Signal Processing and Linear Systems

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

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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

Complex Numbers
Sketching Signals
Cramer''s Rule
Partial Fraction Expansion
Vectors and Matrices
Introduction to Signals and Systems
Size of a Signal
Classification of Signals
Some Useful Signal Operations
Some Useful Signal Models
Even and Odd Functions
Classification of Systems
System Model: Input-Output Description
Time-Domain Analysis of Continuous-Time Systems
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
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
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
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
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