Fundamentals of Signals and Systems Using the Web and MATLAB

Preface                                                                                                                                                                              

1          FUNDAMENTAL CONCEPTS                                                                                                                                   

1.1    Continuous-Time Signals

1.2    Discrete-Time Signals

1.3    Systems

1.4    Examples of Systems  

1.5    Basic System Properties  

         1.6     Chapter Summary

Problems  

2          TIME-DOMAIN MODELS OF SYSTEMS                                                                                                                

2.1    Input/Output Representation of Discrete-Time Systems

2.2    Convolution of Discrete-Time Signals

2.3    Difference Equation Models

2.4    Differential Equation Models

2.5    Solution of Differential Equations

2.6    Convolution Representation of Continuous-Time Systems

            2.7     Chapter Summary

            Problems

3          THE FOURIER SERIES AND FOURIER TRANSFORM                                                                                   

3.1    Representation of Signals in Terms of Frequency Components  

3.2    Trigonometric Fourier Series

3.3    Complex Exponential Series

3.4    Fourier Transform

3.5    Spectral Content of Common Signals

3.6    Properties of the Fourier Transform  

3.7    Generalized Fourier Transform  

3.8    Application to Signal Modulation and Demodulation

             3.9     Chapter Summary

Problems  

4          FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS

4.1      Discrete-Time Fourier Transform

4.2      Discrete Fourier Transform

4.3      DFT of Truncated Signals

4.4      FFT Algorithm

4.5      Application to Data Analysis

             4.6      Chapter Summary

 Problems

5          FOURIER ANALYSIS OF SYSTEMS                                                                                                                        

5.1    Fourier Analysis of Continuous-Time Systems

5.2    Response to Periodic and Nonperiodic Inputs  

5.3    Analysis of Ideal Filters  

5.4    Sampling  

5.5    Fourier Analysis of Discrete-Time Systems

5.6    Application to Lowpass Digital Filtering

             5.7     Chapter Summary

Problems  

6          THE LAPLACE TRANSFORM AND THE TRANSFER FUNCTION REPRESENTATION                       

6.1    Laplace Transform of a Signal  

6.2    Properties of the Laplace Transform  

6.3    Computation of the Inverse Laplace Transform  

6.4    Transform of the Input/Output Differential Equation  

6.5    Transform of the Input/Output Convolution Integral

6.6    Direct Construction of the Transfer Function

            6.7     Chapter Summary

Problems  

7          THE z-TRANSFORM AND DISCRETE-TIME SYSTEMS

7.1   z-Transform of a Discrete-Time Signal  

7.2   Properties of the z-Transform  

7.3   Computation of the Inverse z-Transform  

7.4   Transfer Function Representation  

7.5    System Analysis Using the Transfer Function Representation

             7.6    Chapter Summary

             Problems

8          ANALYSIS OF CONTINUOUS-TIME SYSTEMS USING THE TRANSFER FUNCTION REPRESENTATION          

8.1    Stability and the Impulse Response  

8.2    Routh—Hurwitz Stability Test  

8.3    Analysis of the Step Response  

8.4    Response to Sinusoids and Arbitrary Inputs  

8.5    Frequency Response Function  

8.6    Causal Filters  

             8.7    Chapter Summary

Problems  

9          APPLICATION TO CONTROL                                                                                                                                   

9.1   Introduction to Control  

9.2   Tracking Control  

9.3   Root Locus  

9.4   Application to Control System Design  

          9.5    Chapter Summary

           Problems

10        DESIGN OF DIGITAL FILTERS AND CONTROLLERS                                                                                     

10.1   Discretization  

10.2   Design of IIR Filters  

10.3   Design of IIR Filters Using MATLAB  

10.4   Design of FIR Filters  

10.5   Design of Digital Controllers  

          10.6    Chapter Summary

Problems  

11        STATE REPRESENTATION                                                                                                                                      

11.1   State Model  

11.2   Construction of State Models  

11.3   Solution of State equations  

11.4   Discrete-Time Systems  

11.5   Equivalent State Representations  

11.6   Discretization of State Model  

          11.7    Chapter Summary

                          Problems

APPENDIX  A   BRIEF REVIEW OF COMPLEX VARIABLES

APPENDIX  B   BRIEF REVIEW OF MATRICES                                                                                               

BIBLIOGRAPHY                                                                                                                                                            

INDEX