Preface | p. vii |
Student Manual | p. 1 |
Introduction | p. 3 |
Use of the Student Manual in Conjunction with the Book | p. 3 |
Reading Assignment for Chapter 1 | p. 3 |
About the Authors | p. 4 |
Discrete-Time Signals and Systems | p. 5 |
Learning Objectives | p. 5 |
Discrete-Time Signals | p. 6 |
Study Topics: Signals and Their Characteristics | p. 6 |
Discrete-Time Systems | p. 8 |
Study Topics: LTI Systems and Their-Properties | p. 9 |
Summary | p. 11 |
MATLAB Functions | p. 11 |
Problems | p. 12 |
The Transform | p. 16 |
Learning Objectives | p. 16 |
The Bilateral z-Transform | p. 16 |
Study Topics: Important Properties of the z-Transform | p. 17 |
Inversion of the z-Transform | p. 18 |
Representation of an LTI System in the z-Domain | p. 18 |
Solution of Difference Equations | p. 19 |
Summary | p. 21 |
MATLAB Functions | p. 21 |
Problems | p. 21 |
Discrete-Time Fourier Analysis | p. 24 |
Learning Objectives | p. 24 |
The Discrete-Time Fourier Transform | p. 25 |
Study Topics: Definitions and Properties | p. 25 |
The Frequency-Domain Representation of LTI Systems | p. 27 |
Study Topics: The Transfer Function of LTI Systems | p. 27 |
Sampling and Reconstruction of Analog Signals | p. 29 |
Study Topics: Sampling and Reconstruction | p. 29 |
Summary | p. 32 |
MATLAB Functions | p. 32 |
Problems | p. 32 |
The Discrete Fourier Transform | p. 35 |
Learning Objectives | p. 35 |
The Discrete Fourier Series | p. 36 |
Frequency Sampling and Reconstruction | p. 37 |
The Discrete Fourier Transform and Its Properties | p. 38 |
Study Topics: Important Properties of the DFT | p. 39 |
Linear Convolution Using the DFT | p. 41 |
The Fast Fourier Transform (FFT) Algorithms | p. 41 |
Summary | p. 42 |
MATLAB Functions | p. 42 |
Problems | p. 43 |
Realization of Digital Filters | p. 50 |
Learning Objectives | p. 50 |
IIR Filter Structures | p. 51 |
Study Topics: IIR Filter Realizations | p. 51 |
FIR Filter Structures | p. 54 |
Study Topics: FIR Filter Realizations | p. 54 |
Lattice Filter Structures | p. 56 |
Study Topics: Lattice and Lattice-Ladder Filter Realizations | p. 58 |
Summary | p. 59 |
MATLAB Functions | p. 59 |
Problems | p. 60 |
FIR Filter Design | p. 64 |
Learning Objectives | p. 64 |
Specifications and Properties of FIR Filters | p. 65 |
Study Topics: Filter specifications and FIR Filter Types | p. 65 |
Window Design Technique | p. 68 |
Study Topics: Window Design Method and Window Types | p. 68 |
Frequency-Sampling Design Techniques | p. 72 |
Study Topics: Sampling the Frequency Response | p. 72 |
Optimal Equiripple Design Technique | p. 73 |
Study Topics: Design Procedure | p. 73 |
Summary | p. 75 |
MATLAB Functions | p. 75 |
Problems | p. 76 |
IIR Filter Design | p. 82 |
Learning Objectives | p. 82 |
Design of Analog Lowpass Filters | p. 83 |
Study Topics: Characteristics and Parameters of Butterworth, Chebyshev, and Elliptic Filters | p. 83 |
Analog-to-Digital Filter Transformations | p. 88 |
Study Topics: Filter Transformations | p. 88 |
Frequency-Band Transformations | p. 90 |
Study Topics: Frequency-Band Transformations for Digital Filters | p. 90 |
Summary | p. 91 |
MATLAB Functions | p. 91 |
Problems | p. 93 |
Solutions to Problems | p. 97 |
Discrete-Time Signals and Systems | p. 99 |
The z-transform | p. 118 |
Discrete-Time Fourier Transform | p. 135 |
The Discrete Fourier Transform | p. 151 |
Digital-Filter Structures | p. 180 |
FIR Filter Design | p. 195 |
IIR Filter Design | p. 229 |
Index | p. 255 |
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