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Georgia Tech - ECE - 6543
J.2 Adaptation Layers805VPI = x, VCI = a 0 1 VPI = x, VCI = cVPI = y, VCI = a 2 VPI = y, VCI = c (a)VCI = b3Incoming Outgoing Outgoing VPI link VPI x 1 to 2 yVCI = d4(b)Figure J.3 Use of ATM VPIs for simplifying cell-forwarding across a shared r
Georgia Tech - ECE - 6543
806Asynchronous Transfer Modeis protected by a CRC (4 bits of SN are protected by a 3-bit CRC and a 1-bit parity check), the 47-byte payload is unprotected. This is considered adequate for the circuit emulation and voice applications that AAL-1 is desig
Georgia Tech - ECE - 6543
J.5 Signaling and Routing807connections it can admit without violating the guranteed QoS for the connections when the cells from these connections are transferred across the network. A new connection will not be admitted if it would potentially result i
Georgia Tech - ECE - 6543
Optical NetworksA Practical Perspective Third EditionRajiv Ramaswami Kumar N. Sivarajan Galen H. SasakiAMSTERDAM BOSTON HEIDELBERG LONDON NEW YORK OXFORD PARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY TOKYOMorgan Kaufmann Publishers is an imprint of E
Georgia Tech - ECE - 6543
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Georgia Tech - ECE - 6543
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Georgia Tech - ECE - 6543
108Propagation of Signals in Optical FiberThe system impact of dispersion and nonlinearities and their interplay are discussed in detail in [KK97, Chapter 8]. Information on the new types of bers that have been introduced to combat dispersion and nonlin
Georgia Tech - ECE - 6543
Problems231Input3 dB couplerFigure 3.80 A 3 dB coupler with the two outputs connected by a piece of ber.An overview of optical detectors and receivers can be found in [Per08]. The tutorial article by Spanke [Spa87] is a good review of large switch ar
Georgia Tech - ECE - 6543
280Modulation and Demodulationtechniques have been applied to calculate the capacity limits of optical systems in [MS00]. The principles of signal detection are covered in the classic books by van Trees [vT68] and Wozencraft and Jacobs [WJ90]. For a der
Georgia Tech - ECE - 6543
Problems355transmission and, at the time of this writing, is increasingly being deployed in longhaul networks.Problems5.1 In an experiment designed to measure the attenuation coefcient of optical ber, the output power from an optical source is coupled
Georgia Tech - ECE - 6543
Problems429standard, Ethernet VLANs are dened in IEEE 802.1Q, Provider Bridges are dened in IEEE 802.1ad, Provider Backbone Bridges are dened in IEEE 802.1ah, and Provider Backbone BridgeTrafc Engineering is dened in IEEE 802.1Qay. There is the IEEE Com
Georgia Tech - ECE - 6543
464WDM Network ElementsProblems7.1 Consider a ring network with two intermediate adjacent nodes A and B, each with an OADM. (a) Consider the case where the OADM at node A adds wavelength 1 and the OADM at node B drops the adjacent wavelength 2 . Suppos
Georgia Tech - ECE - 6543
Problems507STS-1 (51 Mb/s) connection SONET regenerator SONET terminal 10 Gb/s line rate OADM Amplifier OADM OADM SONET ADM SONET ADM SONET terminalFigure 8.13 A combined SONET/WDM optical network for Problem 8.2.Laser safety is covered by several sta
Georgia Tech - ECE - 6543
Problems567B A CEDFigure 9.28 Network topology for Problem 9.6.Problems9.1 Consider a shared protection ring with two types of restoration possible. In the rst scheme, the connection is rerouted by the source and destination around the ring in the
Georgia Tech - ECE - 6543
Problems619As mentioned in Section 10.2.2, there are two common methods for computing disjoint paths. One method rst computes a shortest path and then a second path that avoids the rst. Since there may be multiple shortest paths, multiple candidate disj
Georgia Tech - ECE - 6543
698Photonic Packet Switchingtime domain or in the frequency domain. The codes are carefully designed so that many transmitters can transmit simultaneously without interfering with one another, and the receiver can pick out a desired transmitters signal
Georgia Tech - ECE - 6543
Problems741options. Be warned that these are rather biased views. The assumptions made signicantly impact the outcome, and these assumptions are usually biased toward supporting the products offered by the vendor doing the study. Network design methods
Georgia Tech - ECE - 6543
