Fundamentals of Signals and Systems Using the Web and Matlab

目录
1 FUNDAMENTAL CONCEPTS
1.1 Signals and Systems
1.2 Continuous-Time Signals
1.3 Discrete-Time Signals
1.4 Examples of Systems
1.5 Basic System Properties
Problems
2 SYSTEMS DEFINED BY DIFFERENTIAL OR DIFFERENCE EQUATIONS
2.1 Linear Input/Output Differential Equations with Constant Coefficients
2.2 System Modeling
2.3 Linear Input/Output Difference Equations with Constant Coefficients
2.4 Discretization in Time of Differential Equations
2.5 Systems Defined by Time-Varying or Nonlinear Equations
Problems
3 CONVOLUTION REPRESENTATION
3.1 Convolution Representation of Linear Time-Invariant Discrete-Time Systems
3.2 Convolution of Discrete-Time Signals
3.3 Convolution Representation of Linear Time-Invariant Continuous-Time Systems
3.4 Convolution of Continuous-Time Signals
3.5 Numerical Convolution
3.6 Linear Time-Varying Systems
Problems
4 THE FOURIER SERIES AND FOURIER TRANSFORM
4.1 Representation of Signals in Terms of Frequency Components
4.2 Fourier Series Representation of Periodic Signals
4.3 Fourier Transform
4.4 Properties of the Fourier Transform
4.5 Generalized Fourier Transform
Problems
5 FREOUENCY-DOMAIN ANALYSIS OF SYSTEMS
5.1 Response to a Sinusoidal Input
5.2 Response to Periodic Inputs
5.3 Response to Aperiodic Inputs
5.4 Analysis of Ideal Filters
5.5 Sampling
Problems
6 APPLICATION TO COMMUNICATIONS
6.1 Analog Modulation
6.2 Demodulation of Analog Signals
6.3 Simultaneous Transmission of Signals
6.4 Digital Modulation
6.5 Baseband PAM
6.6 Passband PAM
6.7 Digital Communication Simulations
Problems
7 FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS AND SYSTEMS
7.1 Discrete-Time Fourier Transform
7.2 Discrete Fourier Transform
7.3 Properties of the DFT
7.4 System Analysis via the DTFT and DFT
7.5 FFT Algorithm
7.6 Applications of the FFT Algorithm
Problems
8 THE LAPLACE TRANSFORM AND THE TRANSFER FUNCTION REPRESENTATION
8.1 Laplace Transform of a Signal
8.2 Properties of the Laplace Transform
8.3 Computation of the Inverse Laplace Transform
8.4 Transform of the Input/Output Differential Equation
8.5 Transfer Function Representation
8.6 Transfer Function of Block Diagrams
Problems
9 SYSTEM ANALYSIS USING THE TRANSFER FUNCTION REPRESENTATION
9.1 Stability and the Impulse Response
9.2 Routh-Hurwitz Stability Test
9.3 Analysis of the Step Response
9.4 Response to Sinusoids and Arbitrary Inputs
9.5 Frequency Response Function
9.6 Causal Filters
Problems
10 APPLICATION TO CONTROL
10.1 Introduction to Control
10.2 Tracking Control
10.3 Root Locus
10.4 Application to Control System Design
Problems
11 THE z-TRANSFORM AND DISCRETE-TIME SYSTEMS
11.1 z-Transform of a Discrete-Time Signal
11.2 Properties of the z-Transform
11.3 Computation of the Inverse z-Transform
11.4 Transfer Function Representation
11.5 Stability of Discrete-Time Systems
11.6 Frequency Response of Discrete-Time Systems
Problems
12 DESIGN OF DIGITAL FILTERS AND CONTROLLERS
12.1 Discretization
12.2 Design of IIR Filters
12.3 Design of IIR Filters Using MATLAB
12.4 Design of FIR Filters
12.5 Design of Digital Controllers
Problems
13 STATE REPRESENTATION
13.1 State Model
13.2 Construction of State Models
13.3 Solution of State Equations
13.4 Discrete-Time Systems
13.5 Equivalent State Representations
13.6 Discretization of State Model
Problems
APPENDIX A BRIEF REVIEW OF COMPLEX VARIABLES
APPENDIX B BRIEF REVIEW OF MATRICES
BIBLIOGRAPHY
INDEX
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