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Eigenspaces of the discrete Walsh transform
Problems of Information Transmission, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discrete Wavelet Transforms in Walsh Analysis
Journal of Mathematical Sciences, 2021This paper presents a review of discrete wavelet transforms defined through generalized Walsh functions, including orthogonal discrete wavelet transform, biorthogonal discrete wavelet transform, nonstationary discrete wavelet transform, and periodic discrete wavelet transform, and show their applications in image processing, compression of fractal ...
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Cache conscious Walsh-Hadamard transform
2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), 2002The Walsh-Hadamard Transform (WHT) is an important algorithm in signal processing because of its simplicity. However, in computing large size WHT, non-unit stride access results in poor cache performance leading to severe degradation in performance. This poor cache performance is also a critical problem in achieving high performance in other large size
Neungsoo Park, Viktor K. Prasanna
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Application of Walsh Transform to Statistical Analysis
IEEE Transactions on Systems, Man, and Cybernetics, 1971Harmonic analysis of probability distribution functions has long served an important function in the treatment of stochastic systems. The tasks of generating moments and distributions of sums have been effectively executed in the Fourier spectrum. The properties of the Walsh-Hadamard transform of probability functions of discrete random variables is ...
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Image registration using the Walsh transform
IEEE Transactions on Image Processing, 2006This paper presents a new algorithm which can be used to register images of the same or different modalities, e.g., images with multiple channels, such as X-rays, temperature or elevation, or simply images of different spectral bands. In particular, a correlation-based scheme is used, but instead of gray values, it correlates numbers formulated by ...
G. Lazaridis, Maria Petrou
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Properties and fast transforms for generalized Walsh transform
Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 2002Fast forward and inverse transforms for recently introduced Generalized Walsh Transform have been presented. The way of recursive generation of transform matrices by using Kronecker products of elementary matrices have been given. Mutual relations among transform matrices and spectra for arbitrary polarities have been investigated. >
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1975
This chapter is devoted to the study of the Walsh-Hadamard transform (WHT), which is perhaps the most well-known of the nonsinusoidal orthogonal transforms. The WHT has gained prominence in various digital signal processing applications, since it can essentially be computed using additions and subtractions only. Consequently its hardware implementation
Nasir Ahmed, Kamisetty Ramamohan Rao
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This chapter is devoted to the study of the Walsh-Hadamard transform (WHT), which is perhaps the most well-known of the nonsinusoidal orthogonal transforms. The WHT has gained prominence in various digital signal processing applications, since it can essentially be computed using additions and subtractions only. Consequently its hardware implementation
Nasir Ahmed, Kamisetty Ramamohan Rao
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Parseval Frames and the Discrete Walsh Transform
Mathematical Notes, 2019Suppose that \(N=2^n\), where \(n\) is a natural number. Denote by \(C_{N}\) the space of complex \(N\)-periodic sequences with standard inner product. For any \(N\)-dimensional complex nonzero vector \((b_0,b_1,\dots,b_{N-1})\) satisfying the condition \[ |b_{l}|^2+|b_{l+2^{n-1}}|^2\leq(2/(N^2)),\quad l=0,1,\dots,2^{n-1}-1, \] the authors find ...
Farkov, Yu. A., Robakidze, M. G.
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IEEE Transactions on Electromagnetic Compatibility, 1976
A special case of FWT is examined where a scheme is devised to replace a single high-order FWT by consecutive FWT's of much lower order. This special case of the usual decimation-in-frequency approach to fast transforms [1] results in a reduction of transform order, which may have useful applications in processing signals in localized sequency regions.
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A special case of FWT is examined where a scheme is devised to replace a single high-order FWT by consecutive FWT's of much lower order. This special case of the usual decimation-in-frequency approach to fast transforms [1] results in a reduction of transform order, which may have useful applications in processing signals in localized sequency regions.
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Cal-sal Walsh-Hadamard transform
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1978Walsh-Hadamard matrices are rearranged such that the first half of the rows represents cal functions in increasing order of sequency whereas the second half represents sal functions in decreasing order of sequency. The transform based on this rearrangement is called the Cal-Sal Walsh-Hadamard transform or (WHT) cs .
Rao, K. R. +3 more
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