Linear Wave Propagation

trapezoidal method, waves, 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.

  Hybrid Images. Einstein-Monroe

einstein, discrete fourier transform, image filtering, rayleigh's criterion, star trek

Using Fourier transforms to filter and analyzing hybrid images.

  Image Filtering using Fourier Transform

discrete fourier transform, image filtering

Filters and analyzes images using Fourier transforms.

  Trigonometric Interpolation

discrete fourier transform, interpolation, fft, least squares

Using trigonometric interpolation and the discrete Fourier transform to fit a curve to equally spaced data points.

  Simple Sound Filtering

discrete fourier transform, nyquist-shannon sampling theorem, music, sound filtering, beat

Programming with sounds and using Fourier transforms to filter sound signals.

  Discrete Fourier Transform

fft, dft

Brief introduction to Discrete Fourier Transform and the Fast Fourier Transform.

  Doppler Effect

speed of sound, doppler, discrete fourier transform

Calculating the speed of a passing train by Fourier analysis of the corresponding sound file.