mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of discrete values. The DTFT is...

the non-uniform discrete Fourier transform (NUDFT or NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time...

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...

Fourier-related transforms Laplace transform (LT) Two-sided Laplace transform Mellin transform Non-uniform discrete Fourier transform (NDFT) Quantum Fourier transform...

Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). A Fourier transform converts...

transforms Parseval's theorem Paley–Wiener theorem Projection-slice theorem Frequency spectrum Discrete Fourier series Non-uniform discrete Fourier transform...

original Fourier transform on R or Rn, notably includes the discrete-time Fourier transform (DTFT, group = Z), the discrete Fourier transform (DFT, group...

Discrete Fourier transform Fast Fourier transform Fejér's theorem Fourier analysis Fourier inversion theorem Fourier sine and cosine series Fourier transform...

Hadamard transform (also known as the Walsh–Hadamard transform, Hadamard–Rademacher–Walsh transform, Walsh transform, or Walsh–Fourier transform) is an...

domain. A discrete frequency domain is a frequency domain that is discrete rather than continuous. For example, the discrete Fourier transform maps a function...

is a (non-canonically) isomorphic group. Moreover, any function on a finite abelian group can be recovered from its discrete Fourier transform. The theory...

representation to a frequency domain representation. The discrete-domain multidimensional Fourier transform (FT) can be computed as follows: F ( w 1 , w 2 , …...

divisions of the FFT which uses the same basis functions as the discrete Fourier transform (DFT). This complexity only applies when the filter size has no...

probability calculus in relation to dice. Discrete uniform distribution Beta distribution Box–Muller transform Probability plot Q–Q plot Rectangular function...

that there is no leakage at a discrete set of harmonically-related frequencies sampled by the discrete Fourier transform (DFT). (The spectral nulls are...

produces a temporal or spatial domain representation, whereas a discrete Fourier transform produces the frequency domain representation. Time domain refers...

incomplete time series. Least-squares spectral analysis Non-uniform discrete Fourier transform Spacetime Myron Scholes; Joseph Williams (1977). "Estimating...

transition from continuous time to discrete time (see Discrete-time Fourier transform#Relation to Fourier Transform), and it is needed to preserve the...

The Fourier transform of the Heaviside step function is a distribution. Using one choice of constants for the definition of the Fourier transform we have...

approximation of the Least-squares spectral analysis Non-uniform discrete Fourier transform Non-parametric methods for which the signal samples must be...

imposing self-adjointness of the Fourier transform. By analytic continuation of the Fourier transform, the Laplace transform of the delta function is found...

non-existent data just so to be able to run a Fourier-based algorithm. Non-uniform discrete Fourier transform Orthogonal functions SigSpec Sinusoidal model...

defined by discrete samples of the original function's Fourier transform. And conversely, the periodic summation of a function's Fourier transform is completely...

The Fourier transform of a function of time, s(t), is a complex-valued function of frequency, S(f), often referred to as a frequency spectrum. Any linear...

aspects of the Fourier transform of a function. Whereas Fourier analysis decomposes a function defined on a compact set into the discrete spectrum of the...

transform (AST) also referred to as warped stretch transform is a physics-inspired signal transform that emerged from time stretch dispersive Fourier...

{\displaystyle c=1} are kept fixed by the Fourier transform (they are eigenfunctions of the Fourier transform with eigenvalue 1). A physical realization...

distribution that is discrete, and which provides information about the population distribution. Additionally, the discrete uniform distribution is commonly...

Laplace transform, the Z transform is usually used in the context of one-sided signals, i.e. signals that are zero for t<0. The discrete-time Fourier transform...

Flatau, and Goodman, who applied the fast Fourier transform to solve fast convolution problems arising in the discrete dipole approximation (DDA). This allowed...