40Introduction to Optical Networksof the early undersea optical ber transmission systems. See also [KM98] for a more recent overview. Experiments reporting more than 1 Tb/s transmission over a single ber were rst reported at the Optical Fiber Communicat
Georgia Tech - ECE - 6543
110Propagation of Signals in Optical Fiber(b) For what value of z is the width of the pulse equal to that of an unchirped pulse, for the same value of z? (Assume the chirped and unchirped pulses have the same initial pulse width.) 2.12 2.13 Show that in
Georgia Tech - ECE - 6543
References237show that the resulting ltering function is periodic, with a period given by the least common multiple of f1 and f2 . For example, if periods of the two lters are 500 GHz and 600 GHz, then the cascaded structure will be periodic with a peri
Georgia Tech - ECE - 6543
References2854.17If the BER of an uncoded system is p, show that the same system has a BER of 3p2 + p3 when the repetition code (each bit is repeated three times) is used. Note that the receiver makes its decision on the value of the transmitted bit by
Georgia Tech - ECE - 6543
362Transmission System EngineeringReferences[Agr95] G. P. Agrawal. Nonlinear Fiber Optics, 2nd edition. Academic Press, San Diego, CA, 1995. [BA94] F. Bruy` re and O. Audouin. Assessment of system penalties induced by polarization e mode dispersion in
Georgia Tech - ECE - 6543
430Client Layers of the Optical LayerTable 6.6 Specications for STM-16 intraofce and shorthaul interfaces (from ITU G.957).Parameter Transmitter Wavelength range Transmit power (max) Transmit power (min) Receive sensitivity (min) Receive overload (min)
Georgia Tech - ECE - 6543
466WDM Network Elements(b) Next suppose that 25% of the lightpaths passing through need to be converted from one wavelength to another. This is done by sending the lightpath to one of a pool of regenerators/wavelength converters attached to the OXC. Eac
Georgia Tech - ECE - 6543
508Control and ManagementABCDEFGOLTAmplifierFigure 8.14 Example for Problem 8.3.Draw a time line indicating the behavior of each node in the network after the failure, including the transmission of OCh-FDI and OMS-FDI signals. (b) Now assume t
Georgia Tech - ECE - 6543
References5699.10Consider a four-ber BLSR that uses both span and ring switching. What are the functions required in network management to (a) coordinate span and ring switching mechanisms and (b) allow multiple failures to be restored? Consider the ex
Georgia Tech - ECE - 6543
References623B A CEDFigure 10.22 Network topology for Problem 10.26.Gb/s A B C DB 15C 25 5D 5 35 15E 15 15 25 5(a) Assuming OC-192c (10 Gb/s) trunks are used, complete an equivalent table for the required number of lightpaths (that is, waveleng
Georgia Tech - ECE - 6543
References651transmitted out of each port on the wavelength router. Assume that in addition to the standard loss, we get only 1/2N of the transmitted power in each channel, where N is the number of ONUs. 11.2 Consider the RITENET architecture shown in F
Georgia Tech - ECE - 6543
References699to the header and payload. Again, if we want to maintain the payload at 90% of the overall packet, and the header at 10 bytes at 1 Gb/s, what size does the payload need to be?References[Ams83] S. Amstutz. Burst switchingan introduction. I
Georgia Tech - ECE - 6543
744Deployment Considerationswhere the crossconnect uses short-reach interfaces connected to transponders in the OLTs and to short-reach interfaces in the routers; (2) an opaque photonic crossconnect solution, where the photonic crossconnect (PXC) is con
Georgia Tech - ECE - 6543
788Multilayer Thin-Film FiltersThe three-cavity lter is described by the sequence G(H L)5 H LL(H L)11H LL(H L)11 H LL(H L)5 H G. Again, the values nG = 1.52, nL = 1.46, and nH = 2.3 were used.References[Kni76] Z. Knittl. Optics of Thin Films. John Wil
Georgia Tech - ECE - 6543
800Receiver Noise StatisticsNote that the photocurrent is passed through a low-pass lter with bandwidth Be . The noise power at the output of the lter is given by 2 = where2 shot = 2e [GPi + Pn (G 1)Bo ]Be , 2 sig-spont = 4 Be Be 2 2 2 SI (f )df = shot
Georgia Tech - ECE - 6543
38Introduction to Optical Networksthan in the electrical layer. At the same time, the optical layer is evolving to provide additional functionality, including the ability to set up and take down lightpaths across the network in a dynamic fashion, and th
Georgia Tech - ECE - 6543
