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