rectangular transform
1Rectangular function — The rectangular function (also known as the rectangle function, rect function, unit pulse, or the normalized boxcar function) is defined as::mathrm{rect}(t) = sqcap(t) = egin{cases}0 mbox{if } |t| > frac{1}{2} [3pt] frac{1}{2} mbox{if } |t| =… …
2Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …
3Discrete-time Fourier transform — In mathematics, the discrete time Fourier transform (DTFT) is one of the specific forms of Fourier analysis. As such, it transforms one function into another, which is called the frequency domain representation, or simply the DTFT , of the… …
4Fractional Fourier transform — In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a linear transformation generalizing the Fourier transform. It can be thought of as the Fourier transform to the n th power where n need not be an… …
5Chirplet transform — Comparison of wave, wavelet, chirp, and chirplet In signal processing, the chirplet transform is an inner product of an input signal with a family of analysis primitives called chirplets. Contents …
6Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… …
7Hilbert-Huang transform — The Hilbert Huang Transform (HHT) is a way to decompose a signal into so called intrinsic mode functions (IMF), and obtain instantaneous frequency data. It is designed to work well for data that are nonstationary and nonlinear. In contrast to… …
8Finite Fourier transform — In mathematics the finite Fourier transform may refer to either* another name for the discrete Fourier transform [J. Cooley, P. Lewis, and P. Welch, The finite Fourier transform, IEEE Trans. Audio Electroacoustics 17 (2), 77 85 (1969).] or*… …
9Fast Fourier Transform Telescope — is Max Tegmark s name for an all digital synthetic aperture telescope.In 1868, Hippolyte Fizeau realized that the lenses and mirrors in a telescope perform a physical approximation of a Fourier transform.Fact|date=October 2008 He noted that by… …
10Window function — For the term used in SQL statements, see Window function (SQL) In signal processing, a window function (also known as an apodization function or tapering function[1]) is a mathematical function that is zero valued outside of some chosen interval …
