| Preface | p. v |
| Introduction | p. 1 |
| Filtering Concepts | p. 1 |
| Classes of Filters | p. 4 |
| Applications of Analog Filters | p. 8 |
| Historical Perspective | p. 15 |
| A Note on MATLAB | p. 16 |
| Overview of the Text | p. 17 |
| Chapter 1 Problems | p. 19 |
| Approximation Design and Analysis | |
| Analog Filter Design and Analysis Concepts | p. 23 |
| Time, Frequency, and s Domains | p. 24 |
| The Paley-Wiener Theorem | p. 34 |
| Time-Bandwidth Products | p. 40 |
| Frequency Band Definitions | p. 51 |
| Filter Selectivity and Shaping Factor | p. 52 |
| Imposed Constraints | p. 54 |
| Analog Filter Design Theorem | p. 58 |
| First-Order Transfer Functions | p. 66 |
| Second-Order Transfer Functions | p. 70 |
| Transfer Functions with Orders Greater than Two | p. 76 |
| Minimum-Phase Transfer Functions | p. 77 |
| All-Pass Transfer Functions | p. 78 |
| Time-Domain Response | p. 80 |
| Phase Delay and Group Delay | p. 81 |
| Hilbert Transform Relations | p. 88 |
| Frequency Scaling | p. 98 |
| Chapter 2 Problems | p. 102 |
| Butterworth Filters | p. 113 |
| Maximally-Flat Magnitude | p. 113 |
| Filter Selectivity and Shaping Factor | p. 115 |
| Determination of Order | p. 117 |
| Pole Locations | p. 119 |
| Phase Response, Phase Delay, and Group Delay | p. 122 |
| Time-Domain Response | p. 125 |
| Chapter 3 Problems | p. 126 |
| Chebyshev Type I Filters | p. 131 |
| Equiripple Passband Magnitude | p. 131 |
| Filter Selectivity and Shaping Factor | p. 136 |
| Determination of Order | p. 137 |
| Chebyshev Polynomials | p. 138 |
| Pole Locations | p. 140 |
| Phase Response, Phase Delay, and Group Delay | p. 143 |
| Time-Domain Response | p. 146 |
| Comparison with Butterworth Filters | p. 148 |
| Chapter 4 Problems | p. 150 |
| Chebyshev Type II Filters | p. 155 |
| Equiripple Stopband Magnitude | p. 155 |
| Filter Selectivity and Shaping Factor | p. 160 |
| Determination of Order | p. 161 |
| Inverse Chebyshev Polynomials | p. 162 |
| Location of the Poles and Zeros | p. 163 |
| Phase Response, Phase Delay, and Group Delay | p. 166 |
| Time-Domain Response | p. 169 |
| Comparison with Butterworth and Chebyshev Type I Filters | p. 170 |
| Chapter 5 Problems | p. 172 |
| Elliptic Filters | p. 177 |
| Introduction | p. 177 |
| Elliptic Integrals and Jacobian Elliptic Functions | p. 182 |
| Equiripple Passband and Stopband Magnitude | p. 188 |
| Computing [omega subscript s] Given A[subscript p], A[subscript s], N and [omega subscript p] | p. 195 |
| Filter Selectivity and Shaping Factor | p. 196 |
| Determination of Order | p. 197 |
| Chebyshev Rational Functions | p. 198 |
| Location of the Poles and Zeros | p. 200 |
| Phase Response, Phase Delay, and Group Delay | p. 202 |
| Time-Domain Response | p. 205 |
| Comparison with Preceding Filters | p. 207 |
| Chapter 6 Problems | p. 208 |
| Bessel Filters | p. 215 |
| Introduction | p. 215 |
| Maximally-Flat Group Delay | p. 217 |
| Filter Selectivity and Shaping Factor | p. 223 |
| Determination of Order | p. 224 |
| Pole Locations | p. 225 |
| Phase Response, Phase Delay, and Group Delay | p. 225 |
| Time-Domain Response | p. 228 |
| Comparison with Preceding Filters | p. 228 |
| Chapter 7 Problems | p. 230 |
| Other Filters | p. 233 |
| Transitional Filters | p. 233 |
| Gaussian Filters | p. 235 |
| Legendre Filters | p. 238 |
| Ultraspherical Filters | p. 245 |
| Papoulis Filters | p. 249 |
| Halpern Filters | p. 255 |
| Phase-Compensated Filters | p. 259 |
| Chapter 8 Problems | p. 266 |
| Frequency Transformations | p. 271 |
| Lowpass-to-Lowpass | p. 271 |
| Lowpass-to-Highpass | p. 274 |
| Lowpass-to-Bandpass | p. 287 |
| Lowpass-to-Bandstop | p. 303 |
| Chapter 9 Problems | p. 320 |
| Implementation and Analysis | |
| Passive Filters | p. 329 |
| Introduction | p. 329 |
| Continued-Fraction Ladder Implementation | p. 331 |
| Frequency Transformation Circuit Operations | p. 345 |
| Impedance Scaling | p. 348 |
| Summary and Examples of Passive Filter Implementation | p. 349 |
| Chapter 10 Problems | p. 354 |
| Active Filters | p. 359 |
| First-Order Stages | p. 360 |
| Second-Order Stages | p. 364 |
| Summary and Examples of Active Filter Implementation | p. 377 |
| Chapter 11 Problems | p. 383 |
| Appendices | |
| Introduction to MATLAB | p. 393 |
| Contents of the Accompanying Disk | p. 409 |
| The MATLAB m-File EXAMP6_1.m | p. 413 |
| The MATLAB m-File EXAMP6_2.m | p. 417 |
| The MATLAB m-File EXAMP6_6.m | p. 423 |
| References | p. 425 |
| Index | p. 433 |
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