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### hw8_fall10

Course: ECE ECE603, Fall 2010
School: UMass (Amherst)
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Word Count: 331

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603 ECE - Probability and Random Processes, Fall 2010 Homework #8 Due: 12/06/10, in class I#F 30HG&amp; 5 E 5 D 75 CB A@9864 )#) 3210 ( '&amp;\$&quot; %# ! and (a) Find the probability density function (b) Find the mean function , and and are independent. . . (c) Find the autocorrelation function . wide-sense stationary (WSS)? 2. In a simple quadrature amplitude modulation (QAM)...

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603 ECE - Probability and Random Processes, Fall 2010 Homework #8 Due: 12/06/10, in class I#F 30HG& 5 E 5 D 75 CB A@9864 )#) 3210 ( '&\$" %# ! and (a) Find the probability density function (b) Find the mean function , and and are independent. . . (c) Find the autocorrelation function . wide-sense stationary (WSS)? 2. In a simple quadrature amplitude modulation (QAM) communication system, Q P (d) Is , where 1. Let is dened as: d S d S b a % e b a % X V U S H 14 1`CAfX d cH 14 1`Y'WTRQ where is the carrier frequency, and and are independent random variables with mean zero and variance . Assume all of the moments of and , except the rst moment (mean), are nonzero. Q . b g4 h (b) Find the autocorrelation function of wide-sense stationary? strict-sense stationary? (Hint: To show that it is not, try showing that is a discrete random variable.) cB 4 . ) for all . (b) Find the mean function and autocorrelation function for is a Gaussian random A@98 process. Q 7 CB 4 H x (a) Find the probability density function and variance . I observe the random process t v # pD E t pv D be a Gaussian random variable with mean . Q (c) Determine whether for all . (c) Find the autocorrelation function 4. Let (Note that t pv v (b) Find the mean function ) (Ct pv (a) Find the probability density function for all . If tails appears, v 3. A fair coin is tossed. If heads appears, . depends ) x 3y0wCt pv (d) Is on .). . t r p uHsQ qi H H (c) Is Q I (a) Find the mean function of . be a Gaussian random process with zero-mean and autocorrelation function HP . . I run this sample through a square-law 3) I ) 30P FI "P FI I ! FI % IF w (b) Suppose that I form the linear combination density function (pdf) of , and calculate . . Find CB 4 '" ! ; call it . ! "P F (a) Suppose I take a sample at time device to yield . Find 5 E 5. Let , the probability I
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UMass (Amherst) - ECE - ECE603
ECE 603 - Probability and Random Processes, Fall 2010Homework #9Due 12/10/10 (in class)#\$&quot; ! be a wide-sense stationary Gaussian random process with mean zero and autocorrelationbe a white Gaussian noise process with power spectral density&amp; %. Let
UMass (Amherst) - ECE - ECE603
University of MassachusettsDepartment of Electrical and Computer EngineeringECE 603 - Probability and Random ProcessesFall, 2010URL: http:/www-unix.ecs.umass.edu/ goeckel/ece603.htmlWe seethat the theory of probabilities is at bottom only common sen
UMass (Amherst) - ECE - ECE603
ECE 603 - Probability and Random Processes, Fall 2010Midterm Exam #1October 20th, 6:30-8:30pmOverviewThe exam consists of ve problems for 130 points. The points for each part of each problem are givenin brackets - you should spend your two hours acco
SUNY Buffalo - PGY300 - 166214
Lecture 1Overview of CentralNervous SystemChapter NineFigure 9-4aFigure 9-4b (2 of 2)Figure 9-7 - OverviewFigure 9-8Figure 9-4b (1 of 2)Cerebrospinal FluidFigure 9-5 - OverviewChoroid PlexusFigure 9-5bcBlood Brain BarrierFigure 9-6 - Overvie
