bandwidth, and 8.4 km for 5 or 10 MHz bandwidth mobile WiMAX systems. The 802.16e standard also specifies several options for mapping OFDM subcarriers to data subchannels so that both frequency-diverse and frequency-selective scheduling can be supported. For frequencydiverse subchannelization, IEEE 802.16e supports full usage subchannelization (FUSC) and partial usage subchannelization (PUSC). Other options include tile usage subchannelization (TUSC) and optional full usage subchannelization (O-FUSC) mobile station operation. Another important addition is the introduction into the 802.16e OFDMA PHY of FFT sizes of 128, 256, 512, and 1024 in addition to the original length, 2048. This permits so-called scalable deployment, wherein the OFDM symbol duration and intersubcarrier separation is constant regardless of carrier bandwidth. Table 1 shows an example of such a carrier bandwidth-scaling process for a 5ms frame duration, where the cyclic prefix (CP) duration is 1/8 of the useful symbol duration. The IEEE 802.16 family of standards contains many optional features that may not be implemented by the vendors and operators. One task of the WiMAX Forum is to decide on a commonly agreed system profile by reducing the number of options in the 802.16 specifications, and promote interoperability among equipment vendors and system operators. The first release of mobile WiMAX system profile [3] supports time-division duplex (TDD) downlink and uplink transmissions. Besides scalable OFDMA, this profile also supports various OFDM symbol number 0 1 1 FCH UL MAP (cont) s1 s s+1 DL MAP DL Burst#1 DL Burst#3 DL Burst#5 UL MAP Ns DL Burst#6 Ranging Burst 5 Fast feedback (CQICH) Uplink subframe Burst 4 ACKCH 3 5 7 9 N1 0 Burst 1 N1 Coded symbol write order DL Burst#2 Subchannel logical number Burst 2 Burst 3 DL Burst#4 Preamble DL Burst#7 Downlink subframe Guard I Figure 1. Mobile WiMAX TDD frame structure. 42 IEEE Communications Magazine October 2008 WANG LAYOUT 9/22/08 12:24 PM Page 43 (a) MAP IEs Fixed compressed MAP (DL+UL+CRC) Ranging region allocation IE (3 IEs: initial, periodic and bandwidth request IEs) Fast feedback allocation IE HARQ ACK region allocation IE UL interference and noise level IE Fixed overhead in HARQ DL MAP IE Fixed overhead in HARQ UL MAP IE UL HARQ per scheduled user DL HARQ per scheduled user (b) 5 users scheduled per frame MAP overhead symbols with Rep = 6 Other overhead symbols including guard time Symbols for (DL + UL) bearer for Rep = 6 MAP overhead symbols with Rep = 4 Symbols for (DL + UL) bearer for Rep = 4 10 5 33 6 37 10 users scheduled per frame 12 5 31 8 35 Size (bits) 152 168 32 56 28 72 64 40 44 The MAP message indicates the resource allocation for downlink and uplink data and control signal transmission. Each MAP message includes several information elements (IE) and has a fixed part and a variable part. I Table 2. a) MAP IEs and sizes; b) number of OFDM symbols available for bearer data (10 MHz). for downlink, and optional partial usage subchannelization (O-PUSC) for uplink. For frequencyspecific subchannelization, IEEE 802.16e supports downlink and uplink band AMC (B-AMC). The minimum resource allocation unit in mobile WiMAX is a time-frequency slot containing 48 modulated data symbols. At the beginning of each frame, downlink control information is transmitted consisting of a preamble, a frame control header (FCH), and a MAP message. The first symbol of every downlink subframe is the preamble, which can be used for synchronization, downlink channel estimation, and so on. The subcarriers allocated to the preamble are uniformly distributed throughout the spectrum and occupy every third subcarrier. The first message at the beginning of the second downlink OFDM symbol is the FCH, which provides the information required to decode the subsequent DL-MAP message. The FCH carries information like the subchannels being used by the sector in the current frame, coding, and size of the DL-MAP. The MAP message indicates the resource allocation for downlink and uplink data and control signal transmission. Each MAP message includes several information elements (IEs), and has a fixed part and a variable part. The size of the variable part is proportional to the number of downlink and uplink users scheduled in that frame. The number of OFDM symbols required for transmitting MAP messages depends on system bandwidth, number of users scheduled in the frame, frame size, IEs included in the MAP, and so on. Table 2a lists several essential IEs that are included in a compressed MAP message. It should be noted that the sizes of control messages in Table 2a might be different for different implementations. The compressed MAP messages in Table 2a are broadcast to all mobiles in the sector and thus need to be coded properly so that the mobiles at the edge of cells can decode them correctly. The total MAP overhead in OFDM symbols and the number of OFDM symbols available for transmitting bearer data with 5 or 10 users scheduled/frame for each downlink and uplink transmission is shown in Table 2b for a system with 10 MHz bandwidth allocation. With 5 scheduled users/frame (optimal for delay-insensitive data traffic, e.g., FTP and HTTP), the number of symbols available for both downlink and uplink bearer is 37 if 95 percent cell coverage is required for downlink MAP (achieved using 4 Tx CSTD and a repetition rate of 4, see the next section for control channel coverage details). This translates IEEE Communications Magazine October 2008 43 WANG LAYOUT 9/22/08 12:24 PM Page 44 1 transmission 2 transmissions 4 transmissions 6 transmissions 100 4Tx_1W 95 Cell coverage (percentage of mobiles with control MER < 10 x%) 90 85 80 75 1 4Tx_1W 2T W x_1 uplink CQI or fast-feedback channel is used by a mobile station to report the measured carrier-tointerference-and-noise ratio (CINR) back to the access point. This information is used for functions such as selecting the downlink modulation and coding rates. The CQI information is quantized into a 6-bit format and carried over on one uplink slot consisting of 24 subcarriers by 3 OFDM symbols. Another uplink control channel, the uplink ACK channel, transports ACK/NACK feedback for the downlink hybrid ARQ data transmission and occupies half an uplink slot. 1T x_ 2Tx_1W 1% W _2 Tx 4T x_ 1W 2W WIMAX CONTROL CHANNEL COVERAGE 10% 70 65 60 55 50 45 40 -3 -2.5 -2 2 1 Tx_ W 1T x_ 2W -1.5 X -1 -0.5 0 CSTD delay - 2 antennas: 20 time samples delay - 4 antennas: 10 time samples delay per antenna Uncorrelated fade between every pair of transmit and receive antennas I Figure 2. Cell coverage of a mobile WiMAX MAP control channel. into an overhead of approximately 23 percent without accounting for cyclic prefix and the pilot overhead for bearer data. It may be noted that for voice-over-IP (VoIP) traffic, the number of users scheduled per TDD frame will be higher (e.g., 15 to 20 users/frame for each downlink and uplink transmission). Besides the control messages in the compressed MAP shown in Table 2a that are broadcast as one packet, mobile WiMAX also supports another