waves, trapezoidal method, Fourier transform
An introduction to studying linear surface waves on an infinite domain. In particular, the problem of finding the time evolution of a small perturbation of the surface of an inviscid and incompressible fluid.
rayleigh's criterion, einstein, star trek, discrete fourier transform, image filtering
Using Fourier transforms to filter and analyzing hybrid images.
discrete fourier transform, image filtering
Filters and analyzes images using Fourier transforms.
interpolation, fft, discrete fourier transform, least squares
Using trigonometric interpolation and the discrete Fourier transform to fit a curve to equally spaced data points.
sound filtering, beat, nyquist-shannon sampling theorem, discrete fourier transform, music
Programming with sounds and using Fourier transforms to filter sound signals.
Brief introduction to Discrete Fourier Transform and the Fast Fourier Transform.
speed of sound, doppler, discrete fourier transform
Calculating the speed of a passing train by Fourier analysis of the corresponding sound file.
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