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Preface to The Second Edition
Preface to The First Edition
To the Student
Contents
Chapter 1. Signals and Systems
1.1 Introduction
1.2 Signals and Classification of Signals
1.3 Basic Continuous-Time Signals
1.4 Basic Discrete-Time Signals
1.5 Systems and Classification of Systems
Solved Problems
Chapter 2. Linear Time-Invariant Systems
2.1 Introduction
2.2 Response of a Continuous-Time LTI System and the Convolution Integral
2.3 Properties of Continuous-Time LTI Systems
2.4 Eigenfunctions of Continuous-Time LTI Systems
2.5 Systems Described by Differential Equations
2.6 Response of a Discrete-Time LTI System and Convolution Sum
2.7 Properties of Discrete-Time LTI Systems
2.8 Eigenfunctions of Discrete-Time LTI Systems
2.9 Systems Described by Difference Equations
Solved Problems
Chapter 3. Laplace Transform and Continuous-Time LTI Systems
3.1 Introduction
3.2 The Laplace Transform
3.3 Laplace Transforms of Some Common Signals
3.4 Properties of the Laplace Transform
3.5 The Inverse Laplace Transform
3.6 The System Function
3.7 The Unilateral Laplace Transform
Solved Problems
Chapter 4. The z-Transform and Discrete-Time LTI Systems
4.1 Introduction
4.2 The z-Transform
4.3 z-Transforms of Some Common Sequences
4.4 Properties of the z-Transform
4.5 The Inverse z-Transform
4.6 The System Function of Discrete-Time LTI Systems
4.7 The Unilateral z-Transform
Solved Problems
Chapter 5. Fourier Analysis of Continuous-Time Signals and Systems
5.1 Introduction
5.2 Fourier Series Representation of Periodic Signals
5.3 The Fourier Transform
5.4 Properties of the Continuous-Time Fourier Transform
5.5 The Frequency Response of Continuous-Time LTI Systems
5.6 Filtering
5.7 Bandwidth
Solved Problems
Chapter 6. Fourier Analysis of Discrete-Time Signals and Systems
6.1 Introduction
6.2 Discrete Fourier Series
6.3 The Fourier Transform
6.4 Properties of the Fourier Transform
6.5 The Frequency Response of Discrete-Time LTI Systems
6.6 System Response to Sampled Continuous-Time Sinusoids
6.7 Simulation
6.8 The Discrete Fourier Transform
Solved Problems
Chapter 7. State Space Analysis
7.1 Introduction
7.2 The Concept of State
7.3 State Space Representation of Discrete-Time LTI Systems
7.4 State Space Representation of Continuous-Time LTI Systems
7.5 Solutions of State Equations for Discrete-Time LTI Systems
7.6 Solutions of State Equations for Continuous-Time LTI Systems
Solved Problems
Chapter 8. Random Signals
8.1 Introduction
8.2 Random Processes
8.3 Statistics of Random Processes
8.4 Gaussian Random Process
Solved Problems
Chapter 9. Power Spectral Density and Random Signals in Linear System
9.1 Introduction
9.2 Correlations and Power Spectral Densities
9.3 White Noise
9.4 Response of Linear System to Random Input
Solved Problems
Appendix A. Review of Matrix Theory
A.1 Matrix Notation and Operations
A.2 Transpose and Inverse
A.3 Linear Independence and Rank
A.4 Determinants
A.5 Eigenvalues and Eigenvectors
A.6 Diagonalization and Similarity Transformation
A.7 Functions of a Matrix
A.8 Differentiation and Integration of Matrices
Appendix B. Review of Probability
B.1 Probability
B.2 Random Variables
B.3 Two-Dimensional Random Variables
B.4 Functions of Random Variables
B.5 Statistical Averages
Appendix C. Properties of Linear Time-Invariant Systems and Various Transforms
C.1 Continuous-Time LTI Systems
C.2 The Laplace Transform
C.3 The Fourier Transform
C.4 Discrete-Time LTI Systems
C.5 The z-Transform
C.6 The Discrete-Time Fourier Transform
C.7 The Discrete Fourier Transform
C.8 Fourier Series
C.9 Discrete Fourier Series
Appendix D. Review of Complex Numbers
D.1 Representation of Complex Numbers
D.2 Addition, Multiplication, and Division
D.3 The Complex Conjugate
D.4 Powers and Roots of Complex Numbers
Appendix E. Useful Mathematical Formulas
E.1 Summation Formulas
E.2 Euler's Formulas
E.3 Trigonometric Identities
E.4 Power Series Expansions
E.5 Exponential and Logarithmic Functions
E.6 Some Definite Integrals
Schaum's Signals and Systems Videos
Schaum's Signals and Systems MATLAB Videos
MATLAB Prints for Online Videos
Index