MAP control message transmission mode known as SUB-DL-UL-MAP. Using SUBDL-UL-MAP, different modulation and coding schemes can be applied for user-specific control information within the MAP message. For users scheduled within the frame that have good channel conditions, user-specific control messages can be transmitted using a more efficient modulation and coding scheme, and thus the MAP overhead can be reduced [4]. Uplink control channels support ranging, CQICH, and acknowledge (ACK)/negative ACK (NACK) transmissions. Ranging channel provides the random access capability for initial entry, timing adjustment, periodic synchronization, bandwidth request, and handover entry. The WiMAX system coverage is limited by the control channel in the downlink and data channels in the uplink. The downlink control MAP message is coded with rate 1/2 convolution turbo code (CTC) and modulated using quaternary phase shift keying (QPSK). Since this message is broadcast to all mobile stations in the system, the CTC coded symbols are repeated one, two, four, or six times so that it can cover the mobile stations at the cell edge. The MAP control channel system coverage is shown in Fig. 2 with and without cyclic shift transmit diversity (CSTD). CSTD is a space-time coding scheme used to achieve spatial diversity without explicit signaling to the mobiles. For the coverage performance shown in Fig. 2, every mobile station has a maximum ratio combining (MRC) receiver with two diversity receive antennas. Details of the simulation configurations are listed in [5]. In Fig. 2 the cumulative distribution function (CDF) of the control channel coverage for various repetition rates using 1, 2, or 4 transmit antennas is shown under a typical urban (TU) channel with 50 percent of the users at 3 km/h and 50 percent at 30 km/h. It may be observed that more than 95 percent cell coverage is achieved at an MAP error rate (MER) operating point of 1 percent using CSTD with 4 transmit and 2 receive antennas, R = 1/2 CTC code with a repetition of 4. Using more advanced mobile receivers, such as a receiver with interference rejection, the coverage of the MAP control channel can be significantly improved, especially for mobiles whose interference is from one or two dominant interfering signals. FRACTIONAL FREQUENCY REUSE Under the full frequency reuse system configuration, mobiles in different sectors use the same frequency and result in low cell edge throughput due to interference from all their neighboring sectors. By taking advantage of flexible resource allocation on frequencies utilizing OFDMA, mobile WiMAX supports full frequency reuse, partial frequency reuse, and even a mixture of full and partial frequency reuse within one TDD frame. This feature of mobile WiMAX is known as fractional frequency reuse and can provide high cell edge throughput. In partial frequency reuse, each neighboring sector takes a disjoint part of the frequency 44 IEEE Communications Magazine October 2008 WANG LAYOUT 9/22/08 12:24 PM Page 45 band. A typical example is a system with three sectors per cell, with each sector taking one third of the frequency band. There is no cross-sector interference between the three neighboring sectors with the partial frequency reuse configuration. The disadvantage of partial frequency reuse, however, is a reduction in effective bandwidth for each sector. Fractional frequency reuse takes advantage of the partial frequency reuse benefit of reduction in cross-sector interference for users at the cell edge while avoiding its disadvantage of reduced effective bandwidth. In fractional frequency reuse, mobiles close to cell sites are configured to operate with full frequency reuse for part of the time (known as a zone), while mobiles at the cell edge are configured to operate with partial frequency reuse in another zone for the remaining portion of the subframe. As a comparison, 3G code-division multiple access (CDMA)-based systems typically only operate in a full frequency reuse configuration. samples. An equivalent operation can be done in the frequency domain by multiplying a phase shifting sequence. Note that each antenna adds a cyclic prefix after circularly shifting the OFDM symbol; thus, the interblock interference protection offered by the cyclic prefix is unaffected by CSTD. Compared to STBC, a receiver for CSTD with short circular delay does not need knowledge of the transmission scheme. Thus, dedicated pilots corresponding to each individual transmit antenna are not required. Since the WiMAX system is based on OFDM, the added multipath interference due to cyclic shift delay from different transmit antennas does not increase the complexity of the mobile receiver, but provides additional spatial diversity. However, the spatial diversity gain of CSTD is usually smaller than that of STBC. Open Loop Spatial Multiplexing MIMO The Mobile WiMAX system profile supports allocating two downlink data streams on the same time-frequency resource to one mobile receiver. This scheme (known as SM-MIMO or Matrix B) consists of encoding a single stream of data and then splitting each pair of modulation symbols between the two antennas. SM-MIMO doubles the peak data rate and improves the system performance when the system is bandwidth limited. However, the achievable system performance improvement of SM-MIMO over singlestream STBC depends on system configuration issues such as frequency reuse factor, mobile geometry, and traffic type. A similar spatial multiplexing scheme is supported in mobile WiMAX on uplink. In this uplink coordinated space-division multiple access (SDMA) scheme, an access point scheduler allocates two uplink data streams on the same timefrequency resource from two mobile transmitters. The access point receiver separates the two data streams utilizing the receiver antenna array. Similar to downlink SM-MIMO, uplink SDMA doubles the peak sector data rate and improves the system performance when the system is bandwidth limited. Adaptive Mode Selecton between STBC and Open Loop MIMO Both STBC and SM-MIMO are downlink open loop MIMO schemes. The criterion to switch between MatrixA (STBC) and Matrix-B (SM-MIMO) should be based on picking the scheme that gives the highest spectral efficiency. Transmitters using open loop MIMO do not require explicit knowledge of the fading channels. For closed loop MIMO, a transmitter forms antenna beams adaptively based on channel side information. MULTIPLE ANTENNA TECHNOLOGIES IN MOBILE WIMAX Mobile WiMAX supports various multipleantenna system (MAS) technologies. The MAS technologies can generally be classified into two categories: Open loop MIMO Closed loop MIMO Open loop MIMO includes space-time block coding (STBC or MIMO-A), open loop spatial multiplexing (SM-MIMO or MIMO-B), and adaptive mode selection between the two. Transmitters using open loop MIMO do not require explicit knowledge of the fading channels. For closed loop MIMO, a transmitter forms antenna beams adaptively based on channel side information. These technologies are commonly referred to as transmitter adaptive