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Signals and Systems: Analysis Using Transform Methods & MATLAB 2nd edition [Kõva köide]

  • Formaat: Hardback, 816 pages, kõrgus x laius x paksus: 259x203x36 mm, kaal: 1594 g, 999 Illustrations
  • Ilmumisaeg: 16-Mar-2011
  • Kirjastus: McGraw-Hill Professional
  • ISBN-10: 0073380687
  • ISBN-13: 9780073380681
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  • Formaat: Hardback, 816 pages, kõrgus x laius x paksus: 259x203x36 mm, kaal: 1594 g, 999 Illustrations
  • Ilmumisaeg: 16-Mar-2011
  • Kirjastus: McGraw-Hill Professional
  • ISBN-10: 0073380687
  • ISBN-13: 9780073380681
The second edition of Signals and Systems: Analysis Using Transform Methods and MATLAB® has been extensively updated while retaining the emphasis on fundamental applications and theory that has been the hallmark of this popular text. The text includes a wealth of exercises, including drill exercises, and more challenging conceptual problems. The book is intended to cover a two-semester course sequence in the basics of signals and systems analysis during the junior or senior year.
Preface xii
Chapter 1 Introduction
1(18)
1.1 Signals and Systems Defined
1(2)
1.2 Types of Signals
3(5)
1.3 Examples of Systems
8(6)
A Mechanical System
9(1)
A Fluid System
9(2)
A Discrete-Time System
11(1)
Feedback Systems
12(2)
1.4 A Familiar Signal and System Example
14(4)
1.5 Use of MATLAB
18(1)
Chapter 2 Mathematical Description of Continuous-Time Signals
19(58)
2.1 Introduction and Goals
19(1)
2.2 Functional Notation
20(1)
2.3 Continuous-Time Signal Functions
20(14)
Complex Exponentials and Sinusoids
21(2)
Functions with Discontinuities
23(1)
The Signum Function
24(1)
The Unit-Step Function
24(2)
The Unit-Ramp Function
26(1)
The Unit Impulse
27(2)
The Impulse, the Unit Step and Generalized Derivatives
29(1)
The Equivalence Property of the Impulse
30(1)
The Sampling Property of the Impulse
31(1)
The Scaling Property of the Impulse
31(1)
The Unit Periodic Impulse or Impulse Train
32(1)
A Coordinated Notation for Singularity Functions
33(1)
The Unit-Rectangle Function
33(1)
2.4 Combinations of Functions
34(2)
2.5 Shifting and Scaling
36(11)
Amplitude Scaling
36(1)
Time Shifting
37(2)
Time Scaling
39(4)
Simultaneous Shifting and Scaling
43(4)
2.6 Differentiation and Integration
47(2)
2.7 Even and Odd Signals
49(4)
Combinations of Even and Odd Signals
51(2)
Derivatives and Integrals of Even and Odd Signals
53(1)
2.8 Periodic Signals
53(3)
2.9 Signal Energy and Power
56(4)
Signal Energy
56(1)
Signal Power
57(3)
2.10 Summary of Important Points
60(17)
Exercises
60(1)
Exercises with Answers
60(1)
Signal Functions
60(1)
Scaling and Shifting
61(4)
Derivatives and Integrals
65(1)
Even and Odd Signals
66(2)
Periodic Signals
68(1)
Signal Energy and Power
69(1)
Exercises without Answers
70(1)
Signal Functions
70(1)
Scaling and Shifting
71(3)
Generalized Derivative
74(1)
Derivatives and Integrals
74(1)
Even and Odd Signals
75(1)
Periodic Signals
75(1)
Signal Energy and Power
76(1)
Chapter 3 Discrete-Time Signal Description
77(36)
3.1 Introduction and Goals
77(1)
3.2 Sampling and Discrete Time
78(2)
3.3 Sinusoids and Exponentials
80(4)
Sinusoids
80(3)
Exponentials
83(1)
3.4 Singularity Functions
84(3)
The Unit-Impulse Function
84(1)
The Unit-Sequence Function
85(1)
The Signum Function
85(1)
The Unit-Ramp Function
86(1)
The Unit Periodic Impulse Function or Impulse Train
86(1)
3.5 Shifting and Scaling
87(5)
Amplitude Scaling
87(1)
Time Shifting
87(1)
Time Scaling
87(1)
Time Compression
88(1)
Time Expansion
88(4)
3.6 Differencing and Accumulation
92(4)
3.7 Even and Odd Signals
96(2)
