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.
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.
Signal Processing for Everyone - G. Strang
Harmonic Analysis - Lepikult
Signal Processing - Michael McCumiskey's site with audio and tidal harmonics
From Integral Transforms to Series
Discrete Fourier Transform
Exponential Sum Formula - Math World
Discrete Fourier Transform - Eric Weinstein's World of Math
DFT and FFT - P. Bourke
The Discrete Cosine Transform - G. Strang
Fast Fourier Transform
Rotary Component Method
Effects of Sampling
Windowing and Filtering
Marine Science/Bioacoustics Links
The Mathematical Foundation of Image Compression
This is student research into image compression using fractal compression techniques.