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E-raamat: Signals and Systems using MATLAB

(Emeritus Associate Professor, Department of Electrical and Computer Engineering, University of Pittsburgh, PA, USA)
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  • Ilmumisaeg: 10-Nov-2010
  • Kirjastus: Academic Press Inc
  • Keel: eng
  • ISBN-13: 9780080879338
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  • Formaat: EPUB+DRM
  • Ilmumisaeg: 10-Nov-2010
  • Kirjastus: Academic Press Inc
  • Keel: eng
  • ISBN-13: 9780080879338
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This new textbook in Signals and Systems provides a pedagogically-rich approach to what can oftentimes be a mathematically 'dry' subject. Chaparro introduces both continuous and discrete time systems, then covers each separately in depth. Careful explanations of each concept are paired with a large number of step by step worked examples. With features like historical notes, highlighted 'common mistakes,' and applications in controls, communications, and signal processing, Chaparro helps students appreciate the usefulness of the techniques described in the book. Each chapter contains a section with Matlab applications.

* pedagogically rich introduction to signals and systems using historical notes, pointing out 'common mistakes,' and relating concepts to realistic examples throughout to motivate learning the material
*introduces both continuous and discrete systems early, then studies each (separately) in more depth later
*extensive set of worked examples and homework assignments, with applications to controls, communications, and signal processing throughout
*provides review of all the background math necessary to study the subject
*Matlab applications in every chapter


This new textbook in signals and systems provides a pedagogically rich approach to what can commonly be a mathematically dry subject. With features like historical notes, highlighted common mistakes, and applications in controls, communications, and signal processing, Chaparro helps students appreciate the usefulness of the techniques described in the book. Each chapter contains a section with MatLab applications.
  • Pedagogically rich introduction to signals and systems using historical notes, pointing out "common mistakes", and relating concepts to realistic examples throughout to motivate learning the material
  • Introduces both continuous and discrete systems early, then studies each (separately) in more depth later
  • Extensive set of worked examples and homework assignments, with applications to controls, communications, and signal processing throughout
  • Provides review of all the background math necessary to study the subject
  • MatLab applications in every chapter
Preface xi
Acknowledgments xvi
Part 1 Introduction
1(62)
Chapter 0 From the Ground Up!
3(60)
0.1 Signals and Systems and Digital Technologies
3(2)
0.2 Examples of Signal Processing Applications
5(4)
0.2.1 Compact-Disc Player
5(1)
0.2.2 Software-Defined Radio and Cognitive Radio
6(2)
0.2.3 Computer-Controlled Systems
8(1)
0.3 Analog or Discrete?
9(11)
0.3.1 Continuous-Time and Discrete-Time Representations
10(2)
0.3.2 Derivatives and Finite Differences
12(1)
0.3.3 Integrals and Summations
13(3)
0.3.4 Differential and Difference Equations
16(4)
0.4 Complex or Real?
20(9)
0.4.1 Complex Numbers and Vectors
20(3)
0.4.2 Functions of a Complex Variable
23(1)
0.4.3 Phasors and Sinusoidal Steady State
24(2)
0.4.4 Phasor Connection
26(3)
0.5 Soft Introduction to MATLAB
29(34)
0.5.1 Numerical Computations
30(13)
0.5.2 Symbolic Computations
43(10)
Problems
53(10)
Part 2 Theory and Application of Continuous-Time Signals and Systems
63(354)
Chapter 1 Continous-Time Signals
65(52)
1.1 Introduction
65(1)
1.2 Classification of Time-Dependent Signals
66(1)
1.3 Continuous-Time Signals
67(18)
1.3.1 Basic Signal Operations---Time Shifting and Reversal
71(4)
1.3.2 Even and Odd Signals
75(2)
1.3.3 Periodic and Aperiodic Signals
77(2)
1.3.4 Finite-Energy and Finite Power Signals
79(6)
1.4 Representation Using Basic Signals
85(21)
1.4.1 Complex Exponentials
85(3)
1.4.2 Unit-Step, Unit-Impulse, and Ramp Signals
88(12)
1.4.3 Special Signals---the Sampling Signal and the Sinc
100(2)
1.4.4 Basic Signals Operations---Time Scaling, Frequency Shifting, and Windowing
102(3)
1.4.5 Generic Representation of Signals
105(1)
