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9780134964560

Signals and Systems Continuous and Discrete

by ; ;
  • ISBN13:

    9780134964560

  • ISBN10:

    013496456X

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 1998-02-10
  • Publisher: Pearson

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Summary

A market leader in previous editions, this book continues to offer a complete survey of continuous and discrete linear systems.It utilizes a systems approach to solving practical engineering problems, rather than using the framework of traditional circuit theory. Numerous examples from circuit theory appear throughout, however, to illustrate the various systems techniques introduced. TheFourth Editionhas been thoroughly updated to effectively integrate the use of computers and to accurately reflect the latest theoretical advances.

Table of Contents

1 Signal and System Modeling Concepts
1(47)
1-1 Introduction
1(1)
1-2 Examples of Systems
2(6)
1-3 Signal Models
8(20)
Examples of Deterministic Signals
8(1)
Continuous-Time Versus Discrete-Time Signals
8(2)
Periodic and Aperiodic Signals
10(2)
Phasor Signals and Spectra
12(5)
Singularity Functions
17(11)
1-4 Energy and Power Signals
28(2)
Average Power of a Periodic Signal
30(1)
1-5 Energy and Power Spectral Densities
30(2)
1-6 MATLAB in Signal Analysis
32(3)
Summary
35(2)
Further Reading
37(1)
Problems
37(9)
Computer Exercises
46(2)
2 System Modeling and Analysis in the Time Domain
48(53)
2-1 Introduction
48(1)
2-2 System Modeling Concepts
48(8)
Some Terminology
48(1)
Representations for Systems
49(4)
Properties of Systems
53(3)
2-3 The Superposition Integral for Fixed, Linear Systems
56(5)
2-4 Examples Illustrating Evaluation of the Convolution Integral
61(6)
2-5 Impulse Response of a Fixed, Linear System
67(3)
2-6 Superposition Integrals in Terms of Step Response
70(4)
2-7 Frequency Response Function of a Fixed, Linear System
74(3)
2-8 Stability of Linear Systems
77(1)
2-9 System Modeling and Simulation
78(9)
Summary
87(3)
Further Reading
90(1)
Problems
91(8)
Computer Exercises
99(2)
3 The Fourier Series
101(49)
3-1 Introduction
101(1)
3-2 Trigonometric Series
101(2)
3-3 Obtaining Trigonometric Fourier Series Representations for Periodic Signals
103(9)
3-4 The Complex Exponential Fourier Series
112(7)
3-5 Symmetry Properties of the Fourier Series Coefficients
119(1)
3-6 Parseval's Theorem
120(4)
3-7 Line Spectra
124(2)
3-8 Steady-State Response of a Fixed, Linear System to a Periodic Input: Distortionless Systems
126(8)
*3-9 Rate of Convergence of Fourier Spectra
134(2)
*3-10 Fourier Series and Signal Spaces
136(4)
Summary
140(2)
Further Reading
142(1)
Problems
143(6)
Computer Exercises
149(1)
4 The Fourier Transform and Its Applications
150(55)
4-1 Introduction
150(1)
4-2 The Fourier Integral
150(3)
4-3 Energy Spectral Density
153(4)
4-4 Fourier Transforms in the Limit
157(1)
4-5 Fourier Transform Theorems
157(14)
4-6 System Analysis with the Fourier Transform
171(4)
4-7 Steady-State System Response to Sinusoidal Inputs by Means of the Fourier Transform
175(3)
4-8 Ideal Filters
178(1)
4-9 Bandwith and Rise Time
178(3)
*4-10 Window Functions and the Gibbs Phenomenon
181(5)
*4-11 Fourier Transforms of Periodic Signals
186(2)
*4-12 Applications of the Hilbert Transform
188(1)
Analytic Signals
188(1)
Causality
188(1)
*4-13 The Discrete Fourier Transform
189(4)
Summary
193(1)
Further Reading
194(1)
Problems
194(10)
Computer Exercise
204(1)
5 The Laplace Transform
205(44)
5-1 Introduction
205(1)
5-2 Examples of Evaluating Laplace Transforms
206(3)
5-3 Some Laplace Transform Theorems
209(11)
5-4 Inversion of Rational Functions
220(12)
*5-5 The Inversion Integral and Its Use in Obtaining Inverse Laplace Transforms
232(3)
*5-6 The Double-Sided Laplace Transform
235(3)
Summary
238(2)
Further Reading
240(1)
Problems
240(7)
Computer Exercises
247(2)
6 Applications of the Laplace Transform
249(63)
6-1 Introduction
249(1)
6-2 Network Analysis Using the Laplace Transform
249(13)
Laplace Transform Equivalent Circuit Elements
249(4)
Mutual Inductance
253(4)
Network Theorems in Terms of the Laplace Transform
257(5)
6-3 Loop and Node Analyses of Circuits by Means of the Laplace Transform
262(6)
Loop Analysis
262(4)
Nodal Analysis
266(2)
6-4 Transfer Functions
268(6)
Definition of a Transfer Function
268(1)
Properties of Transfer Function for Linear, Lumped Stable Systems
269(1)
Components of System Response
270(4)
Asymptotic and Marginal Stability
274(1)
6-5 Stability and the Routh Array
274(5)
6-6 Bode Plots
279(8)
6-7 Block Diagrams
287(7)
*6-8 Operational Amplifiers as Elements in Feedback Circuits
294(2)
Summary
296(2)
Further Reading
298(1)
Problems