106Propagation of Signals in Optical Fiberlong times) to relieve strain and hence does not suffer the chemical surface changes that afict strained glass. Plastic optical ber has been in the home for decades. For example, the Sony/Philips Digital Interco
Georgia Tech - ECE - 6543
Summary2292fp - fs fs fp 2fs - fp fs fp 2fp - fs 2fp - fs FilterSOAFigure 3.79 Wavelength conversion by four-wave mixing in a semiconductor opticalamplier.efciency goes down signicantly as the wavelength separation between the signal and probe is in
Georgia Tech - ECE - 6543
278Modulation and Demodulation4.5.2InterleavingFrequently, when errors occur, they occur in bursts; that is, a large number of successive bits are in error. The Reed-Solomon codes we studied in the previous section are capable of correcting bursts of
Georgia Tech - ECE - 6543
Summary353ITU allows such systems to have some wavelengths that are on a 25 GHz grid; see ITU G.692 for details. That being said, a much more difcult decision is to pick a standard set of wavelengths for use in 4-, 8-, 16-, and 32-wavelength systems to
Georgia Tech - ECE - 6543
Summary427Table 6.5 Fibre Channel storage-area network.Name 1GFC 2GFC 4GFC 8GFC 10GFC Data Rate (MBytes/s) 100 200 400 800 1000 Transmission Rate (Gb/s) 1.063 2.125 4.252 8.504 10.519lasers at 850 nm are used with multimode bers with a reach of up to
Georgia Tech - ECE - 6543
Summary461Based on the discussion above, it would appear that the wavelength plane approach offers a cheaper alternative to large-scale nonblocking optical switches. However, we did not consider how to optimize the number of add/drop terminations (which
Georgia Tech - ECE - 6543
Summary505Since the Class I safety standard also species that emission limits must be maintained during single-fault conditions, the open ber control circuitry at each node is duplicated for redundancy.SummaryNetwork management is essential to operate
Georgia Tech - ECE - 6543
Summary565If any of the conditions above are not met, then the protection scheme may not converge. For example, if the client layer protection is nonrevertive, it may switch over once to the protection path, discover that path is not available, and not
Georgia Tech - ECE - 6543
618WDM Network DesignSummaryWe studied the design of wavelength-routing networks in this chapter. We saw that there is a clear benet to building wavelength-routing networks, as opposed to simple point-to-point WDM links. The main benet is that trafc th
Georgia Tech - ECE - 6543
Summary649broadcast network with dedicated bandwidth and eventually to a switched network with dedicated bandwidth.SummaryService providers, both telephone operators and cable companies, are actively looking to deploy broadband access networks to prov
Georgia Tech - ECE - 6543
696Photonic Packet SwitchingSummaryPhotonic packet-switched networks offer the potential of realizing packet-switched networks with much higher capacities than may be possible with electronic packet-switched networks. However, signicant advances in tec
Georgia Tech - ECE - 6543
Summary739(O/E) conversions, particularly at the higher bit rates, it makes sense to minimize the number of these converters in the network. The rst step in this direction was the development of ultra-long-haul systems, which provided longer reach betwe
Georgia Tech - ECE - 6543
The horizons of optical networks are much more than high speed physical layer transport. An intelligent optical network design must include higher network layer considerations. This is the only book currently on the market that addresses optical networks
Georgia Tech - ECE - 6543
1.2Services, Circuit Switching, and Packet Switching5Central officeHomeBusinessLong haul Interexchange networkMetropolitan Interoffice networkMetropolitan Access networkFigure 1.1 Different parts of a public network.The network shown in Figure 1
Georgia Tech - ECE - 6543
10Introduction to Optical Networks1.3Optical NetworksOptical networks offer the promise to solve many of the problems we have discussed. In addition to providing enormous capacities in the network, an optical network provides a common infrastructure o
Georgia Tech - ECE - 8833
MATLABThe Language of Technical ComputingComputation Visualization ProgrammingGetting Started with MATLABVersion 5How to Contact The MathWorks:508-647-7000 508-647-7001 The MathWorks, Inc. 24 Prime Park Way Natick, MA 01760-1500http:/www.mathworks.