Combinations of Even and Odd Signals
97(1)
Symmetrical Finite Summation of Even and Odd Signals
97(1)
3.8 Periodic Signals
98(1)
3.9 Signal Energy and Power
99(3)
Signal Energy
99(1)
Signal Power
100(2)
3.10 Summary of Important Points
102(11)
Exercises
102(1)
Exercises with Answers
102(1)
Signal Functions
102(2)
Scaling and Shifting
104(1)
Differencing and Accumulation
105(1)
Even and Odd Signals
106(1)
Periodic Signals
107(1)
Signal Energy and Power
108(1)
Exercises without Answers
108(1)
Signal Functions
108(1)
Shifting and Scaling
109(2)
Differencing and Accumulation
111(1)
Even and Odd Signals
111(1)
Periodic Signals
112(1)
Signal Energy and Power
112(1)
Chapter 4 Description of Systems
113(46)
4.1 Introduction and Goals
113(1)
4.2 Continuous-Time Systems
114(26)
System Modeling
114(1)
Differential Equations
115(4)
Block Diagrams
119(3)
System Properties
122(1)
Introductory Example
122(4)
Homogeneity
126(1)
Time Invariance
127(1)
Additivity
128(1)
Linearity and Superposition
129(1)
LT1 Systems
129(4)
Stability
133(1)
Causality
134(1)
Memory
134(1)
Static Nonlinearity
135(2)
Invertibility
137(1)
Dynamics of Second-Order Systems
138(2)
Complex Sinusoid Excitation
140(1)
4.3 Discrete-Time Systems
140(10)
System Modeling
140(1)
Block Diagrams
140(1)
Difference Equations
141(6)
System Properties
147(3)
4.4 Summary of Important Points
150(9)
Exercises
151(1)
Exercises with Answers
151(1)
System Models
151(2)
System Properties
153(2)
Exercises without Answers
155(1)
System Models
155(2)
System Properties
157(2)
Chapter 5 Time-Domain System Analysis
159(56)
5.1 Introduction and Goals
159(1)
5.2 Continuous Time
159(22)
Impulse Response
159(5)
Continuous-Time Convolution
164(1)
Derivation
164(4)
Graphical and Analytical Examples of Convolution
168(5)
Convolution Properties
173(3)
System Connections
176(1)
Step Response and Impulse Response
176(1)
Stability and Impulse Response
176(1)
Complex Exponential Excitation and the Transfer Function
177(2)
Frequency Response
179(2)
5.3 Discrete Time
181(20)
Impulse Response
181(3)
Discrete-Time Convolution
184(1)
Derivation
184(3)
Graphical and Analytical Examples of Convolution
187(4)
Convolution Properties
191(1)
Numerical Convolution
191(1)
Discrete-Time Numerical Convolution
191(2)
Continuous-Time Numerical Convolution
193(2)
Stability and Impulse Response
195(1)
System Connections
195(1)
Unit-Sequence Response and Impulse Response
196(2)
Complex Exponential Excitation and the Transfer Function
198(1)
Frequency Response
199(2)
5.4 Summary of Important Points
201(14)
Exercises
201(1)
Exercises with Answers
201(1)
Continuous Time
201(1)
Impulse Response
201(1)
Convolution
201(3)
Stability
204(1)
Discrete Time
205(1)
Impulse Response
205(1)
Convolution
205(3)
Stability
208(1)
Exercises without Answers
208(1)
Continuous Time
208(1)
Impulse Response
208(1)
Convolution
209(1)
Stability
210(2)
Discrete Time
212(1)
Impulse Response
212(1)
Convolution
212(2)
Stability
214(1)
Chapter 6 Continuous-Time Fourier Methods
215(75)
6.1 Introduction and Goals
215(1)
6.2 The Continuous-Time Fourier Series
216(25)
Conceptual Basis
216(4)
Orthogonality and the Harmonic Function
220(3)
The Compact Trigonometric Fourier Series
223(2)
Convergence
225(1)
Continuous Signals
225(1)
Discontinuous Signals
226(2)
Minimum Error of Fourier-Series Partial Sums
228(1)
The Fourier Series of Even and Odd Periodic Functions
229(1)
Fourier-Series Tables and Properties
230(4)
Numerical Computation of the Fourier Series
234(7)
6.3 The Continuous-Time Fourier Transform
241(26)
Extending the Fourier Series to Aperiodic Signals
241(5)
The Generalized Fourier Transform
246(4)
Fourier Transform Properties
250(9)
