Fundamentals of signals and systems using the Web and MATLAB

Description

Preface 1 FUNDAMENTAL CONCEPTS 1.1 Continuous-Time Signals1.2 Discrete-Time Signals1.3 Systems1.4 Examples of Systems 1.5 Basic System Properties 1.6 Chapter SummaryProblems 2 TIME-DOMAIN MODELS OF SYSTEMS 2.1 Input/Output Representation of Discrete-Time Systems2.2 Convolution of Discrete-Time Signals2.3 Difference Equation Models2.4 Differential Equation Models2.5 Solution of Differential Equations2.6 Convolution Representation of Continuous-Time Systems 2.7 Chapter Summary Problems3 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 Series3.4 Fourier Transform3.5 Spectral Content of Common Signals3.6 Properties of the Fourier Transform 3.7 Generalized Fourier Transform 3.8 Application to Signal Modulation and Demodulation 3.9 Chapter SummaryProblems 4 FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS4.1 Discrete-Time Fourier Transform4.2 Discrete Fourier Transform4.3 DFT of Truncated Signals4.4 FFT Algorithm4.5 Application to Data Analysis 4.6 Chapter Summary Problems5 FOURIER ANALYSIS OF SYSTEMS 5.1 Fourier Analysis of Continuous-Time Systems5.2 Response to Periodic and Nonperiodic Inputs 5.3 Analysis of Ideal Filters 5.4 Sampling 5.5 Fourier Analysis of Discrete-Time Systems5.6 Application to Lowpass Digital Filtering 5.7 Chapter SummaryProblems 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 Integral6.6 Direct Construction of the Transfer Function 6.7 Chapter SummaryProblems 7 THE z-TRANSFORM AND DISCRETE-TIME SYSTEMS7.1 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 SummaryProblems8 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 SummaryProblems 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 Problems10 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 SummaryProblems 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 ProblemsAPPENDIX B BRIEF REVIEW OF MATRICES INDEX