Chris' Page for HW 4 (Fourier Transforms)

The Fourier Transform is a process or formula that converts a signal from one domain to another. Often it is used to go between the time domain and the frequency domain.

Developed by Frenchman, Jean Baptiste Joseph Fourier (1768 - 1830), the Fourier Transform stems from the more general Fourier Analysis, which is the representation of a function with sine and cosine terms. Unlike the Fourier Series the Fourier Transform is capable of representing aperiodic signals.

Mathematical Description

$X(f)=\int _{-\infty }^{\infty }x(t)\ e^{-i2\pi ft}\,dt,$   for every real number $f.\,$