Numerical Computation of the Fourier Transform
259(8)
6.4 Summary of Important Points
267(23)
Exercises
267(1)
Exercises with Answers
267(1)
Fourier Series
267(1)
Orthogonality
268(1)
CTFS Harmonic Functions
268(3)
System Response to Periodic Excitation
271(1)
Forward and Inverse Fourier Transforms
271(9)
Relation of CTFS to CTFT
280(1)
Numerical CTFT
281(1)
System Response
282(1)
Exercises without Answers
282(1)
Fourier Series
282(1)
Orthogonality
283(1)
Forward and Inverse Fourier Transforms
283(7)
Chapter 7 Discrete-Time Fourier Methods
290(41)
7.1 Introduction and Goals
290(1)
7.2 The Discrete-Time Fourier Series and the Discrete Fourier Transform
290(14)
Linearity and Complex-Exponential Excitation
290(4)
Orthogonality and the Harmonic Function
294(4)
Discrete Fourier Transform Properties
298(4)
The Fast Fourier Transform
302(2)
7.3 The Discrete-Time Fourier Transform
304(17)
Extending the Discrete Fourier Transform to Aperiodic Signals
304(1)
Derivation and Definition
305(2)
The Generalized DTFT
307(1)
Convergence of the Discrete-Time Fourier Transform
308(1)
DTFT Properties
309(6)
Numerical Computation of the Discrete-Time Fourier Transform
315(6)
7.4 Fourier Method Comparisons
321(2)
7.5 Summary of Important Points
323(8)
Exercises
323(1)
Exercises with Answers
323(1)
Orthogonality
323(1)
Discrete Fourier Transform
324(1)
Discrete-Time Fourier Transform Definition
324(1)
Forward and Inverse Discrete-Time Fourier Transforms
325(3)
Exercises without Answers
328(1)
Discrete Fourier Transform
328(1)
Forward and Inverse Discrete-Time Fourier Transforms
328(3)
Chapter 8 The Laplace Transform
331(51)
8.1 Introduction and Goals
331(1)
8.2 Development of the Laplace Transform
332(3)
Generalizing the Fourier Transform
332(2)
Complex Exponential Excitation and Response
334(1)
8.3 The Transfer Function
335(1)
8.4 Cascade-Connected Systems
335(1)
8.5 Direct Form II Realization
336(1)
8.6 The Inverse Laplace Transform
337(1)
8.7 Existence of the Laplace Transform
337(2)
Time-Limited Signals
338(1)
Right-and Left-Sided Signals
338(1)
8.8 Laplace Transform Pairs
339(5)
8.9 Partial-Fraction Expansion
344(10)
8.10 Laplace Transform Properties
354(2)
8.11 The Unilateral Laplace Transform
356(6)
Definition
356(2)
Properties Unique to the Unilateral Laplace Transform
358(2)
Solution of Differential Equations with Initial Conditions
360(2)
8.12 Pole-Zero Diagrams and Frequency Response
362(8)
8.13 MATLAB System Objects
370(2)
8.14 Summary of Important Points
372(10)
Exercises
372(1)
Exercises with Answers
372(1)
Laplace Transform Definition
372(1)
Existence of the Laplace Transform
373(1)
Direct Form II System Realization
373(1)
Forward and Inverse Laplace Transforms
373(2)
Unilateral Laplace Transform Integral
375(1)
Solving Differential Equations
376(1)
Pole-Zero Diagrams and Frequency Response
377(1)
Exercises without Answers
378(1)
Laplace Transform Definition
378(1)
Existence of the Laplace Transform
378(1)
Direct Form II System Realization
378(1)
Forward and Inverse Laplace Transforms
378(1)
Solution of Differential Equations
379(1)
Pole-Zero Diagrams and Frequency Response
380(2)
Chapter 9 The z Transform
382(38)
9.1 Introduction and Goals
382(1)
9.2 Generalizing the Discrete-Time Fourier Transform
383(1)
9.3 Complex Exponential Excitation and Response
384(1)
9.4 The Transfer Function
384(1)
9.5 Cascade-Connected Systems
384(1)
9.6 Direct Form II System Realization
385(1)
9.7 The Inverse z Transform
386(1)
9.8 Existence of the z Transform
386(3)
Time-Limited Signals
386(1)
Right- and Left-Sided Signals
387(2)
9.9 z-Transform Pairs
389(3)
9.10 z-Transform Properties
392(1)
9.11 Inverse z-Transform Methods
