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Signals, Systems, and Transforms 4th edition [Kõva köide]

  • Formaat: Hardback, 784 pages, kõrgus x laius x paksus: 244x196x32 mm, kaal: 1390 g
  • Ilmumisaeg: 13-Aug-2007
  • Kirjastus: Pearson
  • ISBN-10: 0131989235
  • ISBN-13: 9780131989238
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  • Formaat: Hardback, 784 pages, kõrgus x laius x paksus: 244x196x32 mm, kaal: 1390 g
  • Ilmumisaeg: 13-Aug-2007
  • Kirjastus: Pearson
  • ISBN-10: 0131989235
  • ISBN-13: 9780131989238
Teised raamatud teemal:
For sophomore/junior-level signals and systems courses in Electrical and Computer Engineering departments.

Signals, Systems, and Transforms, Fourth Edition is ideal for electrical and computer engineers. The text provides a clear, comprehensive presentation of both the theory and applications in signals, systems, and transforms. It presents the mathematical background of signals and systems, including the Fourier transform, the Fourier series, the Laplace transform, the discrete-time and the discrete Fourier transforms, and the z-transform. The text integrates MATLAB examples into the presentation of signal and system theory and applications.

Preface xvii
Introduction
1(22)
Modeling
1(3)
Continuous-Time Physical Systems
4(10)
Electric Circuits
4(2)
Operational Amplifier Circuits
6(3)
Simple Pendulum
9(1)
DC Power Supplies
10(2)
Analogous Systems
12(2)
Samplers and Discrete-Time Physical Systems
14(8)
Analog-to-Digital Converter
14(2)
Numerical Integration
16(1)
Picture in a Picture
17(1)
Compact Disks
18(1)
Sampling in Telephone Systems
19(2)
Data-Acquisition System
21(1)
MATLAB and Simulink
22(1)
Continuous-Time Signals and Systems
23(66)
Transformations of Continuous-Time Signals
24(8)
Time Transformations
24(6)
Amplitude Transformations
30(2)
Signal Characteristics
32(7)
Even and Odd Signals
32(2)
Periodic Signals
34(5)
Common Signals in Engineering
39(6)
Singularity Functions
45(9)
Unit Step Function
45(4)
Unit Impulse Function
49(5)
Mathematical Functions for Signals
54(5)
Continuous-Time Systems
59(6)
Interconnecting Systems
61(3)
Feedback System
64(1)
Properties of Continuous-Time Systems
65(24)
Stability
69(5)
Linearity
74(2)
Summary
76(2)
Problems
78(11)
Continuous-Time Linear Time-Invariant Systems
89(61)
Impulse Representation of Continuous-Time Signals
90(1)
Convolution for Continuous-Time LTI Systems
91(13)
Properties of Convolution
104(3)
Properties of Continuous-Time LTI Systems
107(5)
Memoryless Systems
108(1)
Invertibility
108(1)
Causality
109(1)
Stability
110(1)
Unit Step Response
111(1)
Differential-Equation Models
112(7)
Solution of Differential Equations
114(2)
General Case
116(2)
Relation to Physical Systems
118(1)
Terms in the Natural Response
119(4)
Stability
120(3)
System Response for Complex-Exponential Inputs
123(6)
Linearity
123(1)
Complex Inputs for LTI Systems
124(4)
Impulse Response
128(1)
Block Diagrams
129(21)
Direct Form I
133(1)
Direct Form II
133(1)
nth-Order Realizations
133(2)
Practical Considerations
135(2)
Summary
137(2)
Problems
139(11)
Fourier Series
150(47)
Approximating Periodic Functions
151(5)
Periodic Functions
152(1)
Approximating Periodic Functions
152(4)
Fourier Series
156(5)
Fourier Series
157(1)
Fourier Coefficients
158(3)
Fourier Series and Frequency Spectra
161(10)
Frequency Spectra
162(9)
Properties of Fourier Series
171(3)
System Analysis
174(7)
Fourier Series Transformations
181(16)
Amplitude Transformations
182(2)
Time Transformations
184(2)
Summary
186(1)
Problems
187(10)
The Fourier Transform
197(77)
