The short-time Fourier transform (STFT) is a Fourier-related transform used to determine the sinusoidal frequency and phase content of local sections of...

In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input then outputs another function that describes the extent...

generalizations of the Fourier transform, such as the short-time Fourier transform, the Gabor transform or fractional Fourier transform (FRFT), or can use...

fractional Fourier transform (FRFT) is a family of linear transformations generalizing the Fourier transform. It can be thought of as the Fourier transform to...

In mathematics the finite Fourier transform may refer to either another name for discrete-time Fourier transform (DTFT) of a finite-length series.  E.g...

mathematics and Fourier analysis, a rectangular mask short-time Fourier transform (rec-STFT) has the simple form of short-time Fourier transform. Other types...

sine transform. Hartley transform Short-time Fourier transform (or short-term Fourier transform) (STFT) Rectangular mask short-time Fourier transform Chirplet...

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

of such a representation is the windowed Fourier transform (also known as the short-time Fourier transform) which localises the signal by modulating...

The Gabor transform, named after Dennis Gabor, is a special case of the short-time Fourier transform. It is used to determine the sinusoidal frequency...

his collaborators (see References). Here we consider 1-D discrete Fourier transform (DFT) phase retrieval problem. The DFT of a complex signal f [ n ]...

lowest filter, and n is the number of filters per octave. The short-time Fourier transform of x[n] for a frame shifted to sample m is calculated as follows:...

Fourier-transform spectroscopy (FTS) is a measurement technique whereby spectra are collected based on measurements of the coherence of a radiative source...

the Fourier transform – and the fact that two-fold Fourier transform reverses direction – can be interpreted by considering the Fourier transform as a...

for such use. Time–frequency analysis is extended from the classic Fourier approach. Short-time Fourier transform (STFT), Gabor transform (GT) and Wigner...

transform is a generalization of the short-time Fourier transform (STFT), extending the continuous wavelet transform and overcoming some of its disadvantages...

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

Fourier transform infrared spectroscopy (FTIR) is a technique used to obtain an infrared spectrum of absorption or emission of a solid, liquid, or gas...

other transforms, most notably the Fourier transform and the Mellin transform. Formally, the Laplace transform is converted into a Fourier transform by the...

data Reciprocal space Short-time Fourier transform Time–frequency representation Time–frequency analysis Wavelet Wavelet transform – digital image processing...

transform Set partitioning in hierarchical trees Short-time Fourier transform Stationary wavelet transform Time–frequency representation Wavelet Meyer, Yves...

the Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups. The Fourier transform...

technique for sharpening a time-frequency representation (e.g. spectrogram or the short-time Fourier transform) by mapping the data to time-frequency coordinates...

Dynamic time warping Dynamic Bayesian network Time-frequency analysis techniques: Fast Fourier transform Continuous wavelet transform Short-time Fourier transform...

In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex...

same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency. The interval...

with the time and frequency axes that are typical for waves (Fourier and short-time Fourier transforms) or wavelets. The chirplet transform thus represents...

which Fourier inversion recovers a function from its Fourier transform Short-time Fourier transform or short-term Fourier transform (STFT), a Fourier transform...

continuous-time Fourier transform is evaluated on the s-domain's vertical axis (the imaginary axis), the discrete-time Fourier transform is evaluated...

The Fourier transform is also part of Fourier analysis, but is defined for functions on R n {\displaystyle \mathbb {R} ^{n}} . Since Fourier's time, many...