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9780131989238

Signals, Systems, and Transforms

by ; ;
  • ISBN13:

    9780131989238

  • ISBN10:

    0131989235

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2007-07-12
  • Publisher: Prentice Hall
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List Price: $211.20

Summary

This book provides a clear, comprehensive presentation of both the theory and applications in signals, systems, and transforms. It presents the mathematical background of signals and systems, including the Fourier transform, the Fourier series, the Laplace transform, the discrete-time and the discrete Fourier transforms, and the z-transform. The book integrates MATLAB examples into the presentation of signal and system theory and applications. For electrical and computer engineers.

Table of Contents

Introduction
Modeling
Continuous-Time Physical Systems
Samplers and Discrete-Time Physical Systems
MATLAB and SIMULINK
Signals and Systems References
Continuous-Time Signals and Systems
Transformations of Continuous-Time Signals
Signal Characteristics
Common Signals in Engineering
Singularity Functions
Mathematical Functions for Signals
Continuous-Time Systems
Properties of Continuous-Time Systems
Continuous-Time Linear Time-Invariant Systems
Impulse Representation of Continuous-Time Signals
Convolution for Continuous-Time LTI Systems
Properties of Convolution
Properties of Continuous-Time LTI Systems
Differential-Equation Models
Terms in the Natural Response
System Response for Complex-Exponential Inputs
Block Diagrams
Fourier Series
Approximating Periodic Functions
Fourier Series
Fourier Series and Frequency Spectra
Properties of Fourier Series
System Analysis
Fourier Series Transformations
The Fourier Transform
Definition of the Fourier Transform
Properties of the Fourier Transform
Fourier Transforms of Time Functions
Fourier Transforms of Sampled Signals
Application of the Fourier Transform
Energy and Power Density Spectra
Applications of the Fourier Transform
Ideal Filters
Real Filters
Bandwidth Relationships
Reconstruction of Signals from Sample Data
Sinusoidal Amplitude Modulation
Pulse-Amplitude Modulation
The Laplace Transform
Definitions of Laplace Transforms
Examples
Laplace Transforms of Functions
Laplace Transform Properties
Additional Properties
Response of LTI Systems
LTI Systems Characteristics
Bilateral Laplace Transform
Relationship of the Laplace Transform to the Fourier Transform
State Variables for Continuous-Time Systems
State-Variable Modeling
Simulation Diagrams
Solution of State Equations
Properties of the State Transition Matrix
Transfer Functions
Similarity Transformations
Discrete-Time Signals and Systems
Discrete-Time Signals and Systems
Transformations of Discrete-Time Signals
Characteristics of Discrete-Time Signals
Common Discrete-Time Signals
Discrete-Time Systems
Properties of Discrete-Time Systems
Discrete-Time Linear Time-Invariant Systems
Impulse Representation of Discrete-Time Signals
Convolution for Discrete-Time LTI Systems
Properties of Discrete-Time LTI Systems
Difference-Equation Models
Terms in the Natural Response
Block Diagrams
System Response for Complex-Exponential Inputs
The z-Transform
Definitions of z-Transforms
Examples
z-Transforms of Functions
z-Transform Properties
Additional Properties
LTI System Applications
Bilateral z-Transform
Fourier Transforms of Discrete-Time Signals
Discrete-Time Fourier Transform
Properties of the Discrete-Time Fourier Transform
Discrete-Time Fourier Transform
Discrete Fourier Transform
Fast Fourier Transform
Applications of the Discrete Fourier Transform
The Discrete Cosine Transform
State Variables for Discrete-Time Systems
State-Variable Modeling
Simulation Diagrams
Solution of State Equations
Properties of the State Transition Matrix
Transfer Functions
Simi
Table of Contents provided by Publisher. All Rights Reserved.

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