Definition of the Fourier Transform
197(9)
Properties of the Fourier Transform
206(22)
Linearity
206(2)
Time Scaling
208(3)
Time Shifting
211(1)
Time Transformation
212(1)
Duality
213(3)
Convolution
216(1)
Frequency Shifting
217(2)
Time Differentiation
219(5)
Time Integration
224(3)
Frequency Differentiation
227(1)
Summary
227(1)
Fourier Transforms of Time Functions
228(9)
DC Level
228(1)
Unit Step Function
228(1)
Switched Cosine
229(1)
Pulsed Cosine
229(2)
Exponential Pulse
231(1)
Fourier Transforms of Periodic Functions
231(6)
Summary
237(1)
Sampling Continuous-Time Signals
237(6)
Impulse Sampling
238(2)
Shannon's Sampling Theorem
240(2)
Practical Sampling
242(1)
Application of the Fourier Transform
243(12)
Frequency Response of Linear Systems
243(9)
Frequency Spectra of Signals
252(3)
Summary
255(1)
Energy and Power Density Spectra
255(19)
Energy Density Spectrum
255(3)
Power Density Spectrum
258(3)
Power and Energy Transmission
261(2)
Summary
263(1)
Summary
264(2)
Problems
266(8)
Applications of the Fourier Transform
274(61)
Ideal Filters
274(7)
Real Filters
281(14)
RC Low-Pass Filter
282(2)
Butterworth Filter
284(6)
Chebyschev and Elliptic Filters
290(4)
Bandpass Filters
294(1)
Summary
295(1)
Bandwidth Relationships
295(4)
Reconstruction of Signals from Sample Data
299(7)
Interpolating Function
301(2)
Digital-to-Analog Conversion
303(3)
Sinusoidal Amplitude Modulation
306(11)
Frequency-Division Multiplexing
315(2)
Pulse-Amplitude Modulation
317(18)
Time-Division Multiplexing
319(2)
Flat-Top PAM
321(3)
Summary
324(1)
Problems
324(11)
The Laplace Transform
335(63)
Definitions of Laplace Transforms
336(3)
Examples
339(5)
Laplace Transforms of Functions
344(4)
Laplace Transform Properties
348(8)
Real Shifting
349(4)
Differentiation
353(2)
Integration
355(1)
Additional Properties
356(6)
Multiplication by t
356(1)
Initial Value
357(1)
Final Value
358(1)
Time Transformation
359(3)
Response of LTI Systems
362(12)
Initial Conditions
362(1)
Transfer Functions
363(5)
Convolution
368(2)
Transforms with Complex Poles
370(3)
Functions with Repeated Poles
373(1)
LTI Systems Characteristics
374(6)
Causality
374(1)
Stability
375(2)
Invertibility
377(1)
Frequency Response
378(2)
Bilateral Laplace Transform
380(8)
Region of Convergence
382(2)
Bilateral Transform from Unilateral Tables
384(2)
Inverse Bilateral Laplace Transform
386(2)
Relationship of the Laplace Transform to the Fourier Transform
388(10)
Summary
389(1)
Problems
390(8)
State Variables for Continuous-Time Systems
398(45)
State-Variable Modeling
399(4)
Simulation Diagrams
403(5)
Solution of State Equations
408(10)
Laplace-Transform Solution
409(5)
Convolution Solution
414(1)
Infinite Series Solution
415(3)
Properties of the State-Transition Matrix
418(2)
Transfer Functions
420(4)
Stability
422(2)
Similarity Transformations
424(19)
Transformations
424(6)
Properties
430(2)
Summary
432(2)
Problems
434(9)
Discrete-Time Signals and Systems
443(48)
Discrete-Time Signals and Systems
445(5)
Unit Step and Unit Impulse Functions
447(2)
Equivalent Operations
449(1)
Transformations of Discrete-Time Signals
450(9)
Time Transformations
451(5)
Amplitude Transformations
456(3)
Characteristics of Discrete-Time Signals
459(7)
Even and Odd Signals
459(3)
Signals Periodic in n
462(3)
Signals Periodic in Ω
465(1)
Common Discrete-Time Signals
466(6)
Discrete-Time Systems
472(3)
Interconnecting Systems
473(2)
Properties of Discrete-Time Systems
475(16)
Systems with Memory
475(1)
Invertibility
476(1)
Inverse of a System
477(1)
Causality
477(1)
Stability
478(1)
Time Invariance
478(1)
Linearity
479(2)
Summary
481(2)
Problems
