Table of contents for Signal processing and linear systems / B.P. Lathi.


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Counter

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





Library of Congress subject headings for this publication:
Signal processing.
Linear systems.
System analysis.