General
Analog Signals and Transforms
Discrete Signals, Sampling, and Transforms
- Concept of a Time-Frequency Transform
- Common Signals
- Finding System Response Directly via Differential Equation
- Applications of Concepts in Signals and Systems
Analog Filters
- Definition of Common Terms
- Properties of DT Systems
- Practical A/D's D/A's and the Sampling Process
- Frequency of Aliased Signals
- Useful Transforms and Relationships
- Sound I/O, Plotting Signals & Spectrums in SciLab
- Butterfly Diagram of 4-Point FFT
- Butterfly Diagram of 8-Point FFT
- Explanation of Musical Staff, with Analog Frequencies of Notes
- Hardware Structures for Digital Filters
- Formal Solution of Differential Equations
- Linear Phase FIR Filters
Digital Filters
- Grid Paper for Constructing Bode Plots
- Finding the Corner Frequencies of an Unknown System
- Capturing a Frequency Response Plot on the Scope
- Filter Analysis
- Filter Design by Pole/Zero Placement
- Filter Design by Windowing
- Filter Design by Frequency Sampling
- Developing a Digital Filter to Process WAV Files
- Developing a Digital Filter on the TI-DSK Board
- Using the Daughter Card Interface on the TI DSK
Advanced DSP
- SciLab Version 3.0, with Additional Functions for Filter Analysis
- Check out this image of |H(z)| for a notch filter, made with 'zplane3d_fwd()' by SciLab! The surface is clipped at the unit circle, revealing the contour of |H(z)|. The Filter Analysis notes explain the usage of SciLab with digital filters.
Analog Control Systems
Probability & Random Signals
- Simplifying Block Diagrams
- Finding a Transfer Function via Mason's Gain Rule
- Finding Stability via Routh-Hurwitz
- Determining Performance Measures
- Introduction to Root Locus Plots
- Finding a Root Locus: Step-By-Step
- Finding Bode Plots and Gain & Phase Margin
- Designing a Lead Compensator
- Compensator Example
- Nyquist Stability Criterion
Kalman Filter
- Basic Probability 1
- Basic Probability 2
- Basic Probability 3
- Multiple Random Variables
- Random Processes
Applied Math
Friday, April 29, 2011
General * Digital Vs Analog Signal Processing * Applications of DSP Analog Signals and Transforms * Concept of a Time-Frequency Transform * Common Signals * Finding System Response Directly via Differential Equation * Applications of Concepts in Signals and Systems Discrete Signals, Sampling, and Transforms * Definition of Common Terms * Properties of DT Systems * Practical A/D's D/A's and the Sampling Process * Frequency of Aliased Signals * Useful Transforms and Relationships * Sound I/O, Plotting Signals & Spectrums in SciLab * Butterfly Diagram of 4-Point FFT * Butterfly Diagram of 8-Point FFT * Explanation of Musical Staff, with Analog Frequencies of Notes * Hardware Structures for Digital Filters * Formal Solution of Differential Equations * Linear Phase FIR Filters Analog Filters * Grid Paper for Constructing Bode Plots * Finding the Corner Frequencies of an Unknown System * Capturing a Frequency Response Plot on the Scope Digital Filters * Filter Analysis * Filter Design by Pole/Zero Placement * Filter Design by Windowing * Filter Design by Frequency Sampling * Developing a Digital Filter to Process WAV Files * Developing a Digital Filter on the TI-DSK Board * Using the Daughter Card Interface on the TI DSK * SciLab Version 3.0, with Additional Functions for Filter Analysis * Check out this image of |H(z)| for a notch filter, made with 'zplane3d_fwd()' by SciLab! The surface is clipped at the unit circle, revealing the contour of |H(z)|. The Filter Analysis notes explain the usage of SciLab with digital filters. Advanced DSP * Phased Array Signal Processing * Adaptive Filters Analog Control Systems * Simplifying Block Diagrams * Finding a Transfer Function via Mason's Gain Rule * Finding Stability via Routh-Hurwitz * Determining Performance Measures * Introduction to Root Locus Plots * Finding a Root Locus: Step-By-Step * Finding Bode Plots and Gain & Phase Margin * Designing a Lead Compensator * Compensator Example * Nyquist Stability Criterion Probability & Random Signals * Basic Probability 1 * Basic Probability 2 * Basic Probability 3 * Multiple Random Variables * Random Processes Kalman Filter * Kalman Filter * Kalman Filter - Summary for [PVA] State * Kalman Filter Derivation Applied Math * Example of a Least-Squares Fit * Constrained Optimization via Lagrange Multipliers
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