Preface.
1. Introduction to Linear Systems.
1.1 Continuous and Discrete Linear Systems and
Signals. 1.2 System Linearity and Time Invariance. 1.3 Mathematical Modeling
of Systems. 1.4 System Classification. 1.5 MATLAB System Computer Analysis and
Design. 1.6 Book Organization. 1.7 Chapter One Summary. 1.8 References. 1.9
Problems.
2. Introduction to Signals.
2.1 Common Signals in Linear Systems. 2.2 Signal
Operations. 2.3 Signal Classification. 2.4 MATLAB Laboratory Experiment on Signals.
2.5 Chapter Two Summary. 2.6 References. 2.7 Problems.
I. FREQUENCY DOMAIN TECHNIQUES.
3. Fourier Series and Fourier Transform.
3.1 Fourier Series. 3.2 Fourier Transform and
Its Properties. 3.3 Fourier Transform in System Analysis. 3.4 Fourier Series
in Systems Analysis. 3.5 From Fourier Transform to Laplace Transform. 3.6 Fourier
Analysis MATLAB Laboratory Experiment. 3.7 Chapter Three Summary. 3.8 References.
3.9 Problems.
4. Laplace Transform.
4.1 Laplace Transform and Its Properties. 4.2
Inverse Laplace Transform. 4.3 Laplace Transform in Linear System Analysis.
4.4 Block Diagrams. 4.5 From Laplace to the z-Transform. 4.6 MATLAB Laboratory
Experiment. 4.7 Chapter Four Summary. 4.8 References. 4.9 Problems.
5. The z Transform.
5.1 The z Transform and Its Properties. 5.2
Inverse of the z Transform. 5.3 The z Transform in Linear System Analysis. 5.4
Block Diagram. 5.5 Discrete-Time Frequency Spectra. 5.6 MATLAB Laboratory Experiment.
5.7 Chapter Five Summary. 5.8 References. 5.9 Problems.
II. TIME DOMAIN TECHNIQUES.
6. Convolution and Correlation.
6.1 Convolution of Continuous-Time Signals.
6.2 Convolution for Linear Continuous-Time Systems. 6.3 Convolution of Discrete-Time
Signals. 6.4 Convolution for Linear Discrete-Time Systems. 6.5 Numerical Convolution
Using MATLAB. 6.6 MATLAB Laboratory Experiments on Convolution. 6.7 Chapter
Six Summary. 6.8 References. 6.9 Problems.
7. System Response in Time Domain.
7.1 Solving Linear Differential Equations. 7.2
Solving Linear Difference Equations. 7.3 Discrete-Time System Impulse Response.
7.4 Continuous-Time System Impulse Response. 7.5 Complete Continuous-Time System
Response. 7.6 Complete Discrete-Time System Response. 7.7 Stability of Continuous-Time
Linear Systems. 7.8 Stability of Discrete-Time Linear Systems. 7.9 MATLAB Experiment
on Continuous-Time Systems. 7.10 MATLAB Experiment on Discrete-Time Systems.
7.11 Chapter Seven Summary. 7.12 References. 7.13 Problems.
8. State Space Approach.
8.1 State Space Models. 8.2 Time Response from
the State Equation. 8.3 Discrete-Time Models. 8.4 System Characteristic Equation
and Eigenvalues. 8.5 Cayley-Hamilton Theorem. 8.6 Linearization of Nonlinear
System. 8.7 State Space MATLAB Laboratory Experiments. 8.8 Chapter Eight Summary.
8.9 References. 8.10 Problems.
III. SYSTEMS IN ELECTRICAL ENGINEERING.
9. Signals in Digital Signal Processing.
9.1 Sampling Theorem. 9.2 Discrete-Time Fourier
Transform (DFDT). 9.3 Double Sided z-Transform. 9.4 Discrete Fourier Transform.
9.5 Discrete-Time Fourier Series. 9.6 Correlation of Discrete-Time Signals.
9.7 FIR and IIR Filters. 9.8 Laboratory Experiment on Digital Signal Processing.
9.9 Chapter Nine Summary. 9.10 References. 9.11 Problems.
10. Signals in Communication Systems.
10.1 Signal Transmission in Communications.
10.2 Signal Correlation, Energy and Power Spectra. 10.3 Hilbert Transform. 10.4
Ideal Filter. 10.5 Modulation and Demodulation. 10.6 Digital Communication System.
10.7 Communication Systems Laboratory Experiment. 10.8 Chapter Ten Summary.
10.9 References. 10.10 Problems.
11. Linear Electric Circuits.
11.1 Basic Relations. 11.2 First-Order Linear
Electrical Circuits. 11.3 Second-Order Linear Electrical Circuits. 11.4 Higher-Order
Linear Electrical Circuits. 11.5 Chapter Eleven Summary. 11.6 References. 11.7
MATLAB Laboratory Experiment. 11.8 Problems.
12. Linear Controls Systems.
12.1 The Essence of Feedback. 12.2 Transient
Response of Second-Order Systems. 12.3 Feedback System Steady State Errors.
12.4 Feedback System Frequency Characteristics. 12.5 Bode Diagrams. 12.6 Common
Dynamic Controllers: PD, PI, PID. 12.7 Laboratory Experiment on Control Systems.
12.8 Chapter Twelve Summary. 12.9 References. 12.10 Problems.
Appendices.
A. Linear Algebra. B. Some Results from Calculus.
C. Introduction to MATLAB. D. Introduction to SIMULINK.
Index.