DSP for MATLAB and LabVIEW, Volume III: Digital Filter Design

Synthesis Lectures on Signal Processing......Page 3
Contents......Page 11
The Four Volumes of the Series......Page 17
Origin and Evolution of the Series......Page 18
Software for Use with this Book......Page 21
Effect of Filter Length......Page 22
Effect of Windowing......Page 23
Linear Phase......Page 25
Impulse Response Requirement......Page 26
Four Basic Categories of FIR Impulse Response for Linear Phase......Page 27
Zero Location in Linear Phase Filters......Page 29
Linear Phase FIR Frequency Content and Response......Page 32
Basic Scheme......Page 36
Three Design Methods......Page 37
The Comb and Moving Average Filters......Page 39
Cascade Form......Page 43
Frequency Sampling......Page 46
Exercises......Page 50
Software for Use with this Book......Page 59
Filter Specification......Page 60
FIR Design Via Windowed Ideal Lowpass Filter......Page 63
Windows......Page 64
Net Frequency Response......Page 67
Highpass, Bandpass, and Bandstop Filters from Lowpass Filters......Page 71
Improving Stopband Attenuation......Page 75
Meeting Design Specifications......Page 78
FIR Design Via Frequency Sampling......Page 80
Using the Inverse DFT......Page 85
Using Cosine/Sine Summation Formulas......Page 90
Improving Stopband Attenuation......Page 93
Filters Other Than Lowpass......Page 98
Hilbert Transformers......Page 100
Differentiators......Page 110
Equiripple Design......Page 112
Design Goal......Page 113
Alternation Theorem......Page 115
A Common Design Problem for All Linear Phase Filters......Page 116
Weighted Error Function......Page 118
Remez Exchange Algorithm......Page 119
Exercises......Page 127
Definition......Page 143
Convergence......Page 144
Relation to Fourier Transform......Page 145
General Observations......Page 146
Notation......Page 148
System Function and Properties......Page 149
Computed Frequency Response......Page 151
Design by Order and Cutoff Frequency......Page 153
Design by Standard Parameters......Page 159
Lowpass Analog Chebyshev Type-I Filters......Page 160
Design by Order, Cutoff Frequency, and Epsilon......Page 161
Design by Standard Parameters......Page 166
Design by Order, Cutoff Frequency, and Epsilon......Page 168
Design by Standard Parameters......Page 170
Analog Lowpass Elliptic Filters......Page 172
Design by Standard Parameters......Page 173
Lowpass to Lowpass......Page 175
Lowpass to Highpass......Page 178
Transformation Via Convolution......Page 180
Lowpass to Bandpass......Page 183
Lowpass to Bandstop (Notch)......Page 185
Impulse Invariance......Page 187
The Bilinear Transform......Page 193
MathScript Filter Design Functions......Page 205
Prony's Method......Page 208
Exercises......Page 214
File Types and Naming Conventions......Page 227
Single-line function calls......Page 228
Multi-line m-code examples......Page 229
How to Successfully Copy-and-Paste M-code......Page 230
What You Need with MATLAB and LabVIEW......Page 231
Inner Product......Page 233
Matrix Multiplied by a Vector or Matrix......Page 234
Matrix Inverse and Pseudo-Inverse......Page 235
Odd Length, Anti-Symmetric (Type III)......Page 237
References......Page 238
Biography......Page 239