In mathematical analysis and applications, multidimensional transforms are used to analyze the frequency content of signals in a domain of two or more...

Fast Walsh–Hadamard transform Generalized distributive law Least-squares spectral analysis Multidimensional transform Multidimensional discrete convolution...

spectral analysis List of Fourier-related transforms Multidimensional transform Zak transform Quantum Fourier transform Equivalently, it is the ratio of the...

Hadamard transform can be regarded as being built out of size-2 discrete Fourier transforms (DFTs), and is in fact equivalent to a multidimensional DFT of...

Mellin transform Multidimensional transform NGC 4622, especially the image NGC 4622 Fourier transform m = 2. Nonlocal operator Quantum Fourier transform Quadratic...

_{k=1}^{n}u_{k}\cdot v_{k}} is the scalar product on Rn. The multidimensional transform can be interpreted as an encoding of the convex hull of the function's...

Truchetet, Frederic (2002). "Discrete wavelet transform implementation in Fourier domain for multidimensional signal". Journal of Electronic Imaging. 11...

the Hilbert spectral analysis, known as the Hilbert–Huang transform (HHT). The multidimensional EMD extends the 1-D EMD algorithm into multiple-dimensional...

emerging, such as agriculture. OLAP tools enable users to analyse multidimensional data interactively from multiple perspectives. OLAP consists of three...

{\displaystyle s[n].} Least-squares spectral analysis Multidimensional transform Zak transform In fact Eq.2 is often justified as follows:: p.143, eq...

factors of √2 (see above), this can be used to make the transform matrix orthogonal. Multidimensional variants of the various DCT types follow straightforwardly...

right, where greyscale pixel value denotes numerical quantity. Multidimensional transform Clock and shift matrices Chebotarev theorem on roots of unity...

unrelated to the inverse Fourier transform. The inversion of the NUDFT is a separate problem, discussed below. The multidimensional NUDFT converts a d {\displaystyle...

The Hough transform (/hʌf/) is a feature extraction technique used in image analysis, computer vision, pattern recognition, and digital image processing...

properties of the Multidimensional Fourier Transform. Fourier Transform (FT) of multi-dimensional (MD) signal or system is the transform of the MD signal...

transform appears when one writes the multidimensional Fourier transform in hyperspherical coordinates, which is the reason why the Hankel transform often...

In signal processing, multidimensional discrete convolution refers to the mathematical operation between two functions f and g on an n-dimensional lattice...

processing, multidimensional signal processing covers all signal processing done using multidimensional signals and systems. While multidimensional signal...

In mathematical systems theory, a multidimensional system or m-D system is a system in which not only one independent variable exists (like time), but...

_{2}N} Fast Fourier transform Multidimensional transform Multidimensional sampling Multidimensional discrete convolution Multidimensional filter design and...

discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet transforms, a key advantage...

represented as an organized multidimensional array of numerical values with respect to this specific basis. Changing the basis transforms the values in the array...

include autocorrelation, multi-D Fourier transform, mean square error and entropy. When it comes to multidimensional signals, there are two main approaches:...

analysis, visualization and data preprocessing. The data is linearly transformed onto a new coordinate system such that the directions (principal components)...

Least-squares spectral analysis Multidimensional transform Residue theorem integrals of f(z), singularities, poles Sine and cosine transforms Spectral theory Sturm–Liouville...

The fast Fourier transform (FFT) is an important tool in the fields of image and signal processing. The hexagonal fast Fourier transform (HFFT) uses existing...

Leyman, Abdul Rahim (2000). "Polynomial Transform Algorithms for Multidimensional Discrete Hartley Transform". IEEE International Symposium on Circuits...

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

challenges such as directivity in multidimensional case. The discrete wavelet transform is extended to the multidimensional case using the tensor product...

A multidimensional signal is a function of M independent variables where M ≥ 2 {\displaystyle M\geq 2} . Real world signals, which are generally continuous...