antenna array (Tx-AA) techniques. OPEN LOOP MULTIPLE ANTENNA TECHNOLOGIES Space Time Block Coding I n mobile WiMAX systems, STBC encoding (known as Matrix-A, or the Alamouti scheme) is performed on pairs of encoded modulated symbols and occurs immediately after constellation mapping. Each symbol is transmitted twice, once per antenna, so that the overall space-time coding rate is one. Subcarrier mapping is performed independently for each transmit antenna signal. In addition, the signal from each transmit antenna has orthogonal dedicated pilots. Cyclic Shift Transmit Diversity Cyclic shift transmit diversity (CSTD) takes advantage of the OFDM receiver by adding spatial diversity from each transmit antenna. With CSTD, each antenna element in a transmit array sends a circularly shifted version of the same OFDM time domain symbol. For example, if antenna 1 sends an unshifted version of the OFDM symbol, antenna m transmits the same OFDM symbol, but circularly shifted by (m 1)D time domain CLOSED LOOP MULTIPLE ANTENNA TECHNOLOGIES A TDD mobile WiMAX system supports closed loop transmission by taking advantage of the reciprocity of the downlink uplink and transmissions. In this article two types of closed loop MIMO schemes are described. In the first scheme, known as maximum ratio transmission (MRT), an antenna beam is formed on each OFDM subcarrier. The second scheme is known as statistical Eigen beamforming (EBF) where only one antenna beam is formed across multiple allocated subcarriers. IEEE Communications Magazine October 2008 45 WANG LAYOUT 9/22/08 12:24 PM Page 46 Parameter Number of sectors Carrier freq., bandwidth Frequency reuse Propagation model Lognormal shadowing Number of AP transmit antennas Number of AP receive antennas Number of MS TX/RX antennas MS antenna gain Traffic models Value 19 cells, 3 sectors/cell 2.5 GHz, 10 MHz PUSC 1/1, PUSC 1/3, and FFR Path loss (dB): L = 126.2 + 36 log (d), d in km 8 dB standard, 50 m correlation distance 1/2/4 tical EBF simplifies downlink channel estimation since the same beamforming weights are applied for all subcarriers within the band of interest. MOBILE WIMAX SYSTEM PERFORMANCE A system simulator based on the mobile WiMAX system profile [3] and system evaluation methodology [6] is used to study the mobile WiMAX system performance with different MIMO technologies. This simulator uses 19 hexagonal threesector cells. The number of mobile stations in the simulator is adjusted to meet the target outage probability requirement. The cell layout, path loss model, antenna configurations at access points and mobile stations and traffic models are listed in Table 3. More detailed assumptions for system simulations can be found in [79]. The link performance curves used in system simulations are included in [10]. 2/8 1/2 2 dBi Full buffer, Web browsing (HTTP), and VoIP I Table 3. System simulation parameters. Maximum Ratio Transmission MRT is similar to adaptive beamsteering. While adaptive beamsteering phases the transmit array to point the main beam toward the subscriber using knowledge of the subscribers location, MRT attempts to track the channel response between the transmit and receive arrays on each subcarrier in frequency. MRT tries to maximize the received signal-to-noise ratio (SNR) on each subcarrier at the receivers antenna array, and generally provides better performance than adaptive beamsteering because it is robust to high angular spread channels. Its difficulty lies in obtaining accurate channel knowledge of the transmit array. A benefit in this technique is that it poses no strict constraints on the characteristics of the TX antenna array. It makes no assumption about antenna placement, polarization, orientation, or even antenna patterns. Although some of these factors can limit ultimate performance, the algorithm attempts to take full advantage of the given physical hardware. Statistical Eigen Beamforming In EBF a single set of transmit weights are computed and applied to each subcarrier within a desired band, instead of calculating a separate set of weights for each subcarrier as in MRT. A covariance matrix of the channel is first computed in EBF over the band of interest, and the transmit antenna weights are computed by taking the largest eigenvector of this covariance matrix and applying it to all the subcarriers within the band. MRT requires accurate knowledge of the channel and is better for high signal-to-interference-plus-noise ratio (SINR) and low velocity. Statistical EBF is more robust and outperforms MRT for low SINR, and for high-velocity mobiles with large delay between channel measurement and beamforming. Additionally, statis- MOBILE WIMAX DOWNLINK SYSTEM PERFORMANCE SUMMARY The spectral efficiency improvement using open loop MIMO and closed loop beamforming over single-input multiple-output (SIMO) configuration depends on factors such as traffic model (full buffer or HTTP), frequency reuse pattern, and so forth. Figures 3a and 3b show the comparison of sector spectral efficiency for various multipleantenna technologies including SIMO, STBC, adaptively switching between STBC and MIMO (denoted MIMO in Figs. 3a and 3b), and closed loop beamforming (denoted Tx-AA in Figs. 3a and 3b). As shown in Figs. 3a and 3b, STBC does not improve the system throughput. Although STBC improves the link performance and system coverage, the system throughput does not improve with the additional spatial diversity due to other diversities in mobile WiMAX systems (e.g., receive diversity, multi-user diversity). By adaptively switching between single-datastream STBC and two-data-stream SM-MIMO, WiMAX system performance can be improved over SIMO by about 50 percent for 1 3 3 frequency reuse and 10 percent for 1 3 1 f requency reuse using minimum mean square error (MMSE) receivers. With more complex pseudo MLD receivers, the MIMO-MMSE system performance can be further improved by an additional 15~20 percent. For 1 3 1 frequency reuse, the system performance can be further improved using closed loop beamforming. For 1 3 3 frequency reuse, however, open loop MIMO outperforms closed loop beamforming for full buffer data traffic. Figure 3b shows the performance comparison for HTTP data traffic. It may be observed that the relative performance of various multipleantenna technologies for HTTP is different from that for full buffer. Closed loop beamforming provides higher system performance improvement for equal data rate types of traffic such as HTTP than with full buffer. Open loop MIMO is more effective for data traffic with large pay- 46 IEEE Communications Magazine October 2008 WANG LAYOUT 9/22/08 12:24 PM Page 47 loads such as full buffer since the scheduler gives preference to users with good channel conditions. These full buffer users are bandwidth limited and can use the extra bandwidth through spatial multiplexing. VOIP OVER MOBILE WIMAX The VoIP capacity of mobile WiMAX is studied using the system simulator, and is shown in Fig. 3e. Since the system capacity for VoIP-only service is uplink limited, the simulation results in Fig. 