483(8)
Discrete-Time Linear Time-Invariant Systems
491(55)
Impulse Representation of Discrete-Time Signals
492(1)
Convolution for Discrete-Time Systems
493(12)
Properties of Convolution
502(3)
Properties of Discrete-Time LTI Systems
505(5)
Memory
506(1)
Invertibility
506(1)
Causality
506(1)
Stability
507(2)
Unit Step Response
509(1)
Difference-Equation Models
510(8)
Difference-Equation Models
510(2)
Classical Method
512(5)
Solution by Iteration
517(1)
Terms in the Natural Response
518(3)
Stability
519(2)
Block Diagrams
521(6)
Two Standard Forms
523(4)
System Response for Complex-Exponential Inputs
527(19)
Linearity
528(1)
Complex Inputs for LTI Systems
528(5)
Stability
533(1)
Sampled Signals
533(1)
Impulse Response
533(2)
Summary
535(1)
Problems
536(10)
The z-Transform
546(53)
Definitions of z-Transforms
547(2)
Examples
549(6)
Two z-Transforms
549(3)
Digital-Filter Example
552(3)
z-Transforms of Functions
555(4)
Sinusoids
556(3)
z-Transform Properties
559(5)
Real Shifting
559(3)
Initial and Final Values
562(2)
Additional Properties
564(4)
Time Scaling
564(2)
Convolution in Time
566(2)
LTI System Applications
568(11)
Transfer Functions
568(2)
Inverse z-Transform
570(3)
Complex Poles
573(2)
Causality
575(1)
Stability
575(3)
Invertibility
578(1)
Bilateral z-Transform
579(20)
Bilateral Transforms
584(2)
Regions of Convergence
586(1)
Inverse Bilateral Transforms
586(3)
Summary
589(1)
Problems
590(9)
Fourier Transforms of Discrete-Time Signals
599(82)
Discrete-Time Fourier Transform
600(5)
z-Transform
602(3)
Properties of the Discrete-Time Fourier Transform
605(6)
Periodicity
605(1)
Linearity
606(1)
Time Shift
606(1)
Frequency Shift
607(1)
Symmetry
608(1)
Time Reversal
608(1)
Convolution in Time
609(1)
Convolution in Frequency
609(1)
Multiplication by n
610(1)
Parseval's Theorem
610(1)
Discrete-Time Fourier Transform of Periodic Sequences
611(6)
Discrete Fourier Transform
617(10)
Shorthand Notation for the DFT
620(1)
Frequency Resolution of the DFT
621(1)
Validity of the DFT
622(4)
Summary
626(1)
Fast Fourier Transform
627(8)
Decomposition-in-Time Fast Fourier Transform Algorithm
627(5)
Decomposition-in-Frequency Fast Fourier Transform
632(3)
Summary
635(1)
Applications of the Discrete Fourier Transform
635(32)
Calculation of Fourier Transforms
635(11)
Convolution
646(7)
Filtering
653(7)
Correlation
660(6)
Energy Spectral Density Estimation
666(1)
Summary
667(1)
The Discrete Cosine Transform
667(14)
Summary
672(2)
Problems
674(7)
State Variables for Discrete-Time Systems
681(37)
State-Variable Modeling
682(4)
Simulation Diagrams
686(6)
Solution of State Equations
692(7)
Recursive Solution
692(2)
z-Transform Solution
694(5)
Properties of the State Transition Matrix
699(2)
Transfer Functions
701(3)
Stability
703(1)
Similarity Transformations
704(14)
Properties
708(1)
Summary
709(1)
Problems
710(8)
APPENDICES
718(49)
A. Integrals and Trigonometric Identities
718(2)
Integrals
718(1)
Trigonometric Identities
719(1)
B. Leibnitz's and L'Hopital's Rules
720(2)
Leibnitz's Rule
720(1)
L'Hopital's Rule
721(1)
C. Summation Formulas for Geometric Series
722(1)
D. Complex Numbers and Euler's Relation
723(7)
Complex-Number Arithmetic
724(3)
Euler's Relation
727(1)
Conversion Between Forms
728(2)
E. Solution of Differential Equations
730(4)
Complementary Function
730(1)
Particular Solution
731(1)
General Solution
732(1)
Repeated Roots
732(2)
F. Partial-Fraction Expansions
734(3)
G. Review of Matrices
737(7)
Algebra of Matrices
741(1)
Other Relationships
742(2)
H. Answers to Selected Problems
744(18)
I. Signals and Systems References
762(5)
Index 767