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Signals & Systems 2ND Editionby Alan Oppenheim
Synopses & ReviewsPublisher Comments:This comprehensive exploration of signals and systems develops continuous time and discretetime 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, discretetime processing of continuoustime signals, and feedback. Relatively selfcontained, the book assumes no prior experience with system analysis, convolution, Fourier analysis, or Laplace and ztransforms.
FEATURES:
The four types of chapterend problems are— Book News Annotation:New edition of a text intended primarily for the undergraduate courses on the subject which are frequently found in electrical engineering curriculabut the concepts and techniques it covers are also of fundamental importance in other engineering disciplines. The book is structured to develop in parallel the methods of analysis for continuoustime and discretetime signals and systems, thus allowing exploration of their similarities and differences. Discussion of applications is emphasized, and numerous worked examples are included.
Annotation c. Book News, Inc., Portland, OR (booknews.com) Synopsis: This authoritative book, highly regarded for its intellectual quality and contributions provides a solid foundation and lifelong reference for anyone studying the most important methods of modern signal and system analysis. The major changes of the revision are reorganization of chapter material and the addition of a much wider range of difficulties.
Synopsis:For undergraduatelevel courses in Signals and Systems.This comprehensive exploration of signals and systems develops continuoustime and discretetime 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, discretetime processing of continuoustime signals, and feedback. Relatively selfcontained, the text assumes no prior experience with system analysis, convolution, Fourier analysis, or Laplace and ztransforms.
Table of Contents(NOTE: Each chapter begins with an Introduction and concludes with a Summary.)
1. Signals and Systems.
ContinuousTime and DiscreteTime Signals. Transformations of the Independent Variable. Exponential and Sinusoidal Signals. The Unit Impulse and Unit Step Functions. ContinuousTime and DiscreteTime Systems. Basic System Properties.
2. Linear TimeInvariant Systems.
DiscreteTime LTI Systems: The Convolution Sum. ContinuousTime LTI Systems: The Convolution Integral. Properties of Linear TimeInvariant Systems. Causal LTI Systems Described by Differential and Difference Equations. Singularity Functions.
3. Fourier Series Representation of Periodic Signals.
A Historical Perspective. The Response of LTI Systems to Complex Exponentials. Fourier Series Representation of ContinuousTime Periodic Signals. Convergence of the Fourier Series. Properties of ContinuousTime Fourier Series. Fourier Series Representation of DiscreteTime Periodic Signals. Properties of DiscreteTime Fourier Series. Fourier Series and LTI Systems. Filtering. Examples of ContinuousTime Filters Described by Differential Equations. Examples of DiscreteTime Filters Described by Difference Equations.
4. The ContinuousTime Fourier Transform.
Representation of Aperiodic Signals: The ContinuousTime Fourier Transform. The Fourier Transform for Periodic Signals. Properties of the ContinuousTime Fourier Transform. The Convolution Property. The Multiplication Property. Tables of Fourier Properties and Basic Fourier Transform Pairs. Systems Characterized by Linear ConstantCoefficient Differential Equations.
5. The DiscreteTime Fourier Transform.
Representation of Aperiodic Signals: The DiscreteTime Fourier Transform. The Fourier Transform for Periodic Signals. Properties of the DiscreteTime Fourier Transform. The Convolution Property. The Multiplication Property. Tables of Fourier Transform Properties and Basic Fourier Transform Pairs. Duality. Systems Characterized by Linear ConstantCoefficient Difference Equations.
6. Time and Frequency Characterization of Signals and Systems.
The MagnitudePhase Representation of the Fourier Transform. The MagnitudePhase Representation of the Frequency Response of LTI Systems. TimeDomain Properties of Ideal FrequencySelective Filters. Time Domain and FrequencyDomain Aspects of Nonideal Filters. FirstOrder and SecondOrder ContinuousTime Systems. FirstOrder and SecondOrder DiscreteTime Systems. Examples of Time and FrequencyDomain Analysis of Systems.
7. Sampling.
Representation of a ContinuousTime Signal by Its Samples: The Sampling Theorem. Reconstruction of a Signal from Its Samples Using Interpolation. The Effect of Undersampling: Aliasing. DiscreteTime Processing of ContinuousTime Signals. Sampling of DiscreteTime Signals.
8. Communication Systems.
Complex Exponential and Sinusoidal Amplitude Modulation. Demodulation for Sinusoidal AM. FrequencyDivision Multiplexing. SingleSideband Sinusoidal Amplitude Modulation. Amplitude Modulation with a PulseTrain Carrier. PulseAmplitude Modulation. Sinusoidal Frequency Modulation. DiscreteTime 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 PoleZero 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 ZTransform.
The zTransform. The Region of Convergence for the zTransform. The Inverse zTransform. Geometric Evaluation of the Fourier Transform from the PoleZero Plot. Properties of the zTransform. Some Common zTransform Pairs. Analysis and Characterization of LTI Systems Using zTransforms. System Function Algebra and Block Diagram Representations. The Unilateral zTransforms.
11. Linear Feedback Systems.
Linear Feedback Systems. Some Applications and Consequences of Feedback. RootLocus Analysis of Linear Feedback Systems. The Nyquist Stability Criterion. Gain and Phase Margins.
Appendix: PartialFraction Expansion.
Bibliography.
Answers.
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