SUNY Buffalo - PGY300 - 166214
Lecture 2The NeuronChapters Five and EightTHENEURON:DendritesSomaAxonSynapseFigure 8-2Figure 8-3 - OverviewGlial CellsFigure 8-5 Overview (1 of 3)Figure 8-6, bcElectrical Terms Charge ions (Na+, K+, Ca+, Cl-) Current ions/sec (into or out
SUNY Buffalo - PGY300 - 166214
Lecture 3Membrane ProteinsChapter FiveCell Membranes: Overview Cell structure &amp; support Barrier isolates cell (impermeable) Chemically Physically Regulates exchange (semipermeable) Cell communicationMembrane PermeabilityFigure 5-6Ion Transport
SUNY Buffalo - PGY300 - 166214
Lecture 4Action PotentialsChapter 8Figure 8-7Figure 8-8aFigure 8-13 - OverviewFigure 8-8 - OverviewTable 8-3The Action PotentialFigure 8-9 - OverviewFigure 8-9, step 1Sodium Channel Activation and InactivationFigure 8-10 - OverviewFigure 8-10
SUNY Buffalo - PGY300 - 166214
Lecture 5The SynapseChapter 6Figure 6-1 - OverviewFigure 6-2 - OverviewFigure 6-2bFigure 8-4Figure 8-20Figure 8-21 - OverviewVoltage-Gated Calcium ChannelsFigure 6-15Figure 8-24 - OverviewFigure 8-22 - OverviewFigure 8-23Figure 6-4 (3 of 3)
SUNY Buffalo - PGY300 - 166214
Lecture 6Memory MechanismsChapter 8Figure 8-26Figure 8-25 - OverviewPostsynaptic SummationFigure 8-27a - OverviewSpatial or Temporal SummationFigure 8-28 - OverviewFigure 8-28aFigure 8-28bPostsynaptic InhibitionFigure 8-27b - OverviewFigure 8
SUNY Buffalo - PGY300 - 166214
Lecture 7Sensory SystemsChapter 10Table 10-1Figure 10-1 - OverviewTable 10-2Figure 10-2Figure 10-3 - OverviewLateral InhibitionFigure 10-6Mach Bands Lateral InhibitionFigure 10-8 - OverviewFigure 10-4 - OverviewGating Theory of PainFigure 10
SUNY Buffalo - PGY300 - 166214
Lecture 8Muscle ContractionChapter 12Figure 12-1 - OverviewSpeed of ContractionFigure 12-24Table 12-3Table 12-1Figure 12-2 - OverviewThe Motor UnitFigure 12-18Muscle TaxonomyFigure 12-3a - OverviewFigure 12-3a (2 of 2)Figure 12-3bFigure 12-
SUNY Buffalo - PGY300 - 166214
Lecture 9Reflex CircuitsChapter 13Table 13-1Reflex CircuitsFigure 13-1 - OverviewMonosynaptic Reflex CircuitFigure 13-1aFigure 13-6bFigure 13-3aFigure 13-3bIntrafusal to Extrafusal Muscle CircuitFigure 13-4aDetection of Muscle StretchFigure
SUNY Buffalo - BIO - 205
Lecture 1 : BiomoleculesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the textbo
SUNY Buffalo - BIO - 205
Lecture 2 : StereochemistryFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the tex
SUNY Buffalo - BIO - 205
Lecture 3 : Weak acids and basesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from th
SUNY Buffalo - BIO - 205
Lecture 4 : ThermodynamicsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the text
SUNY Buffalo - BIO - 205
Lecture 5 : Polar / nonpolarFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the te
SUNY Buffalo - BIO - 205
Lecture 6 : Kinetics / equilibriumFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from
SUNY Buffalo - BIO - 205
Lecture 7 : Oxidation / reductionFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from t
SUNY Buffalo - BIO - 205
Lecture 8 : Amino acidsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the textboo
SUNY Buffalo - BIO - 205
Lecture 9 : Molecular evolutionFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the
SUNY Buffalo - BIO - 205
Lecture 10 : Protein folding - helicesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken f
SUNY Buffalo - BIO - 205
Lecture 11 : Protein folding - sheetsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken fr
SUNY Buffalo - BIO - 205
Lecture 12 : Hb / positive cooperativityFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken
SUNY Buffalo - BIO - 205
Lecture 13 : Hb / pH, DPG, mutationsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken fro
