CHAPTER 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 Problems CHAPTER 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 Problems CHAPTER 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 Problems CHAPTER 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 FFTAlgorithm 4.5 Application to Data Analysis Problems CHAPTER 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 DigitalFiltering Problems CHAPTER 6 The Laplace Transform and the Transfer Function Representation 258 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 Problems CHAPTER 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 Problems CHAPTER 8 Analysis of Continuous-Time Systems by Use of 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 Problems CHAPTER 9 Application to Control 9.1 Introduction to Control 9.2 Tracking Control 9.3 Root Locus 9.4 Application to Control System Design Problems CHAPTER 10 Design of Digital Filters and Controllers 10.1 Discretization 10.2 Design oflIR Filters 10.3 Design of IIR Filters Using MATLAB 10.4 Design of FIR Filters 10.5 Design of Digital Controllers Problems CHAPTER 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 Problems Appendix A Brief Review of Complex Variables Appendix B Brief Review of Matrices Bibliography Index
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