# Signals and Systems with MATLAB Applications

Orchard Publications, 2003 - Computers - 598 pages
This text contains a comprehensive discussion of continuous and discrete time signals and systems with many examples from MATLAB--software used to write efficient, compact programs to solve electrical and computer engineering problems of varying complexity. Intended for junior- and senior-level electrical engineering students and for self-study by working professionals, it discusses Laplace transformation and circuit analysis, impulse response, Fourier series, Z transform, and the Discrete Fourier transform and FFT. Solutions to all exercises are included in this revised edition.

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### Contents

 The Laplace Transform of Common Functions of Time 212 13 The Laplace Transform of Common Waveforms 223 27 Exercises 622 34 Solutions to Exercises 237 43 Alternate Method of Partial Fraction Expansion 315 19 Exercises 320 21 Solutions to Exercises 624 22 Chapter 4 4
 Chapter 8 8 Chapter 9 9 Fourier Transform Pairs of Common Functions 817 23 The System Function and Applications to Circuit Analysis 834 41 Discrete Time Systems and the Z Transform 1 Transform of Common Discrete Time Functions 911 19 The Transfer Function of Discrete Time Systems 938 41 Exercises 952 57

 Complex Admittance Ys 410 11 Summary 416 17 Exercises 418 23 Chapter 5 1 Solution of Single State Equations 7 Summary 1169 11 The State Transition Matrix 13 Eigenvectors 518 19 Circuit Analysis with State Variables 522 27 Relationship between State Equations and Laplace Transform 528 33 Exercises 539 41 Chapter 7 3 Chapter 6 6 Fourier Series 1 Waveforms in Trigonometric Form of Fourier Series 711 15 Circuit Analysis with Trigonometric Fourier Series 729 29 Computation of Average Power from Fourier Series 742 43
 The Discrete Fourier Transform DFT 101 71 The Fast Fourier Transform FFT 1017 87 Chapter 11 1 Graphical Evaluation of the Convolution Integral 6 Design of Type I Chebyshev Analog LowPass Filters 1122 27 HighPass BandPass and BandElimination Filters 1139 45 Signals and Systems with MATLAB Applications Second Edition 70 Exercises 1173 73 Appendix 1 Subplots A18 18 Appendix 33 Cramers Rule C16 1 Special Forms of Matrices 5 Gaussian Elimination Method C19 19 Signals and Systems with MATLAB Applications Second Edition 28 Copyright

### About the author (2003)

Steven Karris, M.S.E.E., P.E., has more than 30 years of professional engineering experience in government and industry. He is an adjunct professor at the University of California-Berkeley.