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.