SUNY Buffalo - BIO - 205
Lecture 14: Enzyme mechanisms and regulationFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be t
SUNY Buffalo - BIO - 205
Lecture 15 : Enzyme kineticsRaw dataN-01N-02N-03N-04N-05N-06Simple system of 3 ksN-07N-08N-09k-cat = k2N-10Michaelis-Menten variationsN-11N-12N-13N-14N-17Effects of inhibitorsN-18N-19S-initN-20N-21
SUNY Buffalo - BIO - 205
Lecture 16 : MonosaccharidesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the te
SUNY Buffalo - BIO - 205
Lecture 17 : PolysaccharidesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the te
SUNY Buffalo - BIO - 205
Lecture 18 : Nucleic acids monomers / chainsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be t
SUNY Buffalo - BIO - 205
Lecture 19 : PolynucleotidesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken from the te
SUNY Buffalo - BIO - 205
Lecture 20 : DNA / protein relationshipsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken
SUNY Buffalo - BIO - 205
Lecture 21 : Lipids based on fatty acidsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken
SUNY Buffalo - BIO - 205
Lecture 22 : Isoprene lipids , membranesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 5thEdition, published (2009) by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures might be taken
SUNY Buffalo - BIO - 205
Lecture 23 : Introduction to metabolismFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the te
SUNY Buffalo - BIO - 205
Lecture 24 : Glycolysis 10 stepsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the textbook
SUNY Buffalo - BIO - 205
Lecture 25 : Glycolysis energeticsPlot : delta-G vs. step #N-1N-2N-2Hexokinase : couplingN-3N-4N-4N-5Paying for ATP and NADHsynthesisN-6N-6Products of steps 6and 7 combined :G3P (GAP)3PGReactant atbeginning ofstep 6Product atend ofs
SUNY Buffalo - BIO - 205
Lecture 26 : GluconeogenesisFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the textbook list
SUNY Buffalo - BIO - 205
Lecture 27 : G6P fatesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the textbooks listed be
SUNY Buffalo - BIO - 205
Lecture 28 : Hormone regulation byphosphorylation / dephosphorylationFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some
SUNY Buffalo - BIO - 205
Lecture 29 : Tissue differencesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the textbook l
SUNY Buffalo - BIO - 205
Lecture 31 : Pyruvate fatesFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the textbook liste
SUNY Buffalo - BIO - 205
Lecture 32 : Krebs cycleFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the textbooks listed
SUNY Buffalo - BIO - 205
Lecture 33 : e- transport, ATP synthesisFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the t
SUNY Buffalo - BIO - 205
Lecture 34 : FA metabolismFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken from the textbooks liste
SUNY Buffalo - BIO - 205
Lecture 35 : Cholesterol, lipoproteins,eicosanoidsFigures in this presentation appear in Biological Chemistry, Bio 205 Classnotes, 4thEdition, published by the Custom Services division of John Wiley and Sons, Inc.(Hoboken, NJ). Some figures were taken
SUNY Buffalo - BIO - 205
Lecture 36 : Interconversionsbetween sugars and fatsN-1 Sugars -&gt; fatsN-01N-02Lipids do not feed into glycolysiswould shut downKrebs cycleN-03GlyoxysomeMitochondrion(citrate)(isocitrate)Krebs cycle(-ketoglutarate)(succinyl-CoA)N-04 Amphibo
SUNY Buffalo - BIO - 205
BIO 205 : SPRING 2011I.CHEMISTRY FOUNDATIONSIntroduction : four classes of biomoleculesStereochemistry : D/L , enzyme/substrate recognitionAcids and basesThermodynamicsPolar and nonpolar moleculesKinetics and equilibriumOxidation / reductionII.
