Digital Signal Processing P1

... BruceW.BomarIntroduction•NumberRepresentation•Fixed-PointQuantizationErrors•Floating-PointQuan-tizationErrors•RoundoffNoise•LimitCycles•OverflowOscillations•CoefficientQuantizationError•RealizationConsiderationsTHESTUDYOF“SIGNALSANDSYSTEMS”hasformedacornerstoneforthedevelopmentofdigitalsignalprocessingandiscrucialforallofthetopicsdiscussedinthisHandbook.Whilethereaderisassumedtobefamiliarwiththebasicsofsignalsandsystems,asmallportionisreviewedinthischapterwithanemphasisonthetransitionfromcontinuoustimetodiscretetime.Thereaderwishingmorebackgroundmayfindinitanyofthemanyfinetextbooksinthisarea,forexample[1]-[6].Inthechapter“FourierSeries,FourierTransforms,andtheDFT”byW.KennethJenkins,manyimportantFouriertransformconceptsincontinuousanddiscretetimearepresented.ThediscreteFouriertransform(DFT),whichformsthebackboneofmoderndigitalsignalprocessingasitsmostcommonsignalanalysistool,isalsodescribed,togetherwithanintroductiontothefastFouriertransformalgorithms.In“OrdinaryLinearDifferentialandDifferenceEquations”,theauthor,B.P.Lathi,presentsadetailedtutorialofdifferentialanddifferenceequationsandtheirsolutions.Becausetheseequationsarethemostcommonstructuresforbothimplementingandmodellingsystems,thisbackgroundisnecessaryfortheunderstandingofmanyofthelatertopicsinthisHandbook.Ofparticularinterestareanumberofsolvedexamplesthatillustratethesolutionstotheseformulations.c1999byCRCPressLLCWhile ... Manolakis, D.G.,Introduction to Digital Signal Processing , Macmillan, New York;Collier Macmillan, London, 1988.[6] Oppenheim, A.V. and Schafer, R.W.,Discrete Time Signal Processing , Prentice-Hall, ... practicalconsiderations for realizations of digital signal processing applications, with a special emphasis onfiltering.References[1] Jackson, L.B.,Signals, Systems, and Transforms,Addison-Wesley,...

... DESIGN171Introduction to Real-Time Digital Signal Processing Signals can be divided into three categories ± continuous-time (analog) signals,discrete-time signals, and digital signals. The signals that we encounter ... design and implement digital systems for processing digital signals using digital hardware. However, the analysisof such signals and systems usually uses discrete-time signals and systems for ... term `discrete-time' and `digital& apos; inter-changeably. Digital signal processing (DSP) is concerned with the digital representation of signalsand the use of digital hardware to analyze,...

... theory and problems of digital signal processing / Monson H. Hayes. p. cm. — (Schaum's outline series) Includes index. ISBN 0–07–027389–8 1. Signal processing Digital techniques—Problems, ... techniques—Problems, exercises, etc. 2. Signal processing Digital techniques—Outlines, syllabi, etc. I. Title. II. Title: Theory and problems of digital signal processing. TK5102.H39 1999 621.382'2—dc21 ... symmetric signal and a conjugate antisymmeuic signal. 1 J.6 Signal Manipulations In our study of discrete-time signals and systems we will be concerned with the manipulation of signals....

... theory and problems of digital signal processing / Monson H. Hayes. p. cm. — (Schaum's outline series) Includes index. ISBN 0–07–027389–8 1. Signal processing Digital techniques—Problems, ... techniques—Problems, exercises, etc. 2. Signal processing Digital techniques—Outlines, syllabi, etc. I. Title. II. Title: Theory and problems of digital signal processing. TK5102.H39 1999 621.382'2—dc21 ... symmetric signal and a conjugate antisymmeuic signal. 1 J.6 Signal Manipulations In our study of discrete-time signals and systems we will be concerned with the manipulation of signals....

... CRC Press LLCKaram, L.J.; McClellan, J.H.; Selesnick, E.W. & Burrus, C.S. Digital Filtering” Digital Signal Processing HandbookEd. Vijay K. Madisetti and Douglas B. WilliamsBoca Raton: ... input signal. To overcome this problem andto handle the processing of large-size signals, block-based convolution (also known as sectioned orhigh-speed convolution) is used where the input signal ... Ha() in terms of the digital H(ω):Ha() =H (Ts), || <πTs0, ||≥πTs(11.3)FIGURE 11.3: Standard system for processing analog signals using a digital (discrete-time)...

... Yagle, A.E. “Fast Matrix Computations” Digital Signal Processing HandbookEd. Vijay K. Madisetti and Douglas B. WilliamsBoca Raton: CRC Press ... the Green’sfunction (spatial impulse response) relating observed wave field or signal g(x) to unknown sourcefield or signal f(y).For example, the Green’s function for Laplace’s equation in free ... Fast algorithms for matrix multiplication using pseudo number theoretic trans-forms,IEEE Trans. Signal Process.,43: 71–76, 1995.[9] Nussbaumer, H.J.,Fast Fourier Transforms and Convolution...

... critique, Signal Processing, 6(2), 113–133, April 1984.[6] Feuer, A. and Weinstein, E., Convergence analysis of LMS filters with uncorrelated data,IEEETrans. Acoust., Speech, Signal Processing, ASSP-331, ... filter,IEEE Trans. Signal Processing, 43(12), 2863–2871, Dec. 1995.[15] Rupp, M., The behavior of LMS and NLMS algorithms in the presence of spherically invariantprocesses,IEEE Trans. Signal Processing, 41(3), ... by CRC Press LLC[22] Farden,D.C., Tracking properties of adaptivesignal processingalgorithms,IEEETrans.Acoust.,Speech, Signal Processing, ASSP-29(3), 439–446, June 1981.[23] Bitmead, R.R. and...

... desired response signal d(n) consists of a sum of a broadband signal and a nearly periodic signal, and it is desired to separate these two signals without specific knowledgeabout the signals (such ... received, the signal is synthesized using the filter coefficients and the additional signal information provided for the given block of data.When applied to speech signals, this method of signal encoding ... input signal x(n) isderived from the desired response signal asx(n) = d(n − ) ,(18.13)where  is an integer value of delay. In effect, the input signal serves as the desired response signal, and...

... stationary signals and time-invariant systems. CS signal analysis exploits two extra features not available with scalar stationary signal processing, namely:(1) ability to separate signals on ... Giannakis, G.B. “Cyclostationary Signal Analysis” Digital Signal Processing HandbookEd. Vijay K. Madisetti and Douglas B. WilliamsBoca Raton: CRC ... Application AreasCS Signal Extraction•Identification and Modeling17.6 Concluding RemarksAcknowledgmentsReferences17.1 IntroductionProcesses encountered in statistical signal processing, communications,...

... models of stationary random processes, whether signal or noise, have been foundto be useful in a wide variety of signal processing tasks such as signal detection, estimation, filtering,and classification, ... statistics,IEEETrans. Signal Process.,SP-42: 1728-1736, July, 1994.[6] Tugnait, J.K., Detection of non-Gaussian signals using integrated polyspectrum,IEEE Trans. Signal Process.,SP-42: ... Nov., 1994. (Corrections inIEEE Trans. Signal Process.,SP-43. Nov., 1995.)[7] Tugnait, J.K., Testing forlinearity of noisystationary signals,IEEE Trans .Signal Process.,SP-42:2742-2748, Oct.,...