Linear Systems and Signals / Edition 1

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Overview


B. P. Lathi's trademark strengths as a writer have made this introductory volume a well-established leader in the field of signals and linear systems. His rigorous but clear explanations, engaging writing style, vivid examples, and sensitivity to student needs enliven the subject in a comfortable non-threatening way. Now published by Oxford University Press, Linear Systems and Signals provides a comprehensive treatment of the subject and encourages students to discover information and principles on their own. Lathi uses mathematics to enhance physical and intuitive understanding, instead of merely employing it to prove axiomatic theory. The book is conveniently organized into five parts that allow flexibility in teaching discrete-time and continuous-time systems. An accompanying solutions manual is available on CD-ROM.
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Product Details

  • ISBN-13: 9780195151299
  • Publisher: Oxford University Press, USA
  • Publication date: 10/1/1901
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 672
  • Product dimensions: 9.80 (w) x 7.10 (h) x 1.40 (d)

Table of Contents

Preface
Pt. I Introduction
Background 3
1 Introduction to Systems 69
Signals and Systems 69
Classification of Systems 72
System Model: Input-output Description 82
Simultaneous Differential Equations 90
Internal and External Description of a System 92
State-Space Description of a System 96
Pt. II Time-Domain Analysis of LTI Systems
2 Time-Domain Analysis: Continuous-Time Systems 105
System Response to Internal Conditions: Zero-Input response 107
Unit Impulse Function 120
System Response to External Input: Zero-State Response 127
Numerical Convolution 150
System Stability 156
Intuitive Insights In System Behavior 161
Classical Solution of Differential equations 170
App. 2.1 Determining The Impulse Response 177
3 Time-Domain Analysis: Discrete-Time Systems 189
Discrete-Time Systems 189
Discrete-Time System Equations 195
System Response to Internal Conditions: Zero-Input Response 200
Unit Impulse Response h[k] 208
System Response to External Input: Zero-State Response 213
System Stability 223
Intuitive insights in System Behavior 230
Classical Solution of Linear Difference Equations 230
App. 3.1 Determining Impulse Response 235
Pt. III Frequency-Domain (Transform) Analysis of LTI Systems
4 Continuous-Time Systems: Laplace Transform Analysis 249
The Laplace Transform 249
Some Properties of the Laplace Transform 265
Transform Solution of Differential and Integro-Differential Equations 274
Analysis of Electrical Networks: Transformed Network Method 285
Block Diagrams 298
System Realization 303
Frequency-Response of an LTIC System 315
Bilateral Laplace Transform 329
App. 4.1 Second Canonical Realization 337
5 Discrete-Time System: Z-Transform Analysis 353
The Z-Transform 353
Some Properties of the Z-Transform 363
Z-Transform solution of Difference equations 368
System Realization 377
Frequency Response of Discrete-Time Systems 380
Connection Between the Z-Transform and Laplace Transform 396
Bilateral Z-Transform 399
Pt. IV Signal Analysis
6 Continuous-Time Signal Analysis: The Fourier Series 415
Representation of Periodic Signals by Trigonometric Fourier Series 415
Exponential Fourier Series 438
Alternate View of Fourier Representation: Signal-Vector Analogy 449
7 Continuous-Time Signal Analysis: The Fourier Transform 474
Nonperiodic Signal Representation By Fourier Integral 474
Physical Appreciation of the Fourier Transform 480
Transform of Some Useful Functions 484
Some Properties of the Fourier Transform 490
LTI System Analysis by Fourier Transform 506
Signal Distortion During Transmission 508
Ideal and Practical Filters 511
Thinking in Time-Domain and Frequency-Domain: Two-Dimentional View of Signals and Systems 514
Signal Energy 515
Data Truncation: Window Functions 518
8 Sampling 532
The Sampling Theorem 532
Dual of the Sampling Theorem: Spectral Sampling 542
Numerical Computation of Fourier Transform: The Discrete Fourier Transform (DFT) 543
9 Analysis of Discrete-Time Signals 565
Discrete-Time Periodic Signals 565
Nonperiodic Signals: The Discrete-Time Fourier Transform (DTFT) 574
Properties of DTFT 582
LTID System analysis by DTFT 583
Relationships Among Various Transforms 585
Derivation of the Z-Transform Pair 588
Pt. V State-Space Analysis
10 State-Space Analysis 595
Introduction 595
Systematic Procedure for Determining State Equations 598
Solution of State Equations 610
Linear Transformation of State Vector 622
Controllability and Observability 630
State-Space Analysis of Discrete-Time Systems 636
Supplementary Reading 649
Index 651
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