1.5 What Have We Accomplished? Where do we Go from Here?
106(11)
Problems
108(9)
Chapter 2 Continuous-Time Systems
117(48)
2.1 Introduction
117(1)
2.2 System Concept
118(1)
2.2.1 System Classification
118(1)
2.3 LTI Continuous-Time Systems
119(37)
2.3.1 Linearity
120(5)
2.3.2 Time Invariance
125(5)
2.3.3 Representation of Systems by Differential Equations
130(5)
2.3.4 Application of Superposition and Time Invariance
135(1)
2.3.5 Convolution Integral
136(7)
2.3.6 Causality
143(2)
2.3.7 Graphical Computation of Convolution Integral
145(2)
2.3.8 Interconnection of Systems---Block Diagrams
147(6)
2.3.9 Bounded-Input Bounded-Output Stability
153(3)
2.4 What have We Accomplished? Where Do We Go from Here?
156(9)
Problems
157(8)
Chapter 3 The laplace Transform
165(72)
3.1 Introduction
165(1)
3.2 The Two-Sided Laplace Transform
166(10)
3.2.1 Eigenfunctions of LTI Systems
167(5)
3.2.2 Poles and Zeros and Region of Convergence
172(4)
3.3 The One-Sided Laplace Transform
176(21)
3.3.1 Linearity
185(3)
3.3.2 Differentiation
188(5)
3.3.3 Integration
193(1)
3.3.4 Time Shifting
194(2)
3.3.5 Convolution Integral
196(1)
3.4 Inverse Laplace Transform
197(17)
3.4.1 Inverse of One-Sided Laplace Transforms
197(12)
3.4.2 Inverse of Functions Containing e-ps Terms
209(3)
3.4.3 Inverse of Two-Sided Laplace Transforms
212(2)
3.5 Analysis of LTI-Systems
214(12)
3.5.1 LTI Systems Represented by Ordinary Differential Equations
214(7)
3.5.2 Computation of the Convolution Integral
221(5)
3.6 What Have We Accomplished? Where Do We Go from Here?
226(11)
Problems
226(11)
Chapter 4 Frequency Analysis: The Fourier Series
237(62)
4.1 Introduction
237(1)
4.2 Eigenfunctions Revisited
238(7)
4.3 Complex Exponential Fourier Series
245(3)
4.4 Line Spectra
248(3)
4.4.1 Parseval's Theorem---Power Distribution over Frequency
248(2)
4.4.2 Symmetry of Line Spectra
250(1)
4.5 Trigonometric Fourier Series
251(4)
4.6 Fourier Coefficients from Laplace
255(10)
4.7 Convergence of the Fourier Series
265(5)
4.8 Time and Frequency Shifting
270(3)
4.9 Response of LTI Systems to Periodic Signals
273(6)
4.9.1 Sinusoidal Steady State
274(2)
4.9.2 Filtering of Periodic Signals
276(3)
4.10 Other Properties of the Fourier Series
279(10)
4.10.1 Reflection and Even and Odd Periodic Signals
279(3)
4.10.2 Linearity of Fourier Series---Addition of Periodic Signals
282(2)
4.10.3 Multiplicationof Periodic Signals
284(1)
4.10.4 Derivatives and Integrals of Periodic Signals
285(4)
4.11 What Have We Accomplished? Where Do We Go from Here?
289(10)
Problems
290(9)
Chapter 5 Frequency Analysis: The Fourier Transform
299(60)
5.1 Introduction
299(1)
5.2 From the Fourier Series to the Fourier Transform
300(2)
5.3 Existence of the Fourier Transform
302(1)
5.4 Fourier Transforms from the Laplace Transform
302(2)
5.5 Linearity, Inverse Proportionality, and Duality
304(9)
5.5.1 Linearity
304(1)
5.5.2 Inverse Proportionality of Time and Frequency
305(5)
5.5.3 Duality
310(3)
5.6 Spectral Representation
313(14)
5.6.1 Signal Modulation
313(4)
5.6.2 Fourier Transform of Periodic Signals
317(3)
5.6.3 Parseval's Energy Conservation
320(2)
5.6.4 Symmetry of Spectral Representations
322(5)
5.7 Convolution and Filtering
327(17)
5.7.1 Basics of Filtering
329(3)
5.7.2 Ideal Filters
332(5)
5.7.3 Frequency Response from Poles and Zeros
337(4)
5.7.4 Spectrum Analyzer
341(3)
5.8 Additonal Properties
344(6)
5.8.1 Time Shifting
344(2)
5.8.2 Differentiation and Integration
346(4)