298(13)
Computer Exercises
311(1)
7 State-Variable Techniques
312(38)
7-1 Introduction
312(1)
7-2 State-Variable Concepts
312(1)
7-3 Form of the State Equations
313(3)
7-4 Time-Domain Solution of the State Equations
316(3)
7-5 Frequency-Domain Solution of the State Equations
319(2)
7-6 Finding the State Transition Matrix
321(9)
7-7 State Equations for Electrical Networks
330(4)
7-8 State Equations from Transfer Functions
334(5)
*7-9 State Equations for Discrete-Time Systems
339(4)
Summary
343(1)
Further Reading
344(1)
Problems
344(5)
Computer Exercises
349(1)
8 Discrete-Time Signals and Systems
350(65)
8-1 Introduction
350(1)
8-2 Analog-to-Digital Conversion
350(17)
Sampling
351(3)
Impulse-Train Sampling Model
354(1)
Data Reconstruction
355(8)
Quantizing and Encoding
363(4)
8-3 The z-Transform
367(15)
Definition of the z-Transform
367(6)
Linearity
373(1)
Initial Value and Final Value Theorems
374(1)
Inverse z-Transform
375(5)
Delay Operator
380(2)
8-4 Difference Equations and Discrete-Time System
382(13)
Properties of Systems
382(6)
Difference Equations
388(2)
Steady-State Frequency Response of a Linear Discrete-Time System
390(3)
Frequency Response at f = 0 and f = 0.5fs
393(2)
8-5 Example of a Discrete-Time System
395(1)
*8-6 Inverse z-Transformation by the Inversion Integral
396(2)
Summary
398(3)
Further Reading
401(1)
Problems
401(11)
Computer Exercises
412(3)
9 Analysis and Design of Digital Filters
415(71)
9-1 Introduction
415(1)
9-2 Structures of Digital Processors
415(9)
Direct-Form Realizations
415(1)
Cascade and Parallel Realizations
416(8)
9-3 Discrete-Time Integration
424(5)
Rectangular Integration
424(1)
Trapezoidal Integration
425(4)
9-4 Infinite Impulse Response (IIR) Filter Design
429(19)
Synthesis in the Time Domain--Invariant Design
429(9)
Design in the Frequency Domain--The Bilinear z-Transform
438(7)
Bilinear z-Transform Bandpass Filters
445(3)
9-5 Design of Finite-Duration Impulse Response (FIR) Digital Filters
448(16)
FIR Filters--A General Design Technique
452(1)
Causal Filters
453(2)
Design Summary
455(9)
9-6 Computer-Aided Design of Digital Filters
464(5)
Summary
469(2)
Further Reading
471(1)
Problems
472(11)
Computer Exercises
483(3)
10 The Discrete Fourier Transform and Fast Fourier Transform Algorithms
486(55)
10-1 Introduction
486(1)
10-2 The DFT Compared with the Exponential Fourier Series: Error Sources in the DFT
486(6)
10-3 Examples Illustrating the Computation of the DFT
492(6)
10-4 Mathematical Derivation of the FFT
498(7)
Decimation-in-Time FFT Algorithm
498(3)
Decimation-in-Frequency FFT Algorithm
501(4)
10-5 Properties of the DFT
505(6)
10-6 Applications of the FFT
511(10)
Filtering
511(3)
Spectrum Analyzers
514(1)
Convolution
514(3)
Energy Spectral Density and Autocorrelation Functions
517(3)
System Identification
520(1)
Signal Restoration or Deconvolution
521(1)
10-7 Windows and Their Properties
521(5)
10-8 Selection of Parameters for Signal Processing with the DFT
526(2)
*10-9 The Chirp-z-Transform Algorithm
528(6)
Summary
534(1)
Further Reading
535(1)
Problems
535(5)
Computer Exercises
540(1)
Appendix A Comments and Hints on Using MATLAB
541(5)
A-1 Introduction
541(1)
A-2 Window and File Management
541(1)
A-3 Getting Help
542(3)
A-4 Programming Hints
545(1)
References
545(1)
Appendix B Systematic Procedures for Writing Governing Equations for Lumped Systems
546(20)
B-1 Introduction
546(1)
B-2 Lumped, Linear Components and Their Describing Equations
546(5)
B-3 System Graphs
551(6)
Node and Circuit Postulates
552(3)
Topology of System Graphs
555(2)
B-4 Choosing Independent Equations for a System
557(4)
B-5 Writing State Equations for Lumped Linear Systems Using Graph Theory
561(3)
Further Reading
564(1)
Problems
564(2)
Appendix C Functions of a Complex Variable--Summary of Important Definitions and Theorems
566(8)
Further Reading
573(1)
Appendix D Matrix Algebra
574(4)
Appendix E Analog Filters
578(27)
E-1 Group Delay and Phase Delay
578(2)
E-2 Approximation of Ideal Filters by Practical Filters
580(3)
Butterworth Filter
580(1)
Bessel Filter
581(1)
Chebyshev I Filter
581(1)
Chebyshev II Filter
582(1)
Elliptic Filter
582(1)
E-3 Butterworth and Chebyshev Filters
583(11)
Butterworth Filters
583(2)
Chebyshev I Filter
585(9)
E-4 Filter Transformations
594(6)
Frequency Scaling
594(2)
Low-Pass-to-Bandpass Transformation
596(2)
Low-Pass-to-Band-Reject (Notch) Transformation
598(2)
Further Reading
600(1)
Problems
601(2)
MATLAB Projects
603(2)
Appendix F Mathematical Tables
605(3)
Appendix G Index of MATLAB Functions
608(4)
Appendix H Answers to Selected Problems
612(7)
Index 619

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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