Signals and Systems, 2nd edition


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Signals and Systems
ISBN13: 9780138147570
Hardcover

Overview
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:
 Develops continuoustime and discretetime concepts in parallel — highlighting the similarities and differences. E.g.:
 Ch. 1 on basic signals and system properties, Ch. 2 on linear timeinvariant systems, and Ch. 3 on Fourier series representation each develop the continuoustime and discretetime concepts in parallel.
 Ch. 9 on the Laplace Transform and Ch. 10 on the Ztransform deal with the two domains separately, but often draw parallels between results in the two domains.
 Introduces some of the important uses of the basic methods that are developed — e.g., filtering, communication, sampling, discretetime processing of continuoustime signals, and feedback.
 NEW—A companion book contains MATLABbased computer exercises for each topic.
 NEW—Material on Fourier analysis has been reorganized significantly to provide an easier path for the reader 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.
 NEW—Frequencydomain 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.
 NEW—Relocates coverage of Sampling before Communication. * Allows for discussion of important forms of communication, namely those involving discrete or digital signals, in which sampling concepts are intimately involved.
 NEW—Chapterend Problems
 They provide a better balance between exercises developing basic skills and understanding ones that pursue more advanced problemsolving skills. The new edition organizes chapterend problems into four types of sections which makes it easier for the reader 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, while attempting to master the material.
 Basic Problems with Answers.
 Basic Problems.
 Advanced Problems.
 Extension Problems.
The four types of chapterend problems are—
Table of contents
(NOTE: Each chapter begins with an Introduction and concludes with a Summary.)
1. Signals and Systems.
2. Linear TimeInvariant Systems.
3. Fourier Series Representation of Periodic Signals.
4. The ContinuousTime Fourier Transform.
5. The DiscreteTime Fourier Transform.
6. Time and Frequency Characterization of Signals and Systems.
7. Sampling.
8. Communication Systems.
9. The Laplace Transform.
10. The ZTransform.
11. Linear Feedback Systems.
Appendix: PartialFraction Expansion.
Bibliography.
Answers.
Index.
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.
Index.
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