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Introduction to Signals and Systems Analysis

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ISBN-10: 0534466060

ISBN-13: 9780534466060

Edition: 2009

Authors: Kaliappan Gopalan

List price: $215.95
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Description:

The approach taken in Gopalan's text is to introduce students to the concepts and mathematical tools necessary to understand and appreciate the wide array of exciting fields in Electrical Engineering such as signal processing, control systems, and communications. The book is structured to introduce the basic continuous-time signal and system analysis concepts as an extension of familiar circuit analysis methods. A strong theoretical foundation for signal analysis is built, leading students to successfully discuss the various system analysis methods used in practice today. Use of MATLAB with appropriate examples has been integrated throughout the book.
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Book details

List price: $215.95
Copyright year: 2009
Publisher: Course Technology
Publication date: 10/1/2008
Binding: Hardcover
Pages: 655
Size: 8.25" wide x 9.25" long x 1.00" tall
Weight: 2.750
Language: English

Introduction
Basic Definitions
Classification of Signals and Systems
Frequency spectrum in Signal and System Analysis
Scope of the Text Summary Further Reading Problems
Mathematical Modeling and Properties of Basic Signals and Systems Introduction
Mathematical Modeling of Systems and Signals
Basic Signal Operations and Properties
Basic CT Signals
Basic DT Signals
Basic System Properties
Frequency Response and CT Filters
Discretization of CT Signal and System Models
Linearization of Nonlinear Systems Summary Key Equations Further Reading Problems
Continuous-Time System Analysis in Time Domain Introduction
Impulse-Response Characterization and the Convolution Integral for CT LTI Systems
Step and Other Causal Signal Responses of CT LTI Systems
Properties of Convolution
LTI System Properties from Impulse Response
Obtaining the Impulse Response of CT LTI Systems
System Analysis from a Linear Differential-Equation Model
CT System Response to Complex and Real Sinusoids and the system Function
Block Diagram Representation for System Simulation Summary Key Equations Problems
Discrete-Time System Analysis in the Time Domain - The Convolution Summation and Classical Analysis Introduction
Impulse Response Characterization and the Convolution Summation
Step and Other Causal Signal Response of DT LTI Systems
Properties of the Convolution Summation
Obtaining the Impulse Response of DT LTI Systems
LTI System Properties from Impulse Response
System Analysis from the Difference-Equation Model
Forced Response to Complex and Real Sinusoids and the System Function
Block Diagram Representation for System Simulation Summary Key Equations Further Reading Problems
Frequency Domain Analysis of CT Signals and Systems - The Fourier Series and the Fourier Transform Analysis Introduction
Representation of Signals using Basic Functions
Representation of Periodic Functions - The Exponential Fourier Series
Existence of Fourier Series
Other Forms of Fourier Series
Frequency Spectrum of Periodic Signals
Fourier Series Properties
Fourier Series Representation of an Ideal Impulse Train
System Analysis for Nonsinusoidal Periodic Inputs
Frequency Spectrum of Aperiodic Signals - The Fourier Transform
Existence of Fourier Transform
Fourier Transform of Basic Signals
Fourier Transform Properties
LTI System Analysis in the Frequency Domain
Ideal and Practical Filters Summary Key Equations Further Reading Problems
System Analysis Using the Laplace Transform Introduction
The Bilateral and Unilateral Laplace Transforms
Laplace Transforms of Basic Signals
Laplace Transform Properties
Relationship between Fourier and Laplace Transforms
The Inverse Laplace Transform
Applications of the Laplace Transform in Solving Differential Equations
LTI System Transfer Functions
System Response and Stability from Transfer Functions
Step Response of Stable Systems
Sinusoidal Response of Stable Systems and the Frequency Response
Bode Plots
System Simulation Summary Key Equations Further Reading Problems
The z Transform and Discrete-Time System Analysis Introduction
The z-Transform
Convergence of the z-Transform
Basic z-Transforms
Properties of the z-Transform
Right and Left Shifted Signals
Multiplication by an Exponential Signal
Differentiation in the z-Domain
Accumulation
Convolution of Signals
Initial Value
Time Reversal
The Inverse z-Transform
Pole-Zero Plots and Inverse of Rational Functions of z
Inverse z-Transform from a Power Series Expansion
Solving Difference Equations using z-Transforms
DT LTI System Characterization
DT LTI System Transfer Functions from Impulse-Response Characterization
Transfer Functions from Difference-Equation Models
System Properties and Modes from H(z)
Frequency Response of DT Systems
Representation of Discrete-Time Systems for Implementation
The z-Transform of Sampled Signals - Relationship to the Laplace Transform Summary Key Equations Further Reading Problems
Frequency Domain Analysis of DT Signals and Systems - The DTFT and DFT Analysis Introduction
Spectrum of Sampled Signals and the Sampling Theorem
Aliasing
Signal Reconstruction
The Discrete-Time Fourier Transform
Properties of the Discrete-Time Fourier Transform
Frequency Domain Analysis of DT Systems
Discrete Fourier Transform and its Properties
Applications of the DFT in Signal and System Analysis Summary Key Equations Further Reading Problems
State Variable Analysis of Continuous and Discrete-Time Systems Introduction
State Variable Representation of CT Systems
Construction of State-Variable Models from System Configurations
Conversion of Differential-Equation Models to State-Variable Models
Obtaining State-Variable Models from Block Diagrams and Transfer Functions
System Analysis in Time and s-Domains Using State-Variable Models
MATLAB Applications
State Variable Representation and Analysis of DT Systems
Obtaining STate-Variable Models from Block Diagrams
Conversion of Transfer-Function and Difference-Equation Models to State-Variable Models
System Analysis in Time and z-Domains Using State Variable Models
MATLAB Applications Summary Key Equations Further Reading Problems
Appendix
Complex Numbers
Some Useful Mathematical Operations
Basic Matrix Operations
Mathematical Tables
Index