5.9 What Have We Accomplished? What Is Next?
350(9)
Problems
350(9)
Chapter 6 Application to Control and Communications
359(58)
6.1 Introduction
359(1)
6.2 System Connections and Block Diagrams
360(3)
6.3 Application to Classic Control
363(14)
6.3.1 Stability and Stabilization
369(2)
6.3.2 Transient Analysis of First- and Second-Order Control Systems
371(6)
6.4 Application to Communications
377(13)
6.4.1 AM with Suppressed Carrier
379(1)
6.4.2 Commercial AM
380(2)
6.4.3 AM Single Sideband
382(1)
6.4.4 Quadrature AM and Frequency-Division Multiplexing
383(2)
6.4.5 Angle Modulation
385(5)
6.5 Analog Filtering
390(19)
6.5.1 Filtering Basics
390(3)
6.5.2 Butterworth Low-Pass Filter Design
393(3)
6.5.3 Chebyshev Low-Pass Filter Design
396(6)
6.5.4 Frequency Transformations
402(3)
6.5.5 Filter Design with MATLAB
405(4)
6.6 What Have We Accomplished? What Is Next?
409(8)
Problems
409(8)
Part 3 Theory and Application of Discrete- Time Signals and Systems
417(326)
Chapter 7 Sampling Theory
419(32)
7.1 Introduction
419(1)
7.2 Uniform Sampling
420(17)
7.2.1 Pulse Amplitude Modulation
420(1)
7.2.2 Ideal Impulse Sampling
421(7)
7.2.3 Reconstruction of the Original Continuous-Time Signal
428(4)
7.2.4 Signal Reconstruction from Sinc Interpolation
432(1)
7.2.5 Sampling Simulation with MATLAB
433(4)
7.3 The Nyquist-Shannon Sampling Theorem
437(2)
7.3.1 Sampling of Modulated Signals
438(1)
7.4 Practical Aspects of Sampling
439(7)
7.4.1 Sample-and-Hold Sampling
439(2)
7.4.2 Quantization and Conding
441(3)
7.4.3 Sampling, Quantizing, and Coding with MATLAB
444(2)
7.5 What Have We Accomplished? Where Do We Go from Here?
446(5)
Problems
447(4)
Chapter 8 Discrete-Time Signals and Systems
451(60)
8.1 Introduction
451(1)
8.2 Discrete-Time Signals
452(26)
8.2.1 Periodic and Aperiodic Signals
454(4)
8.2.2 Finite-Energy and Finite-Power Discrete-Time Signals
458(3)
8.2.3 Even and Odd Signals
461(4)
8.2.4 Basic Discrete-Time Signals
465(13)
8.3 Discrete-Time Systems
478(24)
8.3.1 Recursive and Nonrecursive Discrete-Time Systems
481(5)
8.3.2 Discrete-Time Systems Represented by Difference Equations
486(1)
8.3.3 The Convolution Sum
487(7)
8.3.4 Linear and Nonlinear Filtering with MATLAB
494(3)
8.3.5 Causality and Stability of Discrete-Time Systems
497(5)
8.4 What Have We Accomplished? Where Do We Go from Here?
502(9)
Problems
502(9)
Chapter 9 The Z-Transform
511(60)
9.1 Introduction
511(1)
9.2 Laplace Transform of Sampled Signals
512(3)
9.3 Two-Sided Z-Transform
515(6)
9.3.1 Region of Convergence
516(5)
9.4 One-Sided Z-Transform
521(21)
9.4.1 Computing the Z-Transform with Symbolic MATLAB
522(1)
9.4.2 Signal Behavior and Poles
522(4)
9.4.3 Convolution Sum and Transfer Function
526(11)
9.4.4 Interconnection of Discrete-Time Systems
537(2)
9.4.5 Initial and Final Value Properties
539(3)
9.5 One-Sided Z-Transform Inverse
542(22)
9.5.1 Long-Division Method
542(2)
9.5.2 Partial Fraction Expansion
544(3)
9.5.3 Inverse Z-Transform with MATLAB
547(3)
9.5.4 Solution of Difference Equations
550(11)
9.5.5 Inverse of Two-Sided Z-Transforms
561(3)