393(6)
Synthetic Division
393(1)
Partial-Fraction Expansion
394(1)
Examples of Forward and Inverse z Transforms
394(5)
9.12 The Unilateral z Transform
399(2)
Properties Unique to the Unilateral z Transform
399(1)
Solution of Difference Equations
400(1)
9.13 Pole-Zero Diagrams and Frequency Response
401(3)
9.14 MATLAB System Objects
404(2)
9.15 Transform Method Comparisons
406(4)
9.16 Summary of Important Points
410(10)
Exercises
411(1)
Exercises with Answers
411(1)
Direct Form II System Realization
411(1)
Existence of the z Transform
411(1)
Forward and Inverse z Transforms
411(2)
Unilateral z-Transform Properties
413(1)
Solution of Difference Equations
414(1)
Pole-Zero Diagrams and Frequency Response
415(1)
Exercises without Answers
416(1)
Direct Form II System Realization
416(1)
Existence of the z Transform
416(1)
Forward and Inverse z Transforms
416(1)
Pole-Zero Diagrams and Frequency Response
417(3)
Chapter 10 Sampling and Signal Processing
420(61)
10.1 Introduction and Goals
420(1)
10.2 Continuous-Time Sampling
421(34)
Sampling Methods
421(2)
The Sampling Theorem
423(1)
Qualitative Concepts
423(2)
Sampling Theorem Derivation
425(3)
Aliasing
428(3)
Time-Limited and Randlimited Signals
431(1)
Interpolation
432(1)
Ideal Interpolation
432(1)
Practical Interpolation
433(1)
Zero-Order Hold
434(1)
First-Order Hold
434(1)
Sampling Bandpass Signals
435(3)
Sampling a Sinusoid
438(3)
Band-Limited Periodic Signals
441(3)
Signal Processing Using the DFT
444(1)
CTFT-DFT Relationship
444(1)
CTFT-DTFT Relationship
445(3)
Sampling and Periodic-Repetition Relationship
448(4)
Computing the CTFS Harmonic Function with the DFT
452(1)
Approximating the CTFT with the DFT
452(1)
Forward CTFT
452(1)
Inverse CTFT
453(1)
Approximating the DTFT with the DFT
453(1)
Approximating Continuous-Time Convolution with the DFT
453(1)
Aperiodic Convolution
453(1)
Periodic Convolution
453(1)
Discrete-Time Convolution with the DFT
453(1)
Aperiodic Convolution
453(1)
Periodic Convolution
453(1)
Summary of Signal Processing Using the DFT
454(1)
10.3 Discrete-Time Sampling
455(5)
Periodic-Impulse Sampling
455(2)
Interpolation
457(3)
10.4 Summary of Important Points
460(21)
Exercises
461(1)
Exercises with Answers
461(1)
Pulse Amplitude Modulation
461(1)
Sampling
461(1)
Impulse Sampling
462(3)
Nyquist Rates
465(1)
Time-Limited and Randlimited Signals
465(1)
Interpolation
466(1)
Aliasing
467(1)
Bandlimited Periodic Signals
468(1)
CTFT-CTFS-DFT Relationships
468(2)
Windows
470(1)
DFT
471(4)
Exercises without Answers
475(1)
Sampling
475(1)
Impulse Sampling
476(1)
Nyquist Rates
477(1)
Aliasing
477(1)
Practical Sampling
477(1)
Bandlimited Periodic Signals
478(1)
DFT
478(3)
Chapter 11 Frequency Response Analysis
481(77)
11.1 Introduction and Goals
481(1)
11.2 Frequency Response
481(1)
11.3 Continuous-Time Filters
482(36)
Examples of Filters
482(5)
Ideal Filters
487(1)
Distortion
487(1)
Filter Classifications
488(1)
Ideal Filter Frequency Responses
488(1)
Impulse Responses and Causality
489(3)
The Power Spectrum
492(1)
Noise Removal
492(1)
Bode Diagrams
493(1)
The Decibel
493(4)
The One-Real-Pole System
497(1)
The One-Real-Zero System
498(1)
Integrators and Differentiators
499(1)
Frequency-Independent Gain
499(3)
Complex Pole and Zero Pairs
502(2)
Practical Filters
504(1)
Passive Filters
504(1)
The Lowpass Filter
504(3)
The Bandpass Filter
507(1)
Active Filters
508(1)
Operational Amplifiers
509(1)
The Integrator
510(1)
The Lowpass Filter
510(8)
11.4 Discrete-Time Filters
518(20)
Notation
518(1)
Ideal Filters
519(1)
Distortion
519(1)
Filter Classifications
520(1)
Frequency Responses
520(1)
Impulse Responses and Causality
520(1)