3e are for uplink system performance with an MRC receiver and two diversity receive antennas at each access point. The VoIP model in Fig. 3e is 12.2 kb/s AMR with 50 percent voice activity factor [6]. A VoIP user is in outage if less than 98 percent of its packets are delivered successfully within a given delay bound. System VoIP capacity is defined as the number of users that can be supported in each sector such that the percentage of users in outage is less than a certain criterion. From Fig. 3e, it can be observed that with a load of 105 active VoIP users in one sector and an over-the-air delay request of 50 ms, the system outage is less than 5 percent. With a higher system load of 110 active VoIP users in one sector, the system outage increases to 8 percent. With an even higher system load of 120 active VoIP users in one sector, the system outage increases to almost 20 percent. An alternative analytic methodology described in [11] is also used to study the packet queuing delay. The result from [11] substantiates the VoIP capacity from system simulations. Furthermore, the result from [11] shows that in order to meet the delay request of VoIP service, system utilization is around 80 percent. This observation implies that more delay-insensitive services (e.g., HTTP or FTP) can be added without affecting the VoIP capacity shown in Fig. 3e. Since early 2007, the WiMAX forum and the IEEE 802.16 working group have started separate evolution projects to improve the performance of the current release of mobile WiMAX and to keep the momentum of evolving mobile WiMAX as a leading mobile broadband wireless communication solution. MOBILE WIMAX UPLINK SYSTEM PERFORMANCE WITH MULTIPLE RECEIVE ANTENNAS In this section the performance of MU-MIMO and SU-MIMO are analyzed for two types of access points with two and eight receive antennas, respectively. For the first type of access points, the two receive antennas at the access point are four wavelengths apart. For the second type of access points, each one has a linear array that contains eight antenna elements and half of a wavelength between two adjacent antenna elements. In the case of SDMA, the scheduler assigns one or two mobiles to transmit on each time-frequency resource at each scheduling instance. Similar to downlink MIMO, the peak sector data rate of uplink transmission can be doubled using SDMA. Uplink sector spectral efficiencies using MRC and SDMA with MMSE receivers are shown in Fig. 3c. We note that for 1 3 3 frequency reuse, the system is bandwidth limited but not power limited. In this case, even though the combined signal power from multiple receive antennas is increased by increasing the number of receive antennas, the uplink system performance is only slightly improved in the SIMO mode. However, by allocating two users to transmit simultaneously using SDMA, the system performance can be improved by more than 80 percent using the second type of access point with eight receive antennas. In the case of 1 3 1 frequency reuse, the system performance improvement of SDMA over MRC using the second type of access point is around 20 percent. MOBILE WIMAX EVOLUTION Since early 2007, the WiMAX Forum and the IEEE 802.16 Working Group have started separate evolution projects to improve the performance of the current release of mobile WiMAX and keep the momentum of evolving mobile WiMAX as a leading mobile broadband wireless communication solution. In the WiMAX Forum the evolution project is known as mobile WiMAX release 1.5; the current mobile WiMAX release is 1.0. The focus of this project includes adding FDD configuration to the mobile WiMAX profile, enabling MIMO/ BF under FDD mobile WiMAX, adding persistent allocation to improve efficiency for VoIP data traffic, reducing MAP control message overhead, and reducing handoff latency. The target of this project is to provide performance enhancement to current mobile WiMAX systems within a short time period (targeting deployment in late 2009) and without introducing significant changes to the IEEE 802.16-2005 specification. The project that introduces more fundamental performance enhancements to mobile WiMAX is led by the IEEE 802.16 Working Group. This project and the associated future standard are known as 802.16m. The target for 802.16m is to meet the requirements of IMTAdvanced, the fourth generatioin (4G) successor of IMT-2000. In other words, 802.16m will be the 4G mobile WiMAX evolution. According to the system requirement document (SRD) of MOBILE WIMAX WITH FRACTIONAL FRACTIONAL REUSE Figure 3d shows the relative improvement with fractional frequency reuse compared to full frequency reuse (PUSC 1/1) configuration and partial frequency reuse (PUSC 1/3) configuration. The result is for mobile WiMAX systems with 10 MHz bandwidth, a load of 150 users/sector, and HTTP traffic. Cell edge throughput is defined as the minimum data rate achieved by 95 percent of users in the sector. The results show that fractional frequency reuse outperforms the full and partial frequency reuse configurations, especially for cell edge throughput. In order to get good cell edge reliability, it is preferable to send the MAP message in a PUSC 1/3 zone. The fractional frequency reuse configuration would be a good choice in this kind of deployment since it can combine both the PUSC 1/3 zone and a PUSC 1/1 zone in the same downlink subframe to provide good cell edge coverage and cell edge throughput performance, while at the same time not compromising on overall sector throughput and average user throughput. IEEE Communications Magazine October 2008 47 WANG LAYOUT 9/22/08 12:24 PM Page 48 DL full buffer sector spectral efficiency (SE) 1.6 1.4 Sector SE (b/s/Hz) 1.2 1 0.8 0.6 0.4 1x3x1 Frequency reuse 1x3x3 SIMO STBC MIMO-MMSE MIMO-MLD TxAA Percentage (%) 65 60 55 50 45 40 35 30 25 20 15 10 5 0 Improve in sector throughput Improvement in user Improvement in cell throughput edge throughput Compared to PUSC 1/3 Compared to PUSC 1/1 DL web browsing sector spectral efficiency (SE) 1.2 1 Sector SE (b/s/Hz) 1 SIMO STBC MIMO-MMSE TxAA Prob. outage < abscissa 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 1x3x1 Frequency reuse 1x3x3 0.1 0 10 UL full buffer sector spectral efficiency (SE) 0.9 0.8 0.7 Sector SE (b/s/Hz) 0.6 0.5 0.4 0.3 0.2 0.1 0 1x3x1 Frequency reuse 1x3x3 SIMO (2Rx, MRC) SIMO (8Rx, MRC) SDMA (8Rx, MMSE) 20 Emperical CDF (outage: FER < 2.0%) 0.8 0.6 0.4 0.2 105 SS per sector 110 SS per sector 120 SS per sector 30 40 50 60 70 Over-the-air delay (ms) 80 90 I Figure 3. a) Downlink sector spectral efficiency comparison with full buffer traffic; b) downlink sector spectral efficiency comparison with HTTP traffic; c) uplink sector spectral efficiency comparison with full buffer traffic; d) relative improvements of fractional frequency reuse over PUSC 1/3 and PUSC 1/1; e) VoIP performance of mobile WiMAX systems. 