Signal Processing and Linear Systems – B. P. Lathi – 1st Edition

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