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Relationship between the Fermat number transform and the Walsh-Hadamard transform
IEE Proceedings G Circuits, Devices and Systems, 1989In the paper the relationship between the Walsh-Hadamard transform (WHT) and the Fermat number transform (FNT) is investigated. An interesting connection between the two transforms is revealed. This has led to the derivation of a block diagonal matrix which allows the computation of the FNT from the WHT and vice versa. The number of operations required
A.G.J. Holt, Said Boussakta
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Fast reconstructed and high-quality ghost imaging with fast Walsh–Hadamard transform
, 2016In this paper, we propose a ghost imaging scheme with fast Walsh–Hadamard transform, named GIFWHT. In the scheme, Walsh–Hadamard pattern pairs are used to illuminate an object to generate pairs of detection results, and the corresponding differential ...
Le Wang, Shengmei Zhao
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On the Walsh-Hadamard Transform and Prime Implicant Extraction
IEEE Transactions on Electromagnetic Compatibility, 1978The Walsh-Hadamard transform (WHT) provides a one-to-one mapping of n-variable Boolean functions onto an n-dimensional transform space. As such, it enables synthesis procedures to be carried out in the transform domain. This short paper discusses the role of the WHT in extracting prime implicants, which is pertinent to the overall minimization problem.
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Relations between Haar and Walsh/Hadamard transforms
Proceedings of the IEEE, 1972Relations between the Haar and Walsh/Hadamard (W/H) transforms, which are proved, show that for some applications the Haar transform performs as well as, and faster than, the W/H transform. These relations yield a family of orthogonal transforms including the Haar and W/H transforms with a common fast algorithm.
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Recursive quantum circuits for generating sequency ordering Walsh–Hadamard transform
Physica A: Statistical Mechanics and its Applications, 2023Xiao Chen+3 more
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Secure medical image encryption with Walsh–Hadamard transform and lightweight cryptography algorithm
Medical and Biological Engineering and Computing, 2022Ömer Kasım
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Recursive Algorithm for Sliding Walsh Hadamard Transform
IEEE Transactions on Signal Processing, 2014In this paper, a recursive sliding transform (RST) algorithm is proposed for the fast implementation of the Walsh Hadamard Transform (WHT) on sliding windows. The proposed RST algorithm accelerates the sliding WHT process by recursively reducing the order of WHT.
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A high-efficiency blind watermarking algorithm for double color image using Walsh Hadamard transform
The Visual Computer, 2021Siyu Chen+3 more
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ECG Biometric Analysis Using Walsh–Hadamard Transform
2018The electrocardiogram (ECG) signal expresses unique cardiac features among individuals. This paper proposes a novel method to human identification using ECG. The proposed method utilizes a band-pass filter for quality check and autocorrelation (AC) for feature extraction.
Ranjeet Srivastva, Yogendra Singh
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