Digital Filter Designer's Handbook

Digital Filter Designer's Handbook

by C. Britton Rorabaugh

Hardcover(2nd Edition)

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Product Details

ISBN-13: 9780070538061
Publisher: McGraw-Hill Companies, The
Publication date: 03/01/1998
Edition description: 2nd Edition
Pages: 479
Product dimensions: 7.65(w) x 9.59(h) x 1.66(d)

Table of Contents

List of Programs xi(4)
Preface xv
Chapter 1. Signals and Spectra
1(22)
1.1 Mathematical Modeling of Signals
1(6)
1.2 Frequency Spectra of Periodic Signals: Fourier Series
7(6)
1.3 Transient Signals
13(4)
1.4 Fourier Transform
17(5)
1.5 Spectral Density
22(1)
Chapter 2. Noise
23(20)
2.1 Noise Processes
23(2)
2.2 Power Spectral Density of Noise Processes
25(1)
2.3 White Noise
25(2)
2.4 Noise Equivalent Bandwidth
27(1)
2.5 Uniform Distribution
28(3)
2.6 Gaussian Distribution
31(3)
2.7 Simulation of White Gaussian Noise
34(9)
Chapter 3. Filter Fundamentals
43(50)
3.1 Systems
43(4)
3.2 Characterization of Linear Systems
47(2)
3.3 Laplace Transform
49(2)
3.4 Properties of the Laplace Transform
51(2)
3.5 Transfer Functions
53(2)
3.6 Heaviside Expansion
55(1)
3.7 Poles and Zeros
56(3)
3.8 Magnitude, Phase, and Delay Responses
59(2)
3.9 Filter Fundamentals
61(7)
3.10 Linear Filtering of Noise Processes
68(1)
3.11 Computer Representation of Polynomials and Transfer Functions
69(2)
3.12 Computer Simulation of Analog Systems
71(22)
Chapter 4. Butterworth Filters
93(16)
4.1 Transfer Function
93(2)
4.2 Frequency Response
95(3)
4.3 Determination of Minimum Order for Butterworth Filters
98(1)
4.4 Impluse Respones of Butterworth Filters
98(3)
4.5 Step Response of Butterworth Filters
101(8)
Chapter 5. Chebyshev Filters
109(14)
5.1 Transfer Function
109(5)
5.2 Frequency Response
114(4)
5.3 Impulse Response
118(1)
5.4 Step Response
119(4)
Chapter 6. Elliptical Filters
123(16)
6.1 Parameter Specification
123(2)
6.2 Normalized-Transfer Function
125(4)
6.3 Denormalized-Transfer Function
129(10)
Chapter 7. Bessel Filters
139(8)
7.1 Transfer Function
139(2)
7.2 Frequency Response
141(1)
7.3 Group Delay
142(5)
Chapter 8. Fundamentals of Digital Signal Processing
147(30)
8.1 Digitization
147(10)
8.2 Discrete-Time Fourier Transform
157(3)
8.3 Discrete-Time Systems
160(2)
8.4 Diagramming Discrete-Time Systems
162(4)
8.5 Quantization
166(11)
Chapter 9. Discrete Fourier Transform (DFT)
177(10)
9.1 Discrete Fourier Transform
177(2)
9.2 Properties of the DFT
179(2)
9.3 Implementing the DFT
181(1)
9.4 Applying the DFT
181(6)
Chapter 10. The z Transform
187(10)
10.1 Region of Convergence
187(3)
10.2 Relationship between the Laplace and z Transforms
190(1)
10.3 System Functions
191(1)
10.4 Common z-Transform Pairs and Properties
192(2)
10.5 Inverse z Transform
194(1)
10.6 Inverse z Transform via Partial Fraction Expansion
194(3)
Chapter 11. Fast Fourier Transforms
197(22)
11.1 Computational Complexity of the DFT
197(1)
11.2 Decimation-in-Time Algorithms
197(8)
11.3 Decimation-in-Frequency Algorithms
205(5)
11.4 Prime Factor Algorithms
210(9)
Chapter 12. Introduction to Digital Filter Design
219(4)
12.1 FIR Filters
219(2)
12.2 IIR Filters
221(2)
Chapter 13. FIR Filter Design: Fundamentals