SUNY Buffalo - BIO - 203
Passive Linear Conduction of Graded PotentialsOhms Law:E=IRE = I RPlease read textbook Figure 4-9 and associated text.Length constant = = Rm/RiWhat is the effect of an increase in membrane resistance (Rm) on thelength constant?Sherwood, Klandorf &amp;
SUNY Buffalo - BIO - 203
The cardiovascular (circulatory) system and itsphysiology are significant in several regards: Evolution: multicellularity and tissue specialization,coupled with increased size, require bulk transport ofimportant materials Organism: distribution of re
SUNY Buffalo - BIO - 203
Pressure-Volume (P-V) LoopA relationship between pressure and volume of theheart chamber during the cardiac cycle.A P-V loop is: constructed graphically from the correspondingmoment-to-moment values of pressure andvolumeSherwood, Klandorf &amp; Yancey,
SUNY Buffalo - BIO - 203
Blood PressureBlood Vessel StructureM.S. Gordon, Animal Physiology: Principles and Adaptations 2/e, Fig. 6-21Sherwood, Klandorf &amp; Yancey, Animal Physiology: From Genes to Organisms, Figure 9-51BloodPressureProfileVascular Dimensions and Reynolds Nu
SUNY Buffalo - BIO - 203
Cardiovascular System RegulationThe cardiovascular system responds to many and differentchallenges on regular, irregular, and rare occasions. Someexamples are: exercise increased cardiovascular performance overall to supportenhanced oxygenation of b
SUNY Buffalo - BIO - 203
Many taxonomic lineages have independently evolvedmulticellularity, and multicellularity is not limited to eukaryotesMULTICELLULAR ORGANISMSWhy go multicellular? Larger size isolation from outside world, and protection ofgenes for the next generation
SUNY Buffalo - BIO - 203
Castrati Once a common practice in Europe and Asiato castrate young boys with exceptionalsinging voices to prevent the pubertalchanges in voice; prized in church choirs First castrato opera star: Baldassare Ferri(1610-1680), in the court of Leopold
SUNY Buffalo - BIO - 203
Evolution of Chemical Messenger SystemsYou could hardly imagine a more congested situation.Like an urban freeway on a late Friday afternoon, at anygiven moment our circulatory system is literally packed withchemical messengersan endless tide of hormon
SUNY Buffalo - BIO - 203
Life Under Arid ConditionsEland (Taurotragus oryx)Oryx (Oryx beisa)These two non-migratory African antelopes can survive indefinitelywithout drinking under natural conditions, even at air temperaturesnear 40 C.New Yorker, 04/20/2009, p. 75ElandOry
SUNY Buffalo - BIO - 203
Life in the ColdSherwood, Klandorf &amp; Yancey, Animal Physiology: From Genes to Organisms, p. 499B. Maher, Nature 458: 695-698, 2009Freezing PointsColligative PropertiesOsmotic PressureFreezing Point DepressionVapor Pressure LoweringBoiling Point El
SUNY Buffalo - BIO - 203
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SUNY Buffalo - BIO - 203
J. Travis, Science 324: 580-582, 2009J. Travis, Science 324: 580-582, 2009Chemical and Immune Defense SystemsExternal chemical defense systems toxins irritants[Barrier Function]Internal defense systems immunityo defense against pathogens (viruses
SUNY Buffalo - BIO - 203
BIO 203 Physiology (Lecture Course)Instructor:Christopher A. LoretzOffice:Tel:E-mail:647 Hochstetter Hall645-4985loretz@buffalo.eduOffice Hours:MWF 9:00-9:50 a.m.TR 8:30-9:20 a.m.&amp; by appointmentPlease read it helps. sidebars, figure legend