Fundamentals of Signals and Systems Using the Web and MATLAB®

by Kamen, Edward W.; Heck, Bonnie S

• ISBN13: 9780130172938
• ISBN10: 0130172936
• Edition: 3rd
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: PRENTICE HALL

Summary

For a Signals and Systems course in Engineering departments. Developed from Professor Kamen's best-selling text Introduction to Signals and Systems, this forward-looking text presents an accessible yet comprehensive analytical treatment of signals and systems and also incorporates a strong emphasis on solving problems and exploring concepts using MATLAB. A MATLAB tutorial is provided on a disk which is available for student/instructor use, and all examples in the text are developed in terms of the Student Edition of MATLAB ?.

Table of Contents

Preface	xi
Fundamental Concepts	1	(56)
Signals and Systems	1	(5)
Continuous-Time Signals	6	(11)
Discrete-Time Signals	17	(8)
Examples of Systems	25	(11)
Basic System Properties	36	(21)
Problems	47	(10)
Systems Defined by Differential or Difference Equations	57	(44)
Linear Input/Output Differential Equations with Constant Coefficients	57	(4)
System Modeling	61	(5)
Linear Input/Output Difference Equations with Constant Coefficients	66	(6)
Discretization in Time of Differential Equations	72	(8)
Systems Defined by Time-Varying or Nonlinear Equations	80	(21)
Problems	88	(13)
Convolution Representation	101	(44)
Convolution Representation of Linear Time-Invariant Discrete-Time Systems	101	(3)
Convolution of Discrete-Time Signals	104	(10)
Convolution Representation of Linear Time-Invariant Continuous-Time Systems	114	(4)
Convolution of Continuous-Time Signals	118	(10)
Numerical Convolution	128	(4)
Linear Time-Varying Systems	132	(13)
Problems	134	(11)
The Fourier Series and Fourier Transform	145	(57)
Representation of Signals in Terms of Frequency Components	146	(7)
Fourier Series Representation of Periodic Signals	153	(8)
Fourier Transform	161	(14)
Properties of the Fourier Transform	175	(15)
Generalized Fourier Transform	190	(12)
Problems	193	(9)
Frequency-Domain Analysis of Systems	202	(49)
Response to a Sinusoidal Input	203	(7)
Response to Periodic Inputs	210	(6)
Response to Aperiodic Inputs	216	(5)
Analysis of Ideal Filters	221	(10)
Sampling	231	(20)
Problems	238	(13)
Application to Communications	251	(46)
Analog Modulation	252	(8)
Demodulation of Analog Signals	260	(4)
Simultaneous Transmission of Signals	264	(4)
Digital Modulation	268	(4)
Baseband PAM	272	(4)
Passband PAM	276	(6)
Digital Communication Simulations	282	(15)
Problems	289	(8)
Fourier Analysis of Discrete-Time Signals and Systems	297	(61)
Discrete-Time Fourier Transform	298	(12)
Discrete Fourier Transform	310	(12)
Properties of the DFT	322	(9)
System Analysis via the DTFT and DFT	331	(8)
FFT Algorithm	339	(2)
Applications of the FFT Algorithm	341	(17)
Problems	349	(9)
The Laplace Transform and the Transfer Function Representation	358	(77)
Laplace Transform of a Signal	359	(4)
Properties of the Laplace Transform	363	(11)
Computation of the Inverse Laplace Transform	374	(20)
Transfer of the Input/Output Differential Equation	394	(7)
Transfer Function Representation	401	(14)
Transform of Block Diagrams	415	(20)
Problems	423	(12)
System Analysis Using the Transfer Function Representation	435	(74)
Stability and the Impulse Response	436	(3)
Routh-Hurwitz Stability Test	439	(4)
Analysis of the Step Response	443	(16)
Response to Sinusoids and Arbitrary Inputs	459	(6)
Frequency Response Function	465	(19)
Causal Filters	484	(25)
Problems	498	(11)
Application to Control	509	(46)
Introduction to Control	509	(7)
Tracking Control	516	(11)
Root Locus	527	(8)
Application to Control System Design	535	(20)
Problems	543	(12)
The z-Transform and Discrete-Time Systems	555	(57)
z-Transform of a Discrete-Time Signal	556	(4)
Properties of the z-Transform	560	(11)
Computation of the Inverse z-Transform	571	(10)
Transfer Function Representation	581	(12)
Stability of Discrete-Time Systems	593	(4)
Frequency Response of Discrete-Time Systems	597	(15)
Problems	601	(11)
Design of Digital Filters and Controllers	612	(43)
Discretization	613	(5)
Design of IIR Filters	618	(5)
Design of IIR Filters Using MATLAB	623	(7)
Design of FIR Filters	630	(13)
Design of Digital Controllers	643	(12)
Problems	649	(6)
State Representation	655	(48)
State Model	656	(3)
Construction of State Models	659	(8)
Solution of State Equations	667	(9)
Discrete-Time Systems	676	(7)
Equivalent State Representations	683	(6)
Discretization of State Model	689	(14)
Problems	692	(11)
Appendix A Brief Review of Complex Variables	703	(5)
Appendix B Brief Review of Matrices	708	(6)
Bibliography	714	(3)
Index	717