Signals and Systems

For undergraduate-level courses in Signals and Systems

This comprehensive exploration of signals and systems develops continuous-time and discrete-time concepts/methods in parallel — highlighting the similarities and differences — and features introductory treatments of the applications of these basic methods in such areas as filtering, communication, sampling, discrete-time processing of continuous-time signals, and feedback. Relatively self-contained, the text assumes no prior experience with system analysis, convolution, Fourier analysis, or Laplace and z-transforms.

Include basic signals and systems concepts, linear time-invariant (LTI) systems, Fourier representations of continuous-time and discrete-time signals, the CT and DT Fourier transforms, and time- and frequency-domain analysis methods. The author emphasizes applications of the theory through numerous examples in filtering, sampling, communications, and feedback. The parallel development of continuous-time and discrete-time frequency domain methods allows the reader to apply insights and intuition across the two domains. It also facilitates a deeper understanding of the material by bringing into focus the similarities and differences between the two domains. The text also includes introductory chapters on communication systems and control theory. This book assumes that you have a background in calculus as well as exposure to complex numbers and elementary differential equations. Because of its thoroughness and unhurried pace, this text is highly recommended for students and those interested in self-study.

Table of Contents

1 Signals and Systems

2 Linear Time-Invariant Systems

3 Fourier Series Representation of Periodic Signals

4 The Continuous-Time Fourier Transform

5 The Discrete-Time Fourier Transform

6 Time and Frequency Characterization of Signals and Systems

7 Sampling

8 Communication Systems

9 The Laplace Transform

10 The z-Transform

11 Linear Feedback Systems

Appendix: Partial-Fraction Expansion