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Table of contents:
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.
Contents:
(NOTE: Each chapter begins with an Introduction and concludes with a Summary.) 1
Signals and Systems
Continuous-Time and Discrete-Time Signals
Transformations of the Independent Variable
Exponential and Sinusoidal Signals
The Unit Impulse and Unit Step Functions
Continuous-Time and Discrete-Time Systems
Basic System Properties
2
Linear Time-Invariant Systems
Discrete-Time LTI Systems: The Convolution Sum
Continuous-Time LTI Systems: The Convolution Integral
Properties of Linear Time-Invariant 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 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.
Brief Description:
Useful for undergraduate-level courses in Signals and Systems, this text explores signals and systems by developing continuous-time and discrete-time concepts/methods in parallel. It highlights similarities and differences and features introductory treatments of applications of these methods in such areas as filtering, communication, and sampling.
For Pricing and Availability Click Here
|