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Fourier transform

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In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made, the output of the operation is sometimes called the frequency domain representation of the original function. The Fourier transform is analogous to decomposing the sound of a musical chord into the intensities of its constituent pitches.

Fourier transform - Wikipedia Jump to content From Wikipedia, the free encyclopedia Mathematical transform that expresses a function of time as a function of frequency Not to be confused with Fourier method or Fourier's original sine and cosine transforms . Fourier transforms Fourier transform Fourier series Discrete-time Fourier transform Discrete Fourier transform Discrete Fourier transform over a ring Fourier transform on finite groups Fourier analysis Related transforms The Fourier transform applied to the waveform of a C major piano chord (with logarithmic horizontal (frequency) axis). Th

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