802.16m [12], the key performance targets for 802.16m include: The 802.16m system should be backward compatible with current mobile WiMAX systems. The 802.16m system should provide more than twice the spectral efficiency of mobile WiMAX release 1.0 in both downlink and uplink for metrics like average sector throughput, average user throughput and cell edge user throughput. The 802.16m system should provide more than 1.5 times the VoIP capacity of mobile WiMAX release 1.0. The 802.16m system should provide lower latency than mobile WiMAX release 1.0. The 802.16m evolved mobile WiMAX profile is targeted to finish at the fourth quarter of 2009 and be deployed in 2011. IEEE 802.16 Task Group m (TGm) is working actively to develop the new 802.16m standard. Several new techniques are under discussion for 802.16m, including: Improved and backward compatible frame structure and system protocol Smaller frame/sub-frame size to reduce latency New multi-antenna technologies 48 IEEE Communications Magazine October 2008 WANG LAYOUT 9/22/08 12:24 PM Page 49 Improved interference coordination and management schemes for both downlink and uplink New control channel design with better system coverage and reduced overhead Persistent scheduling for VoIP and realtime video services Optimized handover, more efficient paging and random access, and so on These new techniques cover almost all areas of cellular system design, and will significantly improve the performance of the current WiMAX system while maintaining backward compatibility. [11] P. J. Fleming and B. Simon, A Fluid Model of VoIP over Wireless Broadband, P roc. 45th Allerton Conf. Commun., Control and Computing, Sept. 2007. [12] IEEE 802.16 Broadband Wireless Access WG, IEEE 802.16m System Requirements, Oct. 2007. With the ongoing phased deployment of the first release of mobile WiMAX systems in the U.S. and globally, the wireless industry has already started the evolution process for more advanced mobile WiMAX systems. ADDITIONAL READING: [1] J. G. Andrews, A. Ghosh, and R. Muhamed, Fundamentals of WiMAX: Understanding Broadband Wireless Networking, Prentice Hall, 2007. BIOGRAPHIES F AN W ANG [SM] (fanw@motorola.com) received B.S. and M.S. degrees from Shanghai Jiao Tong University, China, and a Ph.D. degree from the School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana, in 1992, 1995, and 1999, respectively. Since 2000 he has been with the Networks Advanced Technologies Department of Motorola Networks. His current research interests are in signal processing and wireless communications. He was an associate editor of the IEEE Control Systems Society Conference Editorial Board from 2001 to 2005. He was a finalist for the 1999 American Control Conference Best Student Paper Award. AMITAVA GHOSH [SM]joined Motorola in 1990 after receiving his Ph.D. in electrical engineering from Southern Methodist University, Dallas, Texas. Since joining Motorola he has worked on eight different wireless technologies: IS-95, cdma-2000, 1xEV-DV/1XTREME, 1xEV-DO, UMTS, HSPA, 802.16e/WiMAX/802.16m, Enhanced EDGE, and 3GPP LTE. Recently, he led the effort from Motorolas side in defining 3GPP LTE physical layer standards from the concept phase to the adopted baseline. He has 37 issued patents and numerous external and internal technical papers. He is a reviewer for IEEE Communications Society and was a book reviewer for a popular WiMAX book. Currently, he is a fellow of technical staff in Network Advance Technology, Motorola Home and Networks Mobility, and works in the area of current and future air interface technologies for 802.16m, 3GPP LTE, and other broadband technologies. His research interests are in the area of digital communications, signal processing and wireless communications. He is an associate member of the Motorola Science Advisory Board. C HANDY S ANKARAN has been with Motorola since August 2000 and is currently in the Networks Advanced Technologies organization of the Wireless Broadband Division. His research interests are on problems related to wireless communications, and he has been working on advanced topics related to emerging broadband technologies like WiMaX and LTE. He holds a Ph.D. in electrical engineering from the University of Maryland, College Park. P HILIP J. F LEMING is a fellow of technical staff in the Networks Advanced Technologies organization of the Wireless Broadband Division at Motorola, Inc. where he is also senior director of the Advanced Radio Technology and Performance group. His current research interests lie in the area of broadband wireless networking and communication theory, and he has done work in queuing theory and its applications to wireless and wireline networking and computer engineering. He has received both the Distinguished Innovator Award and the Dan Noble Fellow Award at Motorola, and has a Ph.D. in mathematics from the University of Michigan. FRANK HSIEH is a senior staff engineer in Networks Advanced Technologies at Motorola. He has 10 years of experience in wireless communications and cellular network systems. His current work at Motorola is related to WiMAX (802.16e) and its evolution standard (802.16m), particularly in the areas of MIMO technologies and advanced receivers. He holds a Ph.D. in physics from the University of Michigan. S TANLEY J. B ENES is a principal staff engineer in the Networks Advanced Technologies organization of the Wireless Broadband Division at Motorola, Inc. where he serves as a member of the Advanced Radio Technology and Performance group. His current research interests lie in broadband wireless networking and electromagnetic propagation. He has five U.S. patents, is a Lieutenant in the U.S Navy Engineering Duty Officer Corps, and has an M.S.E.E. from Marquette University and an M.S.TCOM. from DePaul University. SUMMARY Mobile WiMAX has spurred tremendous interest from operators seeking to deploy high-performance yet cost-effective broadband wireless networks. This article provides a detailed overview of the mobile WiMAX system, and summarized its coverage and performance capabilities for various features including different types of MIMO schemes, fractional frequency reuse schemes, and receiver structures under different workloads and channel conditions. With the ongoing phased deployment of the first release of mobile WiMAX systems in the United States and globally, the wireless industry has already started the evolution process toward more advanced mobile WiMAX systems. The evolutions include a project in the WiMAX Forum with minor revisions to the 802.16e specification and a project at the IEEE 802.16 working group for developing a more advanced 802.16m standard. This article highlights several key requirements and techniques of the ongoing mobile WiMAX evolution. ACKNOWLEDGMENT The authors would like to acknowledge Dr. R. Ratasuk, Dr. W. Xiao, Dr. B. Mondal, Mark Cudak, Dr. F. Vook, Tim Wilson, Lisa Whitelock, and Rick Keith for their comments and suggestions. REFERENCES [1] IEEE 802.16-2004, Local and Metropolitan Area Networks Part 16: Air Interface for Fixed Broadband Wireless Access Systems, Oct. 2004. [2] IEEE 802.16-2005, Part 16: Air Interface for Fixed and Mobile Broadband Wireless Access Systems Amendment 2: Physical and Medium Access Control Layers for Combined Fixed and Mobile Operation in Licensed Bands and Corrigendum 1, Feb. 2006. [3] WiMAX Forum, WiMAX Forum Mobile System Profile Release 1.0, rev. 1.5.0, Nov. 2007. [4] WiMAX Forum, Mobile WiMAX Part I/II: A Technical Overview and Performance Evaluation, Feb. 2006. [5] F. Wang et al., WiMAX Overview and System Performance, IEEE VTC, Sept. 2006. [6] IEEE 802.16 Broadband Wireless Access WG, IEEE 802.16m Evaluation Methodology, Dec. 2007. [7] F. Wang et al., IEEE 802.16e System Performance: Analysis and Simulations, 16th Annual IEEE PIMRC, 2005. [8] F. Wang et al., WiMAX System Performance with Multiple Transmit and Multiple Receive Antennas, I EEE VTC, Apr. 2007. [9] C. Sankaran, A. Ghosh, and F. Wang, Performance Study of a Fractional Frequency Reuse (FFR) Scheme for an 802.16e Based WiMAX System, 2008, preprint. [10] F. Hsieh, F. Wang, and A. Ghosh, Link Performance of WiMAX PUSC, IEEE WCNC, Apr. 2008. IEEE Communications Magazine October 2008 49
