Computer Explorations in Signals and Systems Using MATLAB

<br> <br> 1. Signals and Systems. <br> <p> </p> <div style="margin-left: 0.2in;"> Tutorial: Basic MATLAB Functions for Representing Signals. Discrete-Time Sinusoidal Signals. Transformations of the Time Index for Discrete-Time Signals. Properties of Discrete-Time Systems. Implementing a First-Order Difference Equation. Continuous-Time Complex Exponential Signals. Transformations of the Time Index for Continuous-Time Signals. Energy and Power for Continuous-Time Signals. </div> <p></p> <br> <br> 2. Linear Time-Invariant Systems. <br> <p> </p> <div style="margin-left: 0.2in;"> Tutorial: conv. Tutorial: filter. Tutorial: lsim with Differential Equations. Properties of Discrete-Time LTI Systems. Linearity and Time-Invariance. Noncausal Finite Impulse Response Filters. Discrete-Time Convolution. Numerical Approximations of Continuous-Time Convolution. The Pulse Response of Continuous-Time LTI Systems. Echo Cancellation via Inverse Filtering. </div> <p></p> <br> <br> 3. Fourier Series Representation of Periodic Signals. <br> <p> </p> <div style="margin-left: 0.2in;"> Tutorial: Computing the Discrete-Time Fourier Series with fft. Tutorial: freqz. Tutorial: lsim with System Functions. Eigenfunctions of Discrete-Time LTI Systems. Synthesizing Signals with the Discrete-Time Fourier Series. Properties of the Continuous-Time Fourier Series. Energy Relations in the Continuous-Time Fourier Series. First-Order Recursive Discrete-Time Filters. Frequency Response of a Continuous-Time System. Computing the Discrete-Time Fourier Series. Synthesizing Continuous-Time Signals with the Fourier Series. The Fourier Representation of Square and Triangle Waves. Continuous-Time Filtering. </div> <p></p> <br> <br> 4. The Continuous-Time Fourier Transform. <br> <p> </p> <div style="margin-left: 0.2in;"> Tutorial: freqs. Numerical Approximation to the Continuous-Time Fourier Transform. Properties of the Continuous-Time Fourier Transform. Time- and Frequency-Domain Characterizations of Systems. Impulse Responses of Differential Equations by Partial Fraction Expansion. Amplitude Modulation and the Continuous-Time Fourier Transform. Symbolic Computation of the Continuous-Time Fourier Transform. </div> <p></p> <br> <br> 5. The Discrete-Time Fourier Transform. <br> <p> </p> <div style="margin-left: 0.2in;"> Computing Samples of the DTFT. Telephone Touch-Tone. Discrete-Time All-Pass Systems. Frequency Sampling: DTFT-Based Filter Design. System Identification. Partial Faction Expansion for Discrete-Time Systems. </div> <p></p> <br> <br> 6. Time and Frequency Analysis of Signals and Systems. <br> <p> </p> <div style="margin-left: 0.2in;"> A Second-Order Shock Absorber. Image Processing with One-Dimensional Filters. Filter Design by Transformation. Phase Effects for Lowpass Filters. Frequency Division Multiple-Access. Linear Prediction on the Stock Market. </div> <p></p> <br> <br> 7. Sampling. <br> <p> </p> <div style="margin-left: 0.2in;"> Aliasing due to Undersampling. Signal Reconstruction from Samples. Upsampling and Downsampling. Bandpass Sampling. Half-Sample Delay. Discrete-Time Differentiation. </div> <p></p> <br> <br> 8. Communications Systems. <br> <p> </p> <div style="margin-left: 0.2in;"> The Hilbert Transform and Single-Sideband AM. Vector Analysis of Amplitude Modulation with Carrier. Amplitude Demodulation and Receiver Synchronization. Intersymbol Interference in PAM Systems. Frequency Modulation. </div> <p></p> <br> <br> 9. The Laplace Transform. <br> <p> </p> <div style="margin-left: 0.2in;"> Tutorial: Making Continuous-Time Pole-Zero Diagrams. Pole Locations for Second-Order Systems. Butterworth Filters. Surface Plots of Laplace Transforms. Implementing Noncausal Continuous-Time Filters. </div> <p></p> <br> <br> 10. The z-Transform. <br> <p> </p> <div style="margin-left: 0.2in;"> Tutorial: Making Discrete-Time Pole-Zero Diagrams. Geometric Interpretation of the Discrete-Time Frequency Response. Quantization Effects in Discrete-Time Filter Structures. Designing Discrete-Time Filters with Euler Approximations. Discrete-Time Butterworth Filter Design Using the Bilinear Transformation. </div> <p></p> <br> <br> 11. Feedback Systems. <br> <p> </p> <div style="margin-left: 0.2in;"> Feedback Stabilization: Stick Balancing. Stabilization of Unstable Systems. Using Feedback to Increase the Bandwidth of an Amplifier. </div> <p></p> <br> <br> Bibliography. <br> <br> <br> Index. <br>