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Design and Analysis of Analog Filters : A Signal Processing Perspective :  A Signal Processing Perspective - Larry D. Paarmann

Design and Analysis of Analog Filters : A Signal Processing Perspective

A Signal Processing Perspective

Hardcover Published: September 2007
ISBN: 9780792373735
Number Of Pages: 440

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Design and Analysis of Analog Filters: A Signal Processing Perspective includes signal processing/systems concepts as well as implementation. While most books on analog filter design briefly present the signal processing/systems concepts, and then concentrate on a variety of filter implementation methods, the present book reverses the emphasis, stressing signal processing concepts. Filter implementation topics are presented in Part II: passive filters, and operational amplifier active filters. However, greater emphasis on signal processing/systems concepts is included in Part I of the book than is typical. This emphasis makes the book very appropriate as part of a signal processing curriculum. Useful Aspects of Design and Analysis of Analog Filters: A Signal Processing Perspective extensive use of MATLABA(R) throughout, with many homework problems involving the use of MATLAB. over 200 figures; over 100 examples; a total of 345 homework problems, appearing at the ends of the chapters; complete and thorough presentation of design characteristics; complete catalog of design approaches. Audience: Design and Analysis of Analog Filters: A Signal Processing Perspective will interest anyone with a standard electrical engineering background, with a B.S. degree or beyond, or at the senior level. While designed as a textbook, its numerous practical examples make it useful as a reference for practicing engineers and scientists, particularly those working in systems design or communications. MATLABA(R) Examples: A valuable relationship between analog filter theory and analysis and modern digital signal processing is made by the application of MATLAB to both the design and analysis of analog filters. Throughout the book, computer-oriented problems are assigned. The disk that accompanies this book contains MATLAB functions and m-files written specifically for this book. The MATLAB functions on the disk extend basic MATLAB capabilities in terms of the design and analysis of analog filters. The m-files are used in a number of examples in the book. They are included on the disk as an instructional aid.

Prefacep. v
Introductionp. 1
Filtering Conceptsp. 1
Classes of Filtersp. 4
Applications of Analog Filtersp. 8
Historical Perspectivep. 15
A Note on MATLABp. 16
Overview of the Textp. 17
Chapter 1 Problemsp. 19
Approximation Design and Analysis
Analog Filter Design and Analysis Conceptsp. 23
Time, Frequency, and s Domainsp. 24
The Paley-Wiener Theoremp. 34
Time-Bandwidth Productsp. 40
Frequency Band Definitionsp. 51
Filter Selectivity and Shaping Factorp. 52
Imposed Constraintsp. 54
Analog Filter Design Theoremp. 58
First-Order Transfer Functionsp. 66
Second-Order Transfer Functionsp. 70
Transfer Functions with Orders Greater than Twop. 76
Minimum-Phase Transfer Functionsp. 77
All-Pass Transfer Functionsp. 78
Time-Domain Responsep. 80
Phase Delay and Group Delayp. 81
Hilbert Transform Relationsp. 88
Frequency Scalingp. 98
Chapter 2 Problemsp. 102
Butterworth Filtersp. 113
Maximally-Flat Magnitudep. 113
Filter Selectivity and Shaping Factorp. 115
Determination of Orderp. 117
Pole Locationsp. 119
Phase Response, Phase Delay, and Group Delayp. 122
Time-Domain Responsep. 125
Chapter 3 Problemsp. 126
Chebyshev Type I Filtersp. 131
Equiripple Passband Magnitudep. 131
Filter Selectivity and Shaping Factorp. 136
Determination of Orderp. 137
Chebyshev Polynomialsp. 138
Pole Locationsp. 140
Phase Response, Phase Delay, and Group Delayp. 143
Time-Domain Responsep. 146
Comparison with Butterworth Filtersp. 148
Chapter 4 Problemsp. 150
Chebyshev Type II Filtersp. 155
Equiripple Stopband Magnitudep. 155
Filter Selectivity and Shaping Factorp. 160
Determination of Orderp. 161
Inverse Chebyshev Polynomialsp. 162
Location of the Poles and Zerosp. 163
Phase Response, Phase Delay, and Group Delayp. 166
Time-Domain Responsep. 169
Comparison with Butterworth and Chebyshev Type I Filtersp. 170
Chapter 5 Problemsp. 172
Elliptic Filtersp. 177
Introductionp. 177
Elliptic Integrals and Jacobian Elliptic Functionsp. 182
Equiripple Passband and Stopband Magnitudep. 188
Computing [omega subscript s] Given A[subscript p], A[subscript s], N and [omega subscript p]p. 195
Filter Selectivity and Shaping Factorp. 196
Determination of Orderp. 197
Chebyshev Rational Functionsp. 198
Location of the Poles and Zerosp. 200
Phase Response, Phase Delay, and Group Delayp. 202
Time-Domain Responsep. 205
Comparison with Preceding Filtersp. 207
Chapter 6 Problemsp. 208
Bessel Filtersp. 215
Introductionp. 215
Maximally-Flat Group Delayp. 217
Filter Selectivity and Shaping Factorp. 223
Determination of Orderp. 224
Pole Locationsp. 225
Phase Response, Phase Delay, and Group Delayp. 225
Time-Domain Responsep. 228
Comparison with Preceding Filtersp. 228
Chapter 7 Problemsp. 230
Other Filtersp. 233
Transitional Filtersp. 233
Gaussian Filtersp. 235
Legendre Filtersp. 238
Ultraspherical Filtersp. 245
Papoulis Filtersp. 249
Halpern Filtersp. 255
Phase-Compensated Filtersp. 259
Chapter 8 Problemsp. 266
Frequency Transformationsp. 271
Lowpass-to-Lowpassp. 271
Lowpass-to-Highpassp. 274
Lowpass-to-Bandpassp. 287
Lowpass-to-Bandstopp. 303
Chapter 9 Problemsp. 320
Implementation and Analysis
Passive Filtersp. 329
Introductionp. 329
Continued-Fraction Ladder Implementationp. 331
Frequency Transformation Circuit Operationsp. 345
Impedance Scalingp. 348
Summary and Examples of Passive Filter Implementationp. 349
Chapter 10 Problemsp. 354
Active Filtersp. 359
First-Order Stagesp. 360
Second-Order Stagesp. 364
Summary and Examples of Active Filter Implementationp. 377
Chapter 11 Problemsp. 383
Appendices
Introduction to MATLABp. 393
Contents of the Accompanying Diskp. 409
The MATLAB m-File EXAMP6_1.mp. 413
The MATLAB m-File EXAMP6_2.mp. 417
The MATLAB m-File EXAMP6_6.mp. 423
Referencesp. 425
Indexp. 433
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780792373735
ISBN-10: 0792373731
Series: The Springer International Series in Engineering and Computer Science
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 440
Published: September 2007
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.72
Weight (kg): 0.77