Filtering Images
521(5)
Practical Filters
526(1)
Comparison with Continuous-Time Filters
526(2)
Highpass, Bandpass and Bandstop Filters
528(4)
The Moving Average Filter
532(4)
The Almost Ideal Lowpass Filter
536(2)
Advantages Compared to Continuous-Time Filters
538(1)
11.5 Summary of Important Points
538(20)
Exercises
539(1)
Exercises with Answers
539(1)
Continuous-Time Frequency Response
539(1)
Continuous-Time Ideal Filters
539(1)
Continuous-Time Causality
540(1)
Logarithmic Graphs and Bode Diagrams
540(1)
Continuous-Time Practical Passive Filters
541(3)
Continuous-Time Practical Active Filters
544(1)
Discrete-Time Frequency Response
545(1)
Discrete-Time Ideal Filters
546(1)
Discrete-Time Causality
546(1)
Discrete-Time Practical Filters
546(1)
Exercises without Answers
547(1)
Continuous-Time Frequency Response
547(1)
Continuous-Time Ideal Filters
547(1)
Continuous-Time Causality
548(1)
Bode Diagrams
548(1)
Continuous-Time Practical Passive Filters
549(2)
Continuous-Time Filters
551(1)
Continuous-Time Practical Active Filters
551(3)
Discrete-Time Causality
554(1)
Discrete-Time Filters
554(3)
Image Filtering
557(1)
Chapter 12 Communication System Analysis
558(28)
12.1 Introduction and Goals
558(1)
12.2 Continuous Time Communication Systems
558(18)
Need for Communication Systems
558(2)
Frequency Multiplexing
560(1)
Analog Modulation and Demodulation
561(1)
Amplitude Modulation
561(1)
Double-Sideband Suppressed-Carrier Modulation
561(3)
Double-Sideband Transmitted-Carrier Modulation
564(2)
Single-Sideband Suppressed-Carrier Modulation
566(1)
Angle Modulation
567(9)
12.3 Discrete-Time Sinusoidal-Carrier Amplitude Modulation
576(2)
12.4 Summary of Important Points
578(8)
Exercises
578(1)
Exercises with Answers
578(1)
Amplitude Modulation
578(2)
Angle Modulation
580(2)
Exercises without Answers
582(1)
Amplitude Modulation
582(1)
Angle Modulation
583(1)
Envelope Detector
583(1)
Chopper-Stabilized Amplifier
584(1)
Multipath
585(1)
Chapter 13 Laplace System Analysis
586(55)
13.1 Introduction and Goals
586(1)
13.2 System Representations
586(4)
13.3 System Stability
590(3)
13.4 System Connections
593(22)
Cascade and Parallel Connections
593(1)
The Feedback Connection
593(1)
Terminology and Basic Relationships
593(1)
Feedback Effects on Stability
594(1)
Beneficial Effects of Feedback
595(3)
Instability Caused by Feedback
598(4)
Stable Oscillation Using Feedback
602(4)
The Root-Locus Method
606(6)
Tracking Errors in Unity-Gain Feedback Systems
612(3)
13.5 System Analysis Using MATLAB
615(2)
13.6 System Responses to Standard Signals
617(7)
Unit-Step Response
618(3)
Sinusoid Response
621(3)
13.7 Standard Realizations of Systems
624(2)
Cascade Realization
624(2)
Parallel Realization
626(1)
13.8 Summary of Important Points
626(15)
Exercises
627(1)
Exercises with Answers
627(1)
Transfer Functions
627(1)
Stability
628(1)
Parallel, Cascade and Feedback Connections
629(2)
Root Locus
631(1)
Tracking Errors in Unity-Gain Feedback Systems
632(1)
Response to Standard Signals
632(1)
System Realization
633(1)
Exercises without Answers
634(1)
Transfer Functions
634(1)
Stability
634(1)
Parallel, Cascade and Feedback Connections
634(4)
Root Locus
638(1)
Tracking Errors in Unity-Gain Feedback Systems
639(1)
Responses to Standard Signals
639(1)
System Realization
640(1)
Chapter 14 z-Transform System Analysis
641(29)
14.1 Introduction and Goals
641(1)
14.2 System Models
641(1)
Difference Equations
641(1)
Block Diagrams
642(1)
14.3 System Stability
642(1)
14.4 System Connections
643(2)
14.5 System Responses to Standard Signals
645(6)
Unit-Sequence Response
645(3)
Response to a Causal Sinusoid
648(3)
