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Multidimensional transform information


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

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Multidimensional transform

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

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Fast Fourier transform

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

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Discrete Fourier transform

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

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Fourier transform

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transform Hartley transform Laplace transform Least-squares spectral analysis Linear canonical transform Mellin transform Multidimensional transform NGC...

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Hadamard transform

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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...

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DFT matrix

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denotes numerical quantity. Multidimensional transform Clock and shift matrices Chebotarev theorem on roots of unity The Transform and Data Compression Handbook...

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Filter bank

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and Frederic Truchetet. "Discrete wavelet transform implementation in Fourier domain for multidimensional signal." Journal of Electronic Imaging 11.3...

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Multidimensional empirical mode decomposition

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

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Discrete cosine transform

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

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Fourier series

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expansion of the j-invariant. Least-squares spectral analysis Multidimensional transform Spectral theory Sturm–Liouville theory Residue theorem integrals...

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Hankel transform

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

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Multidimensional modulation

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

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Online analytical processing

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transaction processing (OLTP). OLAP tools enable users to analyse multidimensional data interactively from multiple perspectives. OLAP consists of three...

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Legendre transformation

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_{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...

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Multidimensional discrete convolution

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

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Multidimensional signal processing

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

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Hough transform

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The Hough transform is a feature extraction technique used in image analysis, computer vision, and digital image processing. The purpose of the technique...

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Discrete transform

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of two-dimensional and in general, multidimensional discrete transforms. List of transforms § Discrete transforms Jerry C. Whitaker (2001). Television...

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Multidimensional system

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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...

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Fractional Fourier transform

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

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Discrete wavelet transform

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

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Wavelet for multidimensional signals analysis

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

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Multirate filter bank and multidimensional directional filter banks

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concepts, principles and applications of Multirate filter banks and Multidimensional Directional filter banks. Linear time-invariant systems typically operate...

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Fast Algorithms for Multidimensional Signals

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

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Multidimensional spectral estimation

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

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Principal component analysis

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

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Discrete Hartley transform

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

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