n-dimensional Fourier transform

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• Fourier 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… …   Wikipedia

• Short-time Fourier transform — The short time Fourier transform (STFT), or alternatively short term Fourier transform, is a Fourier related transform used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time. STFT… …   Wikipedia

• Discrete 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… …   Wikipedia

• Fast Fourier transform — A fast Fourier transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex number arithmetic to group …   Wikipedia

• Quantum Fourier transform — The quantum Fourier transform is the discrete Fourier transform with a particular decomposition into a product of simpler unitary matrices. Using this decomposition, the discrete Fourier transform can be implemented as a quantum circuit… …   Wikipedia

• Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …   Wikipedia

• Fourier operator — The Fourier operator is the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform.It may be thought of as a limiting case for when the size of the discrete Fourier transform increases without bound while… …   Wikipedia

• Two-dimensional infrared spectroscopy — Nonlinear two dimensional infrared spectroscopy (2DIR) is a technique that has the ability to correlate vibrational modes in condensed phase systems. This technique provides information beyond linear infrared spectra, by spreading the vibrational …   Wikipedia

• Two-dimensional nuclear magnetic resonance spectroscopy — (2D NMR) is a set of nuclear magnetic resonance spectroscopy (NMR) methods which give data plotted in a space defined by two frequency axes rather than one. Types of 2D NMR include correlation spectroscopy (COSY), J spectroscopy, exchange… …   Wikipedia

• Discrete cosine transform — A discrete cosine transform (DCT) expresses a sequence of finitely many data points in terms of a sum of cosine functions oscillating at different frequencies. DCTs are important to numerous applications in science and engineering, from lossy… …   Wikipedia

• Hankel transform — Besides the meaning discussed in this article, the Hankel transform may also refer to the determinant of the Hankel matrix of a sequence .In mathematics, the Hankel transform of order nu; of a function f ( r ) is given by::F u(k) = int 0^infty… …   Wikipedia