Signal Processing and Linear Systems
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 filtering as 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 to enhance 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.
- Hardback | 860 pages
- 182.88 x 254 x 43.2mm | 1,632.92g
- 27 Feb 2003
- Oxford University Press Inc
- New York, United States
- numerous line figures and halftones
Table of contents
BACKGROUND; B.1 Complex Numbers; B.2 Sinusoids; B.3 Sketching Signals; B.4 Cramer's Rule; B.5 Partial Fraction Expansion; B.6 Vectors and Matrices; B.7 Miscellaneous; CHAPTER 1. INTRODUCTION TO SIGNALS AND SYSTEMS; 1.1 Size of a Signal; 1.2 Classification of Signals; 1.3 Some Useful Signal Operations; 1.4 Some Useful Signal Models; 1.5 Even and Odd Functions; 1.6 Systems; 1.7 Classification of Systems; 1.8 System Model: Input-Output Description; CHAPTER 2. TIME-DOMAIN ANALYSIS OF CONTINUOUS-TIME SYSTEMS; 2.1 Introduction; 2.2 System Response to Internal Conditions: Zero-Input Response; 2.3 The Unit Impulse Response h(t); 2.4 System Response to External Input: Zero-State Response; 2.5 Classical Solution of Differential Equations; 2.6 System Stability; 2.7 Intuitive Insights into System Behavior; 2.8 Appendix 2.1: Determining the Impulse Response; CHAPTER 3. SIGNAL REPRESENTATION BY FOURIER SERIES; 3.1 Signals and Vectors; 3.2 Signal Comparison: Correlation; 3.3 Signal Representation by Orthogonal Signal Set; 3.4 Trigonometric Fourier Series; 3.5 Exponential Fourier Series; 3.6 Numerical Computation of D[n; 3.7 LTIC System response to Periodic Inputs; 3.8 Appendix; CHAPTER 4. CONTINUOUS-TIME SIGNAL ANALYSIS: THE FOURIER TRANSFORM; 4.1 Aperiodic Signal Representation by Fourier Integral; 4.2 Transform of Some Useful Functions; 4.3 Some Properties of the Fourier Transform; 4.4 Signal Transmission through LTIC Systems; 4.5 Ideal and Practical Filters; 4.6 Signal Energy; 4.7 Application to Communications: Amplitude Modulation; 4.8 Angle Modulation; 4.9 Data Truncation: Window Functions; CHAPTER 5. SAMPLING; 5.1 The Sampling Theorem; 5.2 Numerical Computation of Fourier Transform: The Discrete Fourier Transform (DFT); 5.3 The Fast Fourier Transform (FFT); 5.4 Appendix 5.1; CHAPTER 6. CONTINUOUS-TIME SYSTEM ANALYSIS USING THE LAPLACE TRANSFORM; 6.1 The Laplace Transform; 6.2 Some Properties of the Laplace Transform; 6.3 Solution of Differential and Integro-Differential Equations; 6.4 Analysis of Electrical Networks: The Transformed Network; 6.5 Block Diagrams; 6.6 System Realization; 6.7 Application to Feedback and Controls; 6.8 The Bilateral Laplace Transform; 6.9 Appendix 6.1: Second Canonical Realization; CHAPTER 7. FREQUENCY RESPONSE AND ANALOG FILTERS; 7.1 Frequency Response of an LTIC System; 7.2 Bode Plots; 7.3 Control System Design Using Frequency Response; 7.4 Filter Design by Placement of Poles and Zeros of H(s); 7.5 Butterworth Filters; 7.6 Chebyshev Filters; 7.7 Frequency Transformations; 7.8 Filters to Satisfy Distortionless Transmission Conditions; CHAPTER 8. DISCRETE-TIME SIGNALS AND SYSTEMS; 8.1 Introduction; 8.2 Some Useful Discrete-Time Signal Models; 8.3 Sampling Continuous-Time Sinusoids and Aliasing; 8.4 Useful Signal Operations; 8.5 Examples of Discrete-Time Systems; CHAPTER 9. TIME-DOMAIN ANALYSIS OF DISCRETE-TIME SYSTEMS; 9.1 Discrete-Time System Equations; 9.2 System Response to Internal Conditions: Zero-Input Response; 9.3 Unit Impulse Response h[k]; 9.4 System Response to External Input: Zero-State Response; 9.5 Classical Solution of Linear Difference Equations; 9.6 System Stability; 9.7 Appendix 9.1: Determining Impulse Response; CHAPTER 10. FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS; 10.1 Periodic Signal Representation by Discrete-Time Fourier Series; 10.2 Aperiodic Signal Representation by Fourier Integral; 10.3 Properties of DTFT; 10.4 DTFT Connection with the Continuous-Time Fourier Transform; 10.5 Discrete-Time Linear System Analysis by DTFT; 10.6 Signal Processing Using DFT and FFT; 10.7 Generalization of DTFT to the Z-Transform; CHAPTER 11. DISCRETE-TIME SYSTEM ANALYSIS USING THE Z-TRANSFORM; 11.1 The Z-Transform; 11.2 Some Properties of the Z-Transform; 11.3 Z-Transform Solution of Linear Difference Equations; 11.4 System Realization; 11.5 Connection Between the Laplace and the Z-Transform; 11.6 Sampled-Data (Hybrid) Systems; 11.7 The Bilateral Z-Transform; CHAPTER 12. FREQUENCY RESPONSE AND DIGITAL FILTERS; 12.1 Frequency Response of Discrete-Time Systems; 12.2 Frequency Response From Pole-Zero Location; 12.3 Digital Filters; 12.4 Filter Design Criteria; 12.5 Recursive Filter Design: The Impulse Invariance Method; 12.6 Recursive Filter Design: The Bilinear Transformation Method; 12.7 Nonrecursive Filters; 12.8 Nonrecursive Filter Design; CHAPTER 13. STATE-SPACE ANALYSIS; 13.1 Introduction; 13.2 Systematic Procedure for Determining State Equations; 13.3 Solution of State Equations; 13.4 Linear Transformation of State Vector; 13.5 Controllability and Observability; 13.6 State-Space Analysis of Discrete-Time Systems; ANSWERS TO SELECTED PROBLEMS; SUPPLEMENTARY READING; INDEX; Each chapter ends with a Summary
About B. P. Lathi
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.