9.6 What Have We Accomplished? Where Do We Go from Here?
564(7)
Problems
564(7)
Chapter 10 Fourier Analysis of Discrete-Time Signals and Systems
571(68)
10.1 Introduction
571(1)
10.2 Discrete-Time Fourier Transform
572(24)
10.2.1 Sampling, Z-Transform, Eigenfunctions, and the DTFT
573(2)
10.2.2 Duality in Time and Frequency
575(2)
10.2.3 Computation of the DTFT Using MATLAB
577(3)
10.2.4 Time and Frequency Supports
580(5)
10.2.5 Parseval's Energy Result
585(2)
10.2.6 Time and Frequency Shifts
587(2)
10.2.7 Symmetry
589(6)
10.2.8 Convolution Sum
595(1)
10.3 Fourier Series of Discrete-Time Periodic Signals
596(18)
10.3.1 Complex Exponential Discrete Fourier Series
599(2)
10.3.2 Connection with the Z-Transform
601(1)
10.3.3 DTFT of Perodic Signals
602(2)
10.3.4 Response of LTI Systems to Periodic Signals
604(3)
10.3.5 Circular Shifting and Periodic Convolution
607(7)
10.4 Discrete Fourier Transform
614(14)
10.4.1 DFT of Periodic Discrete-Time Signals
614(2)
10.4.2 DFT of Aperiodic Discrete-Time Signals
616(1)
10.4.3 Computation of the DFT via the FFT
617(5)
10.4.4 Linear and Circular Convolution Sums
622(6)
10.5 What Have We Accomplished? Where Do We Go from Here?
628(11)
Problems
629(10)
Chapter 11 Introduction to the Design of Discrete Filters
639(70)
11.1 Introduction
639(2)
11.2 Frequency-Selective Discrete Filters
641(7)
11.2.1 Linear Phase
641(2)
11.2.2 IIR and FIR Discrete Filters
643(5)
11.3 Filter Specifications
648(5)
11.3.1 Frequency-Domain Specifications
648(4)
11.3.2 Time-Domain Specifications
652(1)
11.4 IIR Filter Design
653(26)
11.4.1 Transformation Design of IIR Discrete Filters
654(4)
11.4.2 Design of Butterworth Low-Pass Discrete Filters
658(8)
11.4.3 Design of Chebyshev Low-Pass Discrete Filters
666(6)
11.4.4 Rational Frequency Transformations
672(5)
11.4.5 General IIR Filter Design with MATLAB
677(2)
11.5 FIR Filter Design
679(10)
11.5.1 Window Design Method
681(2)
11.5.2 Window Functions
683(6)
11.6 Realization of Discrete Filters
689(12)
11.6.1 Realization of IIR Filters
690(9)
11.6.2 Realization of FIR Filters
699(2)
11.7 What Have We Accomplished? Where Do We Go from Here?
701(8)
Problems
701(8)
Chapter 12 Applications of Discrete-Time Signals and Systems
709(34)
12.1 Introduction
709(1)
12.2 Application to Digital Signal Processing
710(12)
12.2.1 Fast Fourier Transform
711(4)
12.2.2 Computation of the Inverse DFT
715(1)
12.2.3 General Approach of FFT Algorithms
716(6)
12.3 Application to Sampled-Data and Digital Control Systems
722(7)
12.3.1 Open-Loop Sampled-Data System
724(2)
12.3.2 Closed-Loop Sampled-Data System
726(3)
12.4 Application to Digital Communications
729(13)
12.4.1 Pulse Code Modulation
730(3)
12.4.2 Time-Division Multiplexing
733(2)
12.4.3 Spread Spectrum and Orthogonal Frequency-Division Multiplexing
735(7)
12.5 What Have We Accomplished? Where Do We Go from Here?
742(1)
Appendix Useful Formulas 743(3)
Bibliography 746(3)
Index 749
Dr. Chaparro's research interests include statistical signal processing, time-frequency analysis, nonlinear image processing and multidimensional system theory. He is a senior Member of IEEE, Associate Editor of the Journal of the Franklin Institute, past Associate Editor of the IEEE Transaction on Signal Processing and member of the IEEE Technical Committee on Statistical Signal and Array Processing.