good wiki

Fast Fourier transform

The Fast Fourier Transform (FFT) is an efficient computational algorithm commonly used to compute the Discrete Fourier Transform (DFT) of a sequence or function. The DFT is a widely used mathematical tool in various fields, including signal processing, image processing, and data analysis.

More at Wikipedia

About

The DFT is a widely used mathematical tool in various fields, including signal processing, image processing, and data analysis. The FFT greatly reduces the computational complexity of the DFT by exploiting the symmetry and periodicity properties of the Fourier transform. This algorithm has revolutionized the field of signal processing, making it possible to analyze and manipulate large amounts of data in real-time. The wikipedia page on the Fast Fourier Transform provides detailed information about the history, mathematical formulation, computation steps, and applications of this algorithm.

You might be interested in

Algorithm

An algorithm is a mathematical or logical formula designed to solve a specific problem or complete a specific task.

American Scientist

American Scientist (informally abbreviated AmSci) is an American bimonthly science and technology magazine published since 1913 by Sigma Xi, The Scientific Research Honor Society.

Cambridge University Press

Cambridge University Press is a publishing house and part of the University of Cambridge.

Carl Friedrich Gauss

Carl Friedrich Gauss was a German mathematician and physicist who made significant contributions to many fields, including number theory, statistics, and electromagnetism.

Central processing unit

A central processing unit (CPU) is the primary component of a computer that performs most of the processing inside the computer.

Computational complexity theory

Computational complexity theory is a branch of computer science that focuses on understanding the fundamental limits of efficient computation.

Convolution

Convolution is a mathematical operation applied to two functions that produces a third function.

Cooley–Tukey FFT algorithm

The Cooley-Tukey FFT algorithm is a fast Fourier transform algorithm that efficiently computes the discrete Fourier transform (DFT) of a sequence or a signal.