Intro to Digital Signal Processing

Intro to Digital Signal Processing

Table Of Content
 

Preface	p. xi
Acknowledgements	p. xii
The basics	p. 1
Chapter preview	p. 1
Analogue signal processing	p. 1
An alternative approach	p. 2
The complete DSP system	p. 3
Recap	p. 7
Digital data processing	p. 7
The running average filter	p. 7
Representation of processing systems	p. 9
Self-assessment test	p. 10
Feedback (or recursive) filters	p. 10
Self-assessment test	p. 12
Chapter summary	p. 13
Problems	p. 13
Discrete signals and systems	p. 16
Chapter preview	p. 16
Signal types	p. 16
The representation of discrete signals	p. 17
Self-assessment test	p. 21
Recap	p. 21
The z-transform	p. 22
z-Transform tables	p. 24
Self-assessment test	p. 24
The transfer function for a discrete system	p. 24
Self-assessment test	p. 28
MATLAB and signals and systems	p. 29
Recap	p. 30
Digital signal processors and the z-domain	p. 31
FIR filters and the z-domain	p. 33
IIR filters and the z-domain	p. 34
Self-assessment test	p. 38
Recap	p. 39
Chapter summary	p. 39
Problems	p. 40
The z-plane	p. 41
Chapter preview	p. 41
Poles, zeros and the s-plane	p. 41
Pole-zero diagrams for continuous signals	p. 42
Self-assessment test	p. 45
Recap	p. 45
From the s-plane to the z-plane	p. 46
Stability and the z-plane	p. 47
Discrete signals and the z-plane	p. 49
Zeros	p. 52
The Nyquist frequency	p. 54
Self-assessment test	p. 55
The relationship between the Laplace and z-transform	p. 55
Recap	p. 57
The frequency response of continuous systems	p. 58
Self-assessment test	p. 61
The frequency response of discrete systems	p. 62
Unstable systems	p. 67
Self-assessment test	p. 68
Recap	p. 68
Chapter summary	p. 69
Problems	p. 70
The design of IIR filters	p. 71
Chapter preview	p. 71
Filter basics	p. 71
FIR and IIR filters	p. 73
The direct design of IIR filters	p. 73
Self-assessment test	p. 78
Recap	p. 79
The design of IIR filters via analogue filters	p. 79
The bilinear transform	p. 79
Self-assessment test	p. 84
The impulse-invariant method	p. 84
Self-assessment test	p. 89
Pole-zero mapping	p. 89
Self-assessment test	p. 91
MATLAB and s-to-z transformations	p. 92
Classic analogue filters	p. 92
Frequency transformation in the s-domain	p. 94
Frequency transformation in the z-domain	p. 95
Self-assessment test	p. 97
Recap	p. 97
Practical realization of IIR filters	p. 98
Chapter summary	p. 100
Problems	p. 100
The design of FIR filters	p. 102
Chapter preview	p. 102
Introduction	p. 102
Phase-linearity and FIR filters	p. 102
Running average filters	p. 106
The Fourier transform and the inverse Fourier transform	p. 107
The design of FIR filters using the Fourier transform or 'windowing' method	p. 110
Windowing and the Gibbs phenomenon	p. 116
Highpass, bandpass and bandstop filters	p. 118
Self-assessment test	p. 118
Recap	p. 119
The discrete Fourier transform and its inverse	p. 119
The design of FIR filters using the 'frequency sampling' method	p. 124
Self-assessment test	p. 128
Recap	p. 128
The fast Fourier transform and its inverse	p. 128
MATLAB and the FFT	p. 132
Recap	p. 134
A final word of warning	p. 134
Chapter summary	p. 135
Problems	p. 135
Answers to self-assessment tests and problems	p. 137
References and bibliography	p. 153
Some useful Laplace and z-transforms	p. 155
Frequency transformations in the s- and z - domains	p. 156
Index	p. 159

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