This site provides links to a variety of topics related to signal analysis, image processing and the harmonic analysis of tides. It started as a set of links for teaching marine science students about the Fourier Analysis of Time Series. There are also links to an undergraduate mathematics course in Fourier and Complex Analysis. This has resulted in a draft of a text devoted to the mathematics behind these topics.
Class Notes (in textbook format)
Class Project using Matlab
Class notes
Fourier Analysis of Time Series MS Word, PDF, HTML (HTML needs work and the overall set of notes need to be proofread.) Last Revised - 9/18/02
Harmonic Analysis MS Word Last Revised - 10/16/02
Filters.doc - not proofread or ready for prime time.
Introduction
Signal Processing for Everyone - G. Strang
Harmonic Analysis - Lepikult
Signal Processing - Michael McCumiskey's site with audio and tidal harmonics
Analog Signal Processing, Digital Signal Processing from Cuthbert Nyack
The Scientist and Engineer's Guide to Digital Signal Processing - Free book
From Integral Transforms to Series
Fourier Transform, Fourier Series, Discrete Fourier Transform - Eric Weinstein's World of Math
Fourier Series
Orthogonality of Trigonometric Basis
Special Trigonometric Bases - Harvey Mudd College
Fourier Series - Eric Weinstein's World of Math
Fourier Trivia - Amara's Wavelet Page
Discrete Fourier Transform
Discrete Orthogonality
Exponential Sum Formula - Math World
Discrete Fourier Transform - Eric Weinstein's World of Math
DFT and FFT - P. Bourke
Complex Numbers - World of Math, or SOSMATH
The Discrete Cosine Transform - G. Strang
Matlab Implementations
Harmonic Analysis - Example1, Example 2, Maple 8 Implementation
Functions - harm.m, plotharm.m
Using Matlab fft function - fanal.m
Filter - filterdata.m
Fast Fourier Transform
Fast Fourier Transforms in Different Computer Languages
Harmonic Analysis
Marine Geophysical Data Analysis - Lectures by Dietmar Müller & Michael Hughes
Nonlinear Regression Sites
Spectral Analysis
Rotary Component Method
Effects of Sampling
Windowing and Filtering
Windowing
Applet from MIT
Biomedical Signal and Image Processing
course.
Digital Filters - and Java applets for windows and filters
Marine Science/Bioacoustics Links
The Mathematical Foundation of Image Compression
This is student research into image compression using fractal compression techniques.