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Linear Systems and Signals

by: Lathi, B. P.

Linear Systems and Signals

by: Lathi, B. P.

ISBN 13:
9780941413343
ISBN 10:
0941413349
Format: Hardcover
Copyright: 01/02/1992
Publisher: Oxford University Press
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Summary

Incorporating new problems and examples, the second edition of Linear Systems and Signals features MATLABRG material in each chapter and at the back of the book. It gives clear descriptions of linear systems and uses mathematics not only to prove axiomatic theory, but also to enhance physicaland intuitive understanding.

Preface
Each chapter ends with a Summary and References.
Each Matlab section ends with Problems.
Background
Complex Numbers
Sinusoids
Sketching Signals
Cramer's Rule
Partial Fraction Expansion
Vectors and Matrices
Miscellaneous
Elementary Operations
Matlab Overview
Calculator Operations
Vector Operations
Simple Plotting
Element-by-Element Operations
Matrix Operations
Partial Fraction Expansions
Signals and Systems
Size of a Signal
Some Useful Signal Operations
Classification of Signals
Some Useful Signal Models
Even and Odd Functions
Systems
Classification of Systems
System Model: Input-Output Description
Internal and External Descriptions of a System
Internal Description: The State-Space Description
Working with Functions
Inline Functions
Relational Operators and the Unit Step Function
Visualizing Operations on the Independent Variable
Numerical Integration and Estimating Signal Energy
Time-Domain Analysis of Continuous-Time Systems
Introduction
System Response to Internal Conditions: The Zero-Input Response
The Unit Impulse Response h(t)
System Response to External Input: Zero-State Response
Classical Solution of Differential Equations
System Stability
Intuitive Insights into System Behavior
Appendix 2.1: Determining the Impulse Response
M-Files
Script M-Files
Function M-Files
For Loops
Graphical Understanding of Convolution
Time-Domain Analysis of Discrete-Time Systems
Introduction
Useful Signal Operations
Some Useful Discrete-Time Signal Models
Examples of Discrete-Time Systems
Discrete-Time System Equations
System Response to Internal Conditions: The Zero-Input Response
The Unit Impulse Response h[n]
System Response to External Input: The Zero-State Response
Classical Solution of Linear Difference Equations
System Stability: The External (BIBO) Stability Criterion
Intuitive Insights into System Behavior
Appendix 3.1: Impulse Response for a Special Case When aN = 0
Discrete-Time Signals and Systems
Discrete-Time Functions and Stem Plots
System Responses Through Filtering
A Custom Filter Function
Discrete-Time Convolution
Continuous-Time System Analysis Using the Laplace Transform
The Laplace Transform
Some Properties of the Laplace Transform
Solution of Differential and Integro-Differential Equations
Analysis of Electrical Networks: The Transformed Network
Block Diagrams
System Realization
Application to Feedback and Controls
Frequency-Response of an LTIC System
Bode Plots
Filter Design by Placement of Poles and Zeros of H(s)
The Bilateral Laplace Transform
Continuous-Time Filters
Frequency Response and Polynomial Evaluation
Design and Evaluation of a Simple RC Filter
A Cascaded RC Filter and Polynomial Expansion
Butterworth Filters and the FIND Command
Butterworth Filter Realization Using Cascaded Second.Order Sections
Chebyshev Filters
Discrete-Time System Analysis Using the z-Transform
The z-Transform
Some Properties of the z-Transform
z-Transform Solution of Linear Difference equations
System Realization
Frequency Response of Discrete-Time Systems
Frequency Response from Pole-Zero Location
Digital Processing of Analog Signals
Connection Between the Laplace and the z-Transform
The Bilateral z-Transform
Discrete-Time IIR Filters
Frequency Response and Pole-Zero Plots
Transformation Basics
Transformation by First-Order Backward Difference
Bilinear Transformation
Bilinear Transformation with Prewarping
Example: Butterworth Filter Transformation
Problems Finding Polynomial Roots
Improved Design Using Cascaded Second-Order Sections
Continuous-Time Signal Analysis: The Fourier Series
Periodic Signal Representation by Trigonometric Fourier Series
Existence and Convergence of the Fourier Series
Exponential Fourier Series
LTIC System Response to Periodic Inputs
Generalized Fourier Series: Signals as Vectors
Numerical Computation of Dn
Fourier Series Applications
Periodic Functions and the Gibbs Phenomenon
Optimization and Phase Spectra
Continuous-Time Signal Analysis: The Fourier Transform
Aperiodic Signal Representation by Fourier Integral
Transforms of Some Useful Functions
Some Properties of the Fourier Transform
Signal Transmission Through LTIC Systems
Ideal and Practical Filters
Signal Energy
Application to Communications: Amplitude Modulation
Data Truncation: Window Functions
Fourier Transform Topics
The Sinc Function and the Scaling Property
Parseval's Theorem and Essential Bandwidth
Spectral Sampling
Kaiser Window Functions
Sampling: The Bridge from Continuous to Discrete
The Sampling Theorem
Signal Reconstruction
Analog-to-Digital (A/D) Conversion
Dual of Time-Sampling: The Spectral Sampling
Numerical Computation of the Fourier Transform: The Discrete Fourier Transform (DFT)
The Fast Fourier Transform (FFT)
The Discrete Fourier Transform
Computing the Discrete Fourier Transform
Improving the Picture with Zero-Padding
Quantization
Fourier Analysis of Discrete-Time Signals
Discrete-Time Fourier Series (DTFS)
Aperiodic Signal Representation by Fourier Integral
Properties of DTFT
LTI Discrete-Time System Analysis by DTFT
DTFT Connection with the CTFT
Generalization of the DTFT and the z-Transform
Working with the DTFS and the DTFT
Computing the Discrete-Time Fourier Series
Measuring Code Performance
FIR Filter Design by Frequency Sampling
State-Space Analysis
Introduction
A Systematic Procedure for Determining State Equations
Solution of State Equations
Linear Transformation of State Vectors
Controllability and Observability
State-Space Analysis of Discrete-Time Systems
Toolboxes and State-Space Analysis
z-Transform Solutions to Discrete-Time State-Space Systems
Transfer Functions from State-Space Representations
Controllability and Observability of Discrete-Time Systems
Matrix Exponentiation and the Matrix Exponential
Index
Table of Contents provided by Publisher. All Rights Reserved.

Amazon no longer offers textbook rentals. We do!

Linear Systems and Signals

Linear Systems and Signals

9780941413343

0941413349

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Linear Systems and Signals

Linear Systems and Signals

9780941413343

0941413349

Summary

Table of Contents

Supplemental Materials

Write a Review

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