For sophomore/junior-level signals and systems courses in Electrical and Computer Engineering departments.
This 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.
- Numerous interactive examples and animated demonstrations that both professors and students can use to enhance learning.
- Over 350 homework problems and over 150 examples
- Problem sets are arranged so that sets of problems relating to a common concept are presented. The answer to at least one problem from each set is provided in an appendix.
- Mathematical theory of systems and signals relates mathematical theory to practical systems
- Provides students with motivation as they readily visualize applications of the theory presented.
- Reinforces students' understanding of concepts by implementing MATLAB examples. Enables students to learn to use MATLAB to assist in solving the end-of-chapter problems.
- Short sections on the bilateral Laplace and z-transforms
- Allows instructors to introduce these topics to their class.
- Repetition of equations referenced
- Saves students time by providing an easy reference
- Verification of results gives students valuable practice in problem solving
- Verification of results requires that almost all problems' results are verified by an independent procedure; this includes, but is not limited to, MATLAB.
- Answer key to selected answers allows students to check their work on selected problems
- Answers to selected problems are provided in the back of the text to enable students to gain instant feedback of their understanding of new concepts.
New to this Edition
- Presentation of the properties of the Fourier transform is revised and rearranged in Chapter 5.
- A new subsection on the design and analysis of active filters is added in Chapter 6.
- Sampling of continuous-time signals and reconstruction of signals from sample data are now collocated in Chapter 6.
- A new subsection on quantization error is added to Chapter 6.
- A new subsection on system step-response calculation and analysis using the Laplace transform is added to Chapter 7.
- A new subsection on system frequency-response calculation and analysis using the z transform is added to Chapter 11.
- A new example, showing frequency-response analysis of a finite-impulse-response (FIR) filter using the discrete-time Fourier transform (DTFT), is added in Chapter 12.
- A new example, showing the use of the discrete Fourier transform (DFT) to implement a FIR filter, is added in Chapter 12.
- Several new examples and MATLAB® applications are provided.
- All end-of-chapter problem sets have been revised. The problems for each chapter are now grouped according to the applicable section of the chapter.
Table of Contents
- 1 Introduction
- 2 Continuous-Time Signals and Systems
- 3 Continuous-Time Linear Time-Invariant Systems
- 4 Fourier Series
- 5 The Fourier Transform
- 6 Applications of the Fourier Transform
- 7 The Laplace Transform
- 8 State Variables for Continuous-Time Systems
- 9 Discrete-Time Signals and Systems
- 10 Discrete-Time Linear Time-Invariant Systems
- 11 The z-Transform
- 12 Fourier Transforms of Discrete-Time Signals
- 13 State Variables for Discrete-Time Systems