223(26)
13.1 Introduction to FIR Filters
223(1)
13.2 Evaluating the Frequency Response of FIR Filters
224(3)
13.3 Linear Phase FIR Filters
227(4)
13.4 Structures for FIR Realizations
231(18)
Chapter 14. FIR Filter Design: Window Method
249(48)
14.1 Basis of the Fourier Series Method
249(7)
14.2 Rectangular Window
256(8)
14.3 Tringular Window
264(3)
14.4 Window Software
267(3)
14.5 Applying Windows to Fourier Series Filters
270(1)
14.6 von Hann Window
271(4)
14.7 Hamming Window
275(3)
14.8 Dolph-Chebyshev Window
278(19)
Chapter 15. FIR Filter Design: Frequency Sampling Method
297(34)
15.1 Introduction
297(2)
15.2 Odd N versus Even N
299(5)
15.3 Design Formulas
304(1)
15.4 Frequency Sampling Design with Transition-Band Samples
304(4)
15.5 Optimization with Two Transition-Band Samples
308(6)
15.6 Optimization with Three Transition-Band Samples
314(17)
Chapter 16. FIR Filter Design: Remez Exchange Method
331(26)
16.1 Chebyshev Approximation
331(2)
16.2 Strategy of the Remez Exchange Method
333(4)
16.3 Evaluating the Error
337(1)
16.4 Selecting Candidate Extremal Frequencies
338(3)
16.5 Obtaining the Impulse Response
341(1)
16.6 Using the Remez Exchange Method
342(1)
16.7 Extension of the Basic Method
343(14)
Chapter 17. FIR Filter Design: Practical Case Studies
357(24)
17.1 Assessing the Impacts of Quantization and Finite-Precision Arithmetic
357(3)
17.2 Quantized Coefficients in the Window Method of FIR Design
360(10)
17.3 Quantized Coefficients in the Frequency Sampling Method of FIR Design
370(11)
Chapter 18. IIR Filter Design: Introduction
381(12)
18.1 Frequency Response of IIR Filters
382(1)
18.2 Structures for IIR Realizations
382(11)
Chapter 19. IIR Filter Design: Invariance and Pole-Zero Placement Methods
393(14)
19.1 Impulse Invariance
393(6)
19.2 Step Invariance
399(1)
19.3 Matched z Transformation
400(7)
Chapter 20. IIR Filter Design: Bilinear Transformation
407(18)
20.1 Bilinear Transformation
407(2)
20.2 Factored Form of the Bilinear Transformation
409(2)
20.3 Properties of the Bilinear Transformation
411(3)
20.4 Programming the Bilinear Transformation
414(2)
20.5 Computer Examples
416(9)
Chatper 21. IIR Filter Design: Practical Case Studies
425(14)
21.1 Assessing the Impacts of Quantization and Finite-Precision Arithmetic
425(2)
21.2 Quantization in IIR Filters Obtained via Bilinear Transformation
427(12)
Chapter 22. Filters for Multirate Signal Processing
439(8)
22.1 Multirate Signal Processing: Basic Concepts
439(2)
22.2 Structures for Decimators and Interpolators
441(6)
Appendix A. Mathematical Review 447(18)
A.1 Exponentials and Logarithms 447(2)
A.2 Complex Numbers 449(3)
A.3 Trigonometry 452(6)
A.4 Derivatives 458(1)
A.5 Integration 459(2)
A.6 Dirac Delta Function 461(4)
Appendix B. Probability and Random Variables 465(10)
B.1 Randomness and Probability 465(1)
B.2 Bernoulli Trials 466(1)
B.3 Random Variables 466(2)
B.4 Moments of a Random Variable 468(2)
B.5 Relationships between Random Variables 470(1)
B.6 Correlation and Covariance 471(1)
B.7 Probability Densities for Functions of a Random Variable 472(3)
Bibliography 475(2)
Index 477

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