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Carleton University - SCE - 5441
The 17th Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC06)THE DESIGN AND DECODING SCHEMES FOR SHORTENED TURBO PRODUCT CODESChanglong Xu, Ying-Chang Liang and Wing Seng Leon Institute for Infocomm Research
Carleton University - SCE - 5441
TURBO-CODES AND HIGH SPECTRAL EFFICIENCY MODULATIONStkphane Le Goff, Alain Glavieux and Claude BerrouSt6phane Le Goff and Claude Berrou, Integrated Circuits for Telecommunications Laboratory Alain Glavieux, Digital Communication LaboratoryTELECOM BRETA
University of Ottawa - SCIENCE - CHM2120
University of Ottawa - SCIENCE - CHM2120
CHM 2120 Assignment #1 In this assignment: - Lewis structures, formal charge - Electronegativity, dipoles - Resonance - Acid/base 1. Draw the following molecules as full Lewis structures. Many molecules below possess a charge that is not showncalculate th
University of Ottawa - SCIENCE - CHM2120
CHM 2120 Assignment #1 ANSWERS In this assignment: - Lewis structures, formal charge - Electronegativity, dipoles - Resonance - Acid/base 1. Draw the following molecules as full Lewis structures. Many molecules below possess a charge that is not showncalc
University of Ottawa - SCIENCE - CHM2120
CHM 2120 Assignment #2 In this assignment: - Separation of organic compounds using acid/base techniques - Acids/Bases - SN2, SN1 - E2, E1 1. How would you separate the following mixtures of compounds by extraction? a. Octan-1-ol and octan-1-amine b. Cyclo
University of Ottawa - CHM - 2120
CHM 2120 Assignment #2 ANSWERS In this assignment: - Separation of organic compounds using acid/base techniques - Acids/Bases - SN2, SN1, E2, E1 1. How would you separate the following mixtures of compounds? a. Octan-1-ol and octan-1-amine Dissolve both i
University of Ottawa - CHM - 2120
CHM 2120 - Assignment 3 - ANSWERS In this assignment: - Electrophilic addition reactions - Radical substitution reactions - Anti-Markovnikov addition to alkenes - Syntheses Note: Some questions were taken directly from CHM1321 assignments. You can choose
University of Ottawa - CHM - 2120
CHM 2120 - Assignment 4 In this assignment: - Drawing and naming aromatic compounds - Drawing resonance structures involving aromatic compounds - Distinguishing aromatic from antiaromatic compounds 1. Supply a clear structure of: a) m-dibromobenzene; b) 3
University of Ottawa - CHM - 2120
CHM 2120 - Assignment 4 ANSWERS In this assignment: - Drawing and naming aromatic compounds - Drawing resonance structures involving aromatic compounds - Distinguishing aromatic from antiaromatic compounds 1. Supply a clear structure of:a) m-dibromobenze
University of Ottawa - CHM - 2120
CHM 2120 Assignment 5 Reactions of aromatic compounds In this assignment: - Electrophilic aromatic substitution - Manipulation of products of aromatic substitution - Acidity/basicity is affected by aromaticity and substituents on aromatic rings - Synthesi
University of Ottawa - CHM - 2120
CHM 2120 Assignment 5 Reactions of aromatic compounds ANSWERS In this assignment: - Electrophilic aromatic substitution - Manipulation of products of aromatic substitution - Acidity/basicity is affected by aromaticity and substituents on aromatic rings -
University of Ottawa - CHM - 2120
CHM 2120 Assignment 6 In this assignment: - NMR spectroscopy - IR spectroscopy - Problem-solving and structure identification 1. Associate each of the following IR spectra with one of the following compounds and justify your answer. a. Propanoic acid b. 2
University of Ottawa - CHM - 2120
CHM 2120 Assignment 6 ANSWERS 1. Associate each of the following IR spectra with one of the following compounds and justify your answer. a. Propanoic acid: look for a carbonyl stretch and a broad OH stretch b. 2-Pentanol: look for an OH peak (broad). No c
University of Ottawa - CHM - 2120
CHM 2120 Assignment 7 In this assignment: - Oxidation of alcohols - Nucleophilic addition to carbonyls - Acetals and derivatives - Wittig reaction - Baeyer-Villiger reaction 1. Provide names for the following compoundsa)Oc) Ob)Od) HO2 C O2. Draw th
University of Ottawa - CHM - 2120
CHM 2120 Assignment 7 ANSWERS In this assignment: - Oxidation of alcohols - Nucleophilic addition to carbonyls - Acetals and derivatives - Wittig reaction - Baeyer-Villiger reaction 1. Provide names for the following compoundsa) ( E )-hept-4-enal b)S S
University of Ottawa - CHM - 2120
CHM 2120 Assignment 8 In this assignment: - The aldol reaction - Haloform reaction - Synthetic applications Note: many questions incorporate earlier material 1. Draw the mechanism for the tautomerization of 1-phenyl-1-butanone (also known as butyrophenone
University of Ottawa - CHM - 2120
CHM 2120 Assignment 8 - ANSWERS In this assignment: - The aldol reaction - Haloform reaction - Synthetic applications Note: many questions incorporate earlier material 1. Draw the mechanism for the tautomerization of 1-phenyl-1-butanone (also known as but
University of Ottawa - CHM - 2120
CHM 2120 Assignment 9 ANSWERS In this assignment: - Esterification - Saponification of esters - Chemistry of carbonyl derivatives - Synthesis of carbonyl compounds (via oxidation of alcohols, etc) For the brainstorming/analysis portions of a synthesis, yo
University of Ottawa - CHM - 1321
CHM 1321 Assignment 11) Draw Lewis structures, showing all unshared electrons, for the following molecules: (a) CH3NH2 (b) CH2CH2 (c) C2H2 (d) CH3CH2CHO (e) CH3CH2OH2+ (f) (CH3)3N (g) CH3CN (h) CH3CH(OH)CH3 (i) CH3NCO (j) CH2CHCH(OH)CH2CO2H (k) NCCH2COCH
University of Ottawa - CHM - 1321
CHM 1321 Assignment #2In this assignment: - Drawing Lewis structures and assigning formal charges - Analyzing the effects of intermolecular forces - Conformational analysis 1) Draw Lewis structures for the following molecules. Identify the hybridization
University of Ottawa - CHM - 1321
CHM 1321 Assignment #2 - Answers1) Draw Lewis structures for the following molecules. Identify the hybridization oft the underlined atoms. a.AlCl3 Cl Cl sp2 The &quot;p &quot; or bital is empty Cl Alf. Propanoic acidHH O C C H C O H HHg. FormaldehydeH CO Hb.
