Computer Explorations in Signals and Systems Using MATLAB

Preface xi Signals and Systems 1(18) Tutorial: Basic MATLAB Functions for Representing Signals 2(5) Discrete-Time Sinusoidal Signals 7(1) Transformations of the Time Index for Discrete-Time Signals 8(2) Properties of Discrete-Time Systems 10(1) Implementing a First-Order Difference Equation 11(1) Continuous-Time Complex Exponential Signals (S) 12(2) Transformations of the Time Index for Continuous-Time Signals (S) 14(2) Energy and Power for Continuous-Time Signals (S) 16(3) Linear Time-Invariant Systems 19(28) Tutorial: conv 20(2) Tutorial: filter 22(4) Tutorial: Isim with Differential Equations 26(3) Properties of Discrete-Time LTI Systems 29(4) Linearity and Time-Invariance 33(1) Noncausal Finite Impulse Response Filters 34(2) Discrete-Time Convolution 36(2) Numerical Approximations of Continuous-Time Convolution 38(3) The Pulse Response of Continuous-Time LTI Systems 41(3) Echo Cancellation via Inverse Filtering 44(3) Fourier Series Representation of Periodic Signals 47(24) Tutorial: Computing the Discrete-Time Fourier Series with fft 47(4) Tutorial: freqz 51(1) Tutorial: Isim with System Functions 52(1) Eigenfunctions of Discrete-Time LTI Systems 53(2) Synthesizing Signals with the Discrete-Time Fourier Series 55(2) Properties of the Continous-Time Fourier Series 57(1) Energy Relations in the Continuous-Time Fourier Series 58(1) First-Order Recursive Discrete-Time Filters 59(1) Frequency Response of a Continuous-Time System 60(2) Computing the Discrete-Time Fourier Series 62(2) Synthesizing Continuous-Time Signals with the Fourier Series (S) 64(2) The Fourier Representation of Square and Triangle Waves (S) 66(3) Continuous-Time Filtering (S) 69(2) The Continuous-Time Fourier Transform 71(18) Tutorial: freqs 71(3) Numerical Approximation to the Continuous-Time Fourier Transform 74(1) Properties of the Continuous-Time Fourier Transform 74(5) Time- and Frequency-Domain Characterizations of Systems 79(2) Impulse Responses of Differential Eqations by Partial Fraction Expansion 81(2) Amplitude Modulation and the Continuous-Time Fourier Transform 83(2) Symbolic Computation of the Continuous-Time Fourier Transform (S) 85(4) The Discrete-Time Fourier Transform 89(16) Computing Samples of the DTFT 90(3) Telephone Touch-Tone 93(3) Discrete-Time All-Pass Systems 96(1) Frequency Sampling: DTFT-Based Filter Design 97(2) System Identification 99(2) Partial Fraction Expansion for Discrete-Time Systems 101(4) Time and Frequency Analysis of Signals and Systems 105(20) A Second-Order Shock Absorber 106(4) Image Processing with One-Dimensional Filters 110(4) Filter Design by Transformation 114(3) Phase Effects for Lowpass Filters 117(1) Frequency Division Multiple-Access 118(3) Linear Prediction on the Stock Market 121(4) Sampling 125(18) Aliasing due to Undersampling 126(2) Signal Reconstruction from Samples 128(3) Upsampling and Downsampling 131(3) Bandpass Sampling 134(2) Half-Sample Delay 136(2) Discrete-Time Differentiation 138(5) Communications Systems 143(16) The Hilbert Transform and Single-Sideband AM 144(3) Vector Analysis of Amplitude Modulation with Carrier 147(2) Amplitude Demodulation and Receiver Synchronization 149(3) Intersymbol Interference in PAM Systems 152(4) Frequency Modulation 156(3) The Laplace Transform 159(14) Tutorial: Making Continuous-Time Pole-Zero Diagrams 159(3) Pole Locations for Second-Order Systems 162(2) Butterworth Filters 164(1) Surface Plots of Laplace Transforms 165(3) Implementing Noncausal Continuous-Time Filters 168(5) The z-Transform 173(18) Tutorial: Making Discrete-Time Pole-Zero Diagrams 174(2) Geometric Interpretation of the Discrete-Time Frequency Response 176(3) Quantization Effects in Discrete-Time Filter Structures 179(4) Designing Discrete-Time Filters with Euler Approximations 183(3) Discrete-Time Butterworth Filter Design Using the Bilinear Transformation 186(5) Feedback Systems 191(10) Feedback Stabilization: Stick Balancing 191(3) Stabilization of Unstable Systems 194(3) Using Feedback to Increase the Bandwidth of an Amplifier 197(4) Bibliography 201(2) Index 203