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Signals and Systems, 2nd Edition

Alan V. Oppenheim, Massachusetts Institute of Technology

Alan S. Willsky, Massachusetts Institute of Technology

with S. Hamid, Boston University

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Overview

Description

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.

Features

Develops continuous-time and discrete-time concepts in parallel -- highlighting the similarities and differences. E.g.:
- Ch. 1 on basic signals and system properties, Ch. 2 on linear time-invariant systems, and Ch. 3 on Fourier series representation each develop the continuous-time and discrete-time concepts in parallel. Pg.___
- Ch. 9 on the Laplace Transform and Ch. 10 on the Z-transform deal with the two domains separately, but often draw parallels between results in the two domains. Pg.___

Introduces some of the important uses of the basic methods that are developed -- e.g., filtering, communication, sampling, discrete-time processing of continuous-time signals, and feedback. Pg.___

Includes an up-to-date bibliography. Pg.___

A companion book contains MATLAB-based computer exercises for each topic in the text. Pg.___

Material on Fourier analysis has been reorganized significantly to provide an easier path for the student to master and appreciate the importance of this topic. Now represented in four chapters, each of which is far more streamlined and focused, introducing a smaller and more cohesive set of topics. This will greatly enhance the students ability to organize their understanding of the material.

Frequency-domain filtering is introduced very early in the development to provide a central and concrete illustration of why this topic is important and to provide some intuition with a minimal amount of mathematical preliminaries. The students will be able to see why this topic is so important and gain some intuition which will enhance his or her appreciation of the developments that follow.

Much of the advanced material that had appeared in the Fourier transform chapters in the first edition have now been pulled together into the time and frequency domain chapter, so that only the basic concepts are introduced in these chapters; and provide a more cohesive treatment of time and frequency domain issues.

Relocates coverage of Sampling before Communication.
- Allows instructor and students to discuss important forms of communication, namely those involving discrete or digital signals, in which sampling concepts are intimately involved. Pg.___

Includes significantly more worked examples. Pg.___

Provides over 600 chapter-end problems, -- 20 per chapter, with answers (not solutions). Pg.___

Features a majority of new chapter-end problems.

Chapter-end Problems have been reorganized and assembled to aid the student and instructor. They provide a better balance between exercises developing basic skills and understanding ones that pursue more advanced problem-solving skills. New edition organizes chapter-end problems into four types of sections which makes it easier for the instructor and student to locate the problems that will best serve their purposes; and provides two types of basic problems, ones with answers (but not solutions); and ones with solutions to provide immediate feedback to the student while attempting to master the material. The four types of chapter-end problems are--
- Basic Problems with Answers. Pg.___
- Basic Problems. Pg.___
- Advanced Problems. Pg.___
- Extension Problems. Pg.___

A Historical Perspective. The Response of LTI Systems to Complex Exponentials. Fourier Series Representation of Continuous-Time Periodic Signals. Convergence of the Fourier Series. Properties of Continuous-Time Fourier Series. Fourier Series Representation of Discrete-Time Periodic Signals. Properties of Discrete-Time Fourier Series. Fourier Series and LTI Systems. Filtering. Examples of Continuous-Time Filters Described by Differential Equations. Examples of Discrete-Time Filters Described by Difference Equations.

4. The Continuous-Time Fourier Transform.

Representation of Aperiodic Signals: The Continuous-Time Fourier Transform. The Fourier Transform for Periodic Signals. Properties of the Continuous-Time Fourier Transform. The Convolution Property. The Multiplication Property. Tables of Fourier Properties and Basic Fourier Transform Pairs. Systems Characterized by Linear Constant-Coefficient Differential Equations.

5. The Discrete-Time Fourier Transform.

Representation of Aperiodic Signals: The Discrete-Time Fourier Transform. The Fourier Transform for Periodic Signals. Properties of the Discrete-Time Fourier Transform. The Convolution Property. The Multiplication Property. Tables of Fourier Transform Properties and Basic Fourier Transform Pairs. Duality. Systems Characterized by Linear Constant-Coefficient Difference Equations.

6. Time- and Frequency Characterization of Signals and Systems.

The Magnitude-Phase Representation of the Fourier Transform. The Magnitude-Phase Representation of the Frequency Response of LTI Systems. Time-Domain Properties of Ideal Frequency-Selective Filters. Time- Domain and Frequency-Domain Aspects of Nonideal Filters. First-Order and Second-Order Continuous-Time Systems. First-Order and Second-Order Discrete-Time Systems. Examples of Time- and Frequency-Domain Analysis of Systems.

7. Sampling.

Representation of a Continuous-Time Signal by Its Samples: The Sampling Theorem. Reconstruction of a Signal from Its Samples Using Interpolation. The Effect of Undersampling: Aliasing. Discrete-Time Processing of Continuous-Time Signals. Sampling of Discrete-Time Signals.

8. Communication Systems.

Complex Exponential and Sinusoidal Amplitude Modulation. Demodulation for Sinusoidal AM. Frequency-Division Multiplexing. Single-Sideband Sinusoidal Amplitude Modulation. Amplitude Modulation with a Pulse-Train Carrier. Pulse-Amplitude Modulation. Sinusoidal Frequency Modulation. Discrete-Time Modulation.

9. The Laplace Transform.

The Laplace Transform. The Region of Convergence for Laplace Transforms. The Inverse Laplace Transform. Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot. Properties of the Laplace Transform. Some Laplace Transform Pairs. Analysis and Characterization of LTI Systems Using the Laplace Transform. System Function Algebra and Block Diagram Representations. The Unilateral Laplace Transform.

10. The Z-Transform.

The z-Transform. The Region of Convergence for the z-Transform. The Inverse z-Transform. Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot. Properties of the z-Transform. Some Common z-Transform Pairs. Analysis and Characterization of LTI Systems Using z-Transforms. System Function Algebra and Block Diagram Representations. The Unilateral z-Transforms.

11. Linear Feedback Systems.

Linear Feedback Systems. Some Applications and Consequences of Feedback. Root-Locus Analysis of Linear Feedback Systems. The Nyquist Stability Criterion. Gain and Phase Margins.

Appendix: Partial-Fraction Expansion.

Bibliography.

Answers.

Index.

Resources

Instructor Resources

Format	Paper
ISBN-13:	9780136169390
Availability	Available

Download Instructor's Solutions Manual (application/zip) (75.0MB)

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Digital

Paper

Pearson book cover — Signals and Systems, 2nd Edition

Oppenheim, Willsky & Hamid

©1997 | Pearson | 1000 pp

Format	Cloth
ISBN-13:	9780138147570
Suggested retail price	$246.65
Availability	Available

Previous editions

book cover — Signals and Systems

Oppenheim

©1983

Cloth

Relevant Courses

Signals and Systems (Electrical & Computing Engineering)