University of Ottawa - CHM - 1321
CHM 1321 Assignment 31) Identify each of the following pairs as constitutional isomers, stereoisomers (configurational isomers), or conformers.a) + d) Br Br + b) + e) Br BrBr Br +BrBrc) + f) Br Br + Br Br2) Draw each structure below along with its
University of Ottawa - CHM - 1321
CHM 1321 Assignment 3 - ANSWERS1) Identify each of the following pairs as constitutional isomers, stereoisomers (configurational isomers), or conformers.a) + Stereoisomers b) + Constitutional isomers c) + Same compound f) Br Br + Br e) Br Br + Br d) Br
University of Ottawa - CHM - 1321
CHM 1321 Assignment 4In this assignment: - Acid/base reactions - Resonance 1) Draw the important resonance forms and show the resonance hybrid structures for the following:(a) H3C O C CH3 (b) H3C O C CH2 H C C H (c) O C OH (d) H C C C CH3 3 H2 CH2 C CH
University of Ottawa - CHM - 1321
CHM 1321 Assignment 4 Answers1) Draw the important resonance forms and show the resonance hybrid structures for the following:(a) H 3C O C CH3 O C O CH3 H 3C + CH 3H3 CO CCH3H3 CO (b) H 3C C CH 2 O C OH 3CO CCH2H3 CO CCH2H3CCH2 H3 C + CH2
University of Ottawa - CHM - 1321
CHM 1321 Assignment #5 In this assignment: - SN2 reactions - SN1 reactions (these occur primarily when there is a tertiary alpha carbonwill be seen in class shortly) 1. Use arrow notation to show the mechanisms of the following reactions. Use your mechani
University of Ottawa - CHM - 1321
CHM 1321 Assignment #5 - ANSWERS 1. Use arrow notation to show the mechanisms of the following reactions. Use your mechanism to predict the product of the reaction. Identify the nucleophile, its nucleophilic atom, the carbon of the electrophile and the le
University of Ottawa - CHM - 1321
CHM 1321 Assignment #6 In this assignment: - Nucleophilic addition to carbonyls - Elimination reactions (E1, E2) 1) Give the products of the following reactions and give mechanisms to show how they are formed:O a) H3CO O b) H 1) NaBH4 2) H3O+ 1) NaBH4 2)
University of Ottawa - CHM - 1321
CHM 1321 Assignment #6 - ANSWERS In this assignment: - Nucleophilic addition to carbonyls - Elimination reactions (E1, E2) To be covered the week of March 24th 1) Give the products of the following reactions and give mechanisms to show how they are formed
University of Ottawa - CHM - 1321
CHM 1321 Assignment 7 In this assignment: - Alkene addition reactions - Synthesis 1. Predict the major product(s) of the following reactions and give a mechanism to account for its formation.a) + HBrb)+ HCl + HClc)1-methylcyclohexened)+ HBrH 2SO4
University of Ottawa - MAT - 2378
Assignment 1Due date: 23 September 2009Total number of points: 33Q1. (2.1 in the textbook) For parts (a) and (b), (i) identify the variables in the study; (ii) for each variable, write the type of variable (cathegorical/ordinal, discrete etc.); (iii) i
University of Ottawa - MAT - 2378
Assignment 2Due date: 7 October 2009Total number of points: 34Q1. The three events are shown on the Venn diagram: '$ '$ A B&amp;% &amp;% '$ C &amp;% Reproduce the gure and shade the region corresponding to the following events: (a) (c) (e) Ac (A and B ) or C (A a
University of Ottawa - MAT - 2378
Assignment 3Due date: 21 October 2009Total number of points: 32Q1. A medical research team wished to evaluate a proposed screening test for Alzheimers disease. The test was given to a random sample of 450 patients with Alzheimers disease, in 436 cases
University of Ottawa - MAT - 2378
Assignment 4Due date: 16 November 2009Total number of points: 27Q1. (6.39) In a natural population of mice near Ann Arbor, Michigan, the coats of some individuals are white-spotted on the belly. In a sample of 580 mice from the population, 28 individua
University of Ottawa - MAT - 2378
Assignment 6Due date: 7 December 2009Total number of points: 22Q1. (12.5, 12.14, 12.21, 12.28) Twenty plots were randomly chosen in a large eld of corn. For each plot, the plant density (number of plants in the plot) and the mean cob weight (g of grain
University of Ottawa - PSY - 2105
Background and TheoriesChapter 1Learning ObjectivesLearning Objective 1.1 Understand the philosophical and historical roots of child psychology. Learning Objective 1.2 How can we understand the influences of nature and nurture, stability and change, an
University of Ottawa - PSY - 2105
Research MethodsChapter 2 ChapterLearning Objectives Learning Learning Objective 2.1 Understand how researchers use the scientific method to study child development. study Learning Objective 2.2 Compare and contrast the research methods commonly used t
University of Ottawa - PSY - 2105
Genetics: The Biological Genetics: Context of Development ContextChapter 3 ChapterLORD THE HUMAN GENOME CODE HAS BEEN DISCOVEREDOH THOSE HACKERS! I WILL HAVE TO CHANGE THE PASSWORD.Learning Objectives Learning Learning Objective 3.1 Identify and desc
University of Ottawa - PSY - 2105
Chapter 5 ChapterPhysical DevelopmentLearning Objectives Learning Learning Objective Discuss the assessment of and factors affecting newborn health. newborn Learning Objective Describe ways in which the infants behaviour appears to be organized at birt
University of Ottawa - PSY - 2105
Chapter 6 ChapterSensory and Perceptual Sensory Development 2nd. part DevelopmentLearning Objectives Learning Learning Objective 6.1 Explain the issues for understanding perceptual development. development. Learning Objective 6.2 Outline the developmen
