Signal Processing and Linear Systems

by Lathi, B. P.

• ISBN13: 9780195219173
• ISBN10: 0195219171
• Edition: 1st
• Format: Hardcover
• Copyright: 2000-02-24
• Publisher: Oxford University Press

Summary

This text presents a comprehensive treatment of signal processing and linear systems suitable for juniors and seniors in electrical engineering. Based on B. P. Lathi's widely used book, Linear Systems and Signals, it features additional applications to communications, controls, and filteringas well as new chapters on analog and digital filters and digital signal processing. Lathi emphasizes the physical appreciation of concepts rather than the mere mathematical manipulation of symbols. Avoiding the tendency to treat engineering as a branch of applied mathematics, he uses mathematics toenhance physical and intuitive understanding of concepts, instead of employing it only to prove axiomatic theory. Theoretical results are supported by carefully chosen examples and analogies, allowing students to intuitively discover meaning for themselves.

Author Biography

B.P. Lathi is currently a Professor of Electrical Engineering at California State University at Sacramento. He holds a B.S. degree from the University of Poona, India, an M.S.E.E. from the University of Illinois, and a Ph.D.E.E. from Stanford University.

Table of Contents

Background

Complex Numbers

Sinusoids

Sketching Signals

Cramer''s Rule

Partial Fraction Expansion

Vectors and Matrices

Miscellaneous

Introduction to Signals and Systems

Size of a Signal

Classification of Signals

Some Useful Signal Operations

Some Useful Signal Models

Even and Odd Functions

Systems

Classification of Systems

System Model: Input-Output Description

Time-Domain Analysis of Continuous-Time Systems

Introduction

System Response to Internal Conditions: 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

Signal Representation by Fourier Series

Signals and Vectors

Signal Comparison: Correlation

Signal Representation by Orthogonal Signal Set

Trigonometric Fourier Series

Exponential Fourier Series

Numerical Computation of Dn

LTIC System response to Periodic Inputs

Appendix

Continuous-Time Signal Analysis: The Fourier Transform

Aperiodic Signal Representation by Fourier Integral

Transform 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

Angle Modulation

Data Truncation: Window Functions

Sampling

The Sampling Theorem

Numerical Computation of Fourier Transform: The Discrete Fourier Transform(DFT)

The Fast Fourier Transform (FFT)

Appendix 5.1

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

The Bilateral Laplace Transform

Appendix 6.1: Second Canonical Realization

Frequency Response and Analog Filters

Frequency Response of an LTIC System

Bode Plots

Control System Design Using Frequency Response

Filter Design by Placement of Poles and Zeros of H(s)

Butterworth Filters

Chebyshev Filters

Frequency Transformations

Filters to Satisfy Distortionless Transmission Conditions

Discrete-Time Signals and Systems

Introduction

Some Useful Discrete-Time Signal Models

Sampling Continuous-Time Sinusoids and Aliasing

Useful Signal Operations

Examples of Discrete-Time Systems

Time-Domain Analysis of Discrete-Time Systems

Discrete-Time System Equations

System Response to Internal Conditions: Zero-Input Response

Unit Impulse Response h[k]

System Response to External Input: Zero-State Response

Classical Solution of Linear Difference Equations

System Stability

Appendix 9.1: Determining Impulse Response

Fourier Analysis of Discrete-Time Signals

Periodic Signal Representation by Discrete-Time Fourier Series

Aperiodic Signal Representation by Fourier Integral

Properties of DTFT

DTFT Connection with the Continuous-Time Fourier Transform

Discrete-Time Linear System Analysis by DTFT

Signal Processing Using DFT and FFT

Generalization of DTFT to the Z-Transform

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

Connection Between the Laplace and the Z-Transform

Sampled-Data (Hybrid) Systems

The Bilateral Z-Transform

Frequency Response and Digital Filters

Frequency Response of Discrete-Time Systems

Frequency Response From Pole-Zero Location

Digi

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