Digital Signal Processing System Analysis and Design...
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Contents Preface page xvi Introduction 1 1 Discrete-time signals and systems 5 1.1 Introduction 5 1.2 Discrete-time signals 6 1.3 Discrete-time systems 10 1.3.1 Linearity 10 1.3.2 Time invariance 11 1.3.3 Causality 11 1.3.4 Impulse response and convolution sums 14 1.3.5 Stability 16 1.4 Difference equations and time-domain response 17 1.4.1 Recursive × nonrecursive systems 21 1.5 Solving difference equations 22 1.5.1 Computing impulse responses 31 1.6 Sampling of continuous-time signals 33 1.6.1 Basic principles 34 1.6.2 Sampling theorem 34 1.7 Random signals 53 1.7.1 Random variable 54 1.7.2 Random processes 58 1.7.3 Filtering a random signal 60 1.8 Do-it-yourself: discrete-time signals and systems 62 1.9 Discrete-time signals and systems with Matlab 67 1.10 Summary 68 1.11 Exercises 68 2 The z and Fourier transforms 75 2.1 Introduction 75 2.2 Definition of the z transform 76 2.3 Inverse z transform 83 2.3.1 Computation based on residue theorem 84 2.3.2 Computation based on partial-fraction expansions 87 2.3.3 Computation based on polynomial division 90
Digital Signal Processing System Analysis and Design ...gsundar.weebly.com/uploads/5/4/5/6/54560163/dsp-ebook.pdf · 2.13 The z and Fourier transforms with Matlab 135 ... 3.5 Fast
