A research on fast Hadamard transform (FHT) digital systems

Chen, Anshi; Li, Di; Zhou, Renzhong

doi:10.1109/tencon.1993.328044

Cited by 2 publications

(1 citation statement)

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“…The Hadamard transform uses a Hadamard matrix as its operator and is useful in signalimage processing [49], including signal/image coding/decoding [1,50] and compressive sensing [67]. It could also be useful in image filtering and pattern recognition.…”

Section: Introductionmentioning

confidence: 99%

Piecewise linear regression-based single image super-resolution via Hadamard transform

Sun

Yiu

Jin

et al. 2018

Information Sciences

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Image super-resolution (SR) has extensive applications in surveillance systems, satellite imaging, medical imaging, and ultra-high definition display devices. The state-ofthe-art methods for SR still incur considerable running time. In this paper, we propose a novel approach based on Hadamard pattern and tree search structure in order to reduce the running time significantly. In this approach, LR (low-resolution)-HR (high-resolution) training patch pairs are classified into different classes based on