14.6 Simulating Continuous-Time Systems with Discrete-Time Systems
651(10)
z-Transform-Laplace-Transform Relationships
651(2)
Impulse Invariance
653(2)
Sampled-Data Systems
655(6)
14.7 Standard Realizations of Systems
661(1)
Cascade Realization
661(1)
Parallel Realization
661(1)
14.8 Summary of Important Points
662(8)
Exercises
663(1)
Exercises with Answers
663(1)
Stability
663(1)
Parallel, Cascade and Feedback Connections
663(1)
Response to Standard Signals
663(1)
Root Locus
664(1)
Laplace-Transform-z-Transform Relationship
665(1)
Sampled-Data Systems
665(1)
System Realization
665(1)
Exercises without Answers
666(1)
Stability
666(1)
Parallel, Cascade and Feedback Connections
666(1)
Response to Standard Signals
667(1)
Laplace-Transform-z-Transform Relationship
668(1)
Sampled-Data Systems
668(1)
System Realization
668(1)
General
669(1)
Chapter 15 Filter Analysis and Design
670(56)
15.1 Introduction and Goals
670(1)
15.2 Analog Filters
670(9)
Butterworth Filters
671(1)
Normalized Butterworth Filters
671(1)
Filter Transformations
672(2)
MATLAB Design Tools
674(2)
Chebyshev, Elliptic and Bessel Filters
676(3)
15.3 Digital Filters
679(38)
Simulation of Analog Filters
679(1)
Filter Design Techniques
679(1)
IIR Filter Design
679(1)
Time-Domain Methods
679(1)
Impulse-Invariant Design
679(7)
Step-Invariant Design
686(2)
Finite-Difference Design
688(6)
Frequency-Domain Methods
694(1)
Direct Substitution and the Matched z-Transform
694(2)
The Bilinear Method
696(7)
FIR Filter Design
703(1)
Truncated Ideal Impulse Response
703(10)
Optimal FIR Filter Design
713(2)
MATLAB Design Tools
715(2)
15.4 Summary of Important Points
717(9)
Exercises
717(1)
Exercises with Answers
717(1)
Continuous-Time Butterworth Filters
717(2)
Impulse-Invariant and Step-Invariant Filter Design
719(1)
Finite-Difference Filter Design
720(1)
Matched z-Transform and Direct Substitution Filter Design
720(1)
Bilinear z-Transform Filter Design
721(1)
FIR Filter Design
721(2)
Exercises without Answers
723(1)
Analog Filter Design
723(1)
Impulse-Invariant and Step-Invariant Filter Design
724(1)
Finite-Difference Filter Design
724(1)
Matched z-Transform and Direct Substitution Filter Design
724(1)
Bilinear z-Transform Filter Design
725(1)
FIR Filter Design
725(1)
Chapter 16 State-Space Analysis
726(35)
16.1 Introduction and Goals
726(1)
16.2 Continuous-Time Systems
726(20)
System and Output Equations
727(11)
Transfer Functions
738(2)
Alternate State-Variable Choices
740(1)
Transformations of State Variables
741(1)
Diagonalization
742(3)
MATLAB Tools for State-Space Analysis
745(1)
16.3 Discrete-Time Systems
746(7)
System and Output Equations
746(4)
Transfer Functions and Transformations of State Variables
750(3)
MATLAB Tools for State-Space Analysis
753(1)
16.4 Summary of Important Points
753(8)
Exercises
754(1)
Exercises with Answers
754(1)
Continuous-Time State Equations
754(2)
Continuous-Time System Response
756(1)
Diagonalization
756(1)
Differential-Equation Description
757(1)
Discrete-Time State Equations
757(1)
Difference-Equation Description
758(1)
Discrete-Time System Response
758(1)
Exercises without Answers
759(1)
Continuous-Time State Equations
759(1)
Continuous-Time System Response
759(1)
Discrete-Time State Equations
759(1)
Discrete-Time System Response
760(1)
Diagonalization
760(1)
Appendix A Useful Mathematical Relations 761(3)
Appendix B Continuous-Time Fourier Series Pairs 764(3)
Appendix C Discrete Fourier Transform Pairs 767(3)
Appendix D Continuous-Time Fourier Transform Pairs 770(7)
Appendix E Discrete-Time Fourier Transform Pairs 777(5)
Appendix F Tables of Laplace Transform Pairs 782(2)
Appendix G z Transform Pairs 784(2)
Bibliography 786(2)
Index 788