University of Ottawa - PSY - 2105
Cognitive Development: Cognitive The Piagetian Approach TheChapter 7 ChapterLearning Objectives Learning Learning Objective 7.1 Define the concepts from biology that Piaget used to explain cognitive development and evaluate his theory of stages. of Lea
University of Ottawa - PSY - 2105
Cognitive Development: Cognitive The Piagetian Approach TheChapter 7 ChapterLearning Objectives Learning Learning Objective 7.3 Identify some strengths and limitations of preoperational thought in childrens cognitive development. childrens Learning Obj
University of Ottawa - PSY - 2105
Cognitive Development: Cognitive The Piagetian Approach TheChapter 7 ChapterLearning Objectives Learning Learning Objective 7.3 Identify some strengths and limitations of preoperational thought in childrens cognitive development. childrens Learning Obj
University of Ottawa - PSY - 2105
Chapter 9 ChapterCognitive Development: Cognitive The Sociocultural Approach ApproachLearning Objectives Learning Learning Objective 9.1 Describe the sociocultural approach to child development and compare and contrast it with cognitive-developmental a
University of Ottawa - PSY - 2105
Chapter 11 ChapterLanguage DevelopmentLearning Objectives Learning Learning Objective 11.1 Compare and contrast four major theories of language development. development. Learning Objective 11.2 Trace the developments in the first year of life that esta
University of Ottawa - PSY - 2105
Chapter 12 ChapterEarly Social and Emotional Early Development DevelopmentLearning Objectives Learning Learning Objective 12.1 Understand the major theoretical approaches to early social development. development. Learning Objective 12.2 Understand the
University of Ottawa - PSY - 2105
Chapter 12 ChapterEarly Social and Emotional Early Development DevelopmentLearning Objectives Learning Learning Objective 12.3 Define temperament and describe its role in child development. and Learning Objective 12.4 Explain the role of attachment in
University of Ottawa - PSY - 2105
Chapter 14 ChapterMoral DevelopmentLearning Objectives Learning Learning Objective 14.1 Understand four theoretical approaches to the study of moral development. moral Learning Objective 14.2 Understand what research has found concerning childrens mora
University of Ottawa - PSY - 2105
Chapter 15 ChapterFamilies and PeersLearning Objectives Learning Learning Objective Analyze the influence Objective of parents and other family members on childhood socialization. childhood Learning Objective Analyze the ways that families function as
University of Ottawa - MAT - 1330
Prof. Samina Bashir, University of Ottawa, MAT 1330, Fall 2008 Assignment 1, due October 1, 8:30am in class Student Name DGD 1 (Monday) DGD 2 (Tuesday) Student Number DGD 3 (Wednesday)Problem 1: [4 points] Suppose that every morning a patient receives th
University of Ottawa - MAT - 1330
MAT 1330: Calculus for the Life Sciences I Assignment 1, SOLUTIONS Pawel Lorek01.10.2008University of OttawaProblem 1: [4 points] Suppose that every morning a patient receives the same dose of drug. From the dose, the drug concentration in his blood in
University of Ottawa - MAT - 1330
Prof. SAMINA BASHIR, University of Ottawa, MAT 1330, Fall 2008 Assignment 2, due November 5, 8:30am in class Student Name DGD 1 (Monday) DGD 2 (Tuesday) Student Number DGD 3 (Wednesday)Problem 1: [4 points] Consider the following nonlinear DTDS for a bir
University of Ottawa - MAT - 1330
Problem 3: [4 points] Give the equation of the tangent line to the curve y = sin(sin(x) at (x, y ) = (, 0). Solution: The equation of the tangent line at (x, y ) = (, 0) is y = f ( ) + f (pi)(x ) . f (x) = cos(sin(x) cos(x), f ( ) = 1, and f ( ) = 0. Henc
University of Ottawa - MAT - 1330
Prof. SAMINA BASHIR, University of Ottawa, MAT 1330, Fall 2008 Assignment 3, due November 26, 8:30am in class Student Name DGD 1 (Monday) DGD 2 (Tuesday) Student Number DGD 3 (Wednesday)Problem 1: [2 points] Find the Taylor polynomials of degree 3 and 5
University of Ottawa - MAT - 1330
Pawel Lorek, University of Ottawa, MAT 1330, Fall 2008 Assignment 3, due November 26, 19:00 in class Student Name DGD 1 (Monday) Student Number DGD 2 (Thursday)Problem 1: [2 points] Find the Taylor polynomials of degree 3 and 5 of the function f (x) = si
University of Ottawa - MAT - 1330
University of Ottawa - MAT - 1330
CHM 2120 NMR Problem Set 1.Chemical Formula: C 5H10O32PPM102.Chemical Formula: C5 H10 O1086PPM42013.Chemical Formula: C 5 H10O34.2PPM10Chemical Formula: C 4 H8 O2432 PPM1025.Chemical Formula: C 4 H8 O2543PPM2106.C
University of Ottawa - MAT - 1330
CHM 2120 NMR Problem set - Answers 1. 2-pentanone 12. ethyl butyrate2. Pentanal13. propyl propionate3. 3-pentanone14. pentyl formate4. Methyl propanoate15. hexanoic acid5. Ethyl acetate16. butyl acetate6. Butanoic acid17. methyl pentanoate7. 3-
University of Ottawa - MAT - 1330
CHM 2120 Test September 25, 2007Please note : The 2008 test will include alkene addition reactions The marks are given as a guide and are subject to change Name : _ Student Number : _Section: A (MRN Aud): _ B (MNT 203): _Approximate total number of mar
University of Ottawa - MAT - 1330
CHM 2120 Test ANSWERS September 23, 2008First Name: _ Student Number: _ Section: A (MRN Aud): _ B (UCU Aud): _Last Name: _Approximate total number of marks:Test ANSWERS 1. Draw the following molecules as full Lewis structures and name them. (6 points)