Princeton - ECO - 310
ECO 310, Fall 2008 Problem Set 2: Consumer Theory Due in class on October 7Question 1You have just emerged from medical school with a debt service burden of $25,000 per year, and have set up practice. You have to decide how hard to work. For each hour o
Princeton - ECO - 310
ECO 310, Fall 2008 Problem Set 5: Equilibrium Analysis Due in class on November 18 Question 1In this problem we will consider the sh industry on the island of San Serife. For this purpose we will aggregate all the other goods into one composite, and meas
Princeton - ECO - 310
ECO 310, Fall 2008 Problem Set 6: General Equilibrium, Monopoly Due in class on November 25 Question 1Consider a small country with two rms. Firm 1 produces x = min(kx , lx ) units of good x; rm 2 produces y = ky ly units of good y . This country has 24
Princeton - ECO - 310
ECO 310, Fall 2008 Problem Set 7: Oligopoly Due in class on December 2 Question 1Consider a Cournot duopoly with homogeneous products. The inverse demand function is given by P = (q1 + q2 )3/2 . Each rms marginal cost is constant and equal to c > 0. (a)
Princeton - ECO - 310
ECO 310, Fall 2008 Problem Set 8: Uncertainty Due in class on December 9 Question 1Satoru is an expected utility maximizer with von Neumann-Morgenstern index U (W ). He is oered the following gamble: gain $h with probability 1/2+ , and lose $h with proba
Princeton - ECO - 310
Econ 310 Problem Set 1Lucas Manuelli (rst question being slightly altered) October 13, 2008Question 1 (b) For x > 0 we have f 0 (x) = 80 20x so f 0 (4) = 0: In addition for x > 0 we have f 00 (x) = 20 so the function is concave for positive x so that x
Princeton - ECO - 310
Econ 310 Problem Set 2Lucas Manuelli October 5, 2008Exercise 1 (a) I = 50H (b) We simply need to maximize U (I; H ) = U (50H = ln(50H 25000; H ) 25000) + 2 ln(5000 H) 25000taking the derivative and setting equal to zero we see that U0 = 50 50H 25000 2
Princeton - ECO - 310
Economics 310 Microeconomic Theory: A Mathematical Approach Fall 2008 Solution to Problem Set 3 Question 1:For each of the following utility functions over two goods, nd the Marshallian demand, the Hicksian demand and expenditure function The Marshallian
Princeton - ECO - 310
ECO 310 - Fall 2007 Microeconomic Theory - A Mathematical Approach Problem Set 4 - Answer KeyQuestion 1:(a) By Shepherds Lema E/px = X C so X C =M1 py/2 U2px1/2and Y C =1 px/2 U2py1/2.By Roys Identity X = X = (V /px )/(V /I ). Inverting the ex
Princeton - ECO - 310
ECO 310 Fall 2007 Microeconomic Theory A Mathematical Approach Problem Set 5 Answer KeyQuestion 1:(a) Each consumer maximizes U (x; y ) = y + 10 x subject to the budget constraint px + y = M : Substituting out y , the objective is F (x) Now F 0 (x) = 10
Princeton - ECO - 310
Economics 310 Microeconomic Theory: A Mathematical Approach Fall 2008 Solutions to Problem Set 6Question 1(a) The production possibility frontier shows the ecient combination of goods x and y with this countrys endowment of labor and capital. By drawing
Princeton - ECO - 310
ECO 310 - Fall 2008 Microeconomic Theory - A Mathematical Approach Problem Set 7 - Answer KeyQuestion 1:(a) There were two hard parts to this question: nasty algebra, and the intuition. Firm 1 prot is s1= (pc) q1 = f [q1 + q2 ]3 =2c g q1 :So its C