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  2. Multidimensional transform - Wikipedia

    en.wikipedia.org/wiki/Multidimensional_transform

    The 2D Z-transform, similar to the Z-transform, is used in multidimensional signal processing to relate a two-dimensional discrete-time signal to the complex frequency domain in which the 2D surface in 4D space that the Fourier transform lies on is known as the unit surface or unit bicircle.

  3. Vector-radix FFT algorithm - Wikipedia

    en.wikipedia.org/wiki/Vector-radix_FFT_algorithm

    It breaks a multidimensional (MD) discrete Fourier transform (DFT) down into successively smaller MD DFTs until, ultimately, only trivial MD DFTs need to be evaluated. [1] The most common multidimensional FFT algorithm is the row-column algorithm, which means transforming the array first in one index and then in the other, see more in FFT.

  4. 2D Z-transform - Wikipedia

    en.wikipedia.org/wiki/2D_Z-transform

    The 2D Z-transform, similar to the Z-transform, is used in multidimensional signal processing to relate a two-dimensional discrete-time signal to the complex frequency domain in which the 2D surface in 4D space that the Fourier transform lies on is known as the unit surface or unit bicircle. [1] The 2D Z-transform is defined by

  5. Two-dimensional window design - Wikipedia

    en.wikipedia.org/wiki/Two-dimensional_window_design

    Also, the circular symmetry is improved considerably in a discrete system. The drawback is that it's computationally inefficient due to the requirement of 2-D inverse Fourier transform and hence less useful in practice. [3] Approach IV. A new method was proposed to design a 2-D window by applying the McClellan transformation to a 1-D window. [7]

  6. Non-uniform discrete Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Non-uniform_discrete...

    In applied mathematics, 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 Fourier transform, but in which the input signal is not sampled at equally spaced points or frequencies (or both).

  7. Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Fourier_transform

    In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output of the transform is a complex-valued function of frequency.

  8. Prime-factor FFT algorithm - Wikipedia

    en.wikipedia.org/wiki/Prime-factor_FFT_algorithm

    The prime-factor algorithm (PFA), also called the Good–Thomas algorithm (1958/1963), is a fast Fourier transform (FFT) algorithm that re-expresses the discrete Fourier transform (DFT) of a size N = N 1 N 2 as a two-dimensional N 1 ×N 2 DFT, but only for the case where N 1 and N 2 are relatively prime.

  9. Two-dimensional infrared spectroscopy - Wikipedia

    en.wikipedia.org/wiki/Two-dimensional_infrared...

    The Fourier transform with respect to provides the excitation spectrum (frequency ). Two-dimensional infrared spectroscopy (2D IR) is a nonlinear infrared spectroscopy technique that has the ability to correlate vibrational modes in condensed-phase systems. This technique provides information beyond linear infrared spectra, by spreading the ...