Heck, Bonnie S.; Kamen, Edward W.

Fundamentals of Signals and Systems Using the Web and MATLAB

Preface ix Fundamental Concepts 1(43) Continuous-Time Signals 1(10) Discrete-Time Signals 11(10) Systems 21(3) Examples of Systems 24(7) Basic System Properties 31(6) Chapter Summary 37(7) Problems 37(7) Time-Domain Models of Systems 44(52) Input/Output Representation of Discrete-Time Systems 44(5) Convolution of Discrete-Time Signals 49(6) Difference Equation Models 55(9) Differential Equation Models 64(5) Solution of Differential Equations 69(6) Convolution Representation of Continuous-Time Systems 75(9) Chapter Summary 84(12) Problems 85(11) The Fourier Series and Fourier Transform 96(70) Representation of Signals in Terms of Frequency Components 96(5) Trigonometric Fourier Series 101(7) Complex Exponential Series 108(6) Fourier Transform 114(8) Spectral Content of Common Signals 122(4) Properties of the Fourier Transform 126(15) Generalized Fourier Transform 141(3) Application to Signal Modulation and Demodulation 144(8) Chapter Summary 152(14) Problems 154(12) Fourier Analysis of Discrete-Time Signals 166(56) Discrete-Time Fourier Transform 166(13) Discrete Fourier Transform 179(9) DFT of Truncated Signals 188(7) FFT Algorithm 195(11) Application to Data Analysis 206(10) Chapter Summary 216(6) Problems 217(5) Fourier Analysis of Systems 222(57) Fourier Analysis of Continuous-Time Systems 222(6) Response to Periodic and Nonperiodic Inputs 228(9) Analysis of Ideal Filters 237(5) Sampling 242(7) Fourier Analysis of Discrete-Time Systems 249(5) Application to Lowpass Digital Filtering 254(8) Chapter Summary 262(17) Problems 263(16) The Laplace Transform and the Transfer Function Representation 279(73) Laplace Transform of a Signal 279(6) Properties of the Laplace Transform 285(11) Computation of the Inverse Laplace Transform 296(20) Transform of the Input/Output Differential Equation 316(7) Transform of the Input/Output Convolution Integral 323(7) Direct Construction of the Transfer Function 330(11) Chapter Summary 341(11) Problems 342(10) The z-Transform and Discrete-Time Systems 352(59) z-Transform of a Discrete-Time Signal 352(5) Properties of the z-Transform 357(10) Computation of the Inverse z-Transform 367(10) Transfer Function Representation 377(11) System Analysis Using the Transfer Function Representation 388(12) Chapter Summary 400(11) Problems 401(10) Analysis of Continuous-Time Systems by Use of the Transfer Function Representation 411(78) Stability and the Impulse Response 411(3) Routh-Hurwitz Stability Test 414(5) Analysis of the Step Response 419(18) Response to Sinusoids and Arbitrary Inputs 437(6) Frequency Response Function 443(20) Causal Filters 463(15) Chapter Summary 478(11) Problems 479(10) Application to Control 489(47) Introduction to Control 489(8) Tracking Control 497(11) Root Locus 508(8) Application to Control System Design 516(9) Chapter Summary 525(11) Problems 526(10) Design of Digital Filters and Controllers 536(48) Discretization 536(7) Design of IIR Filters 543(6) Design of IIR Filters Using MATLAB 549(7) Design of FIR Filters 556(12) Design of Digital Controllers 568(9) Chapter Summary 577(7) Problems 578(6) State Representation 584(49) State Model 584(3) Construction of State Models 587(8) Solution of State Equations 595(9) Discrete-Time Systems 604(8) Equivalent State Representations 612(6) Discretization of State Model 618(4) Chapter Summary 622(11) Problems 623(10) Appendix A Brief Review of Complex Variables 633(5) Appendix B Brief Review of Matrices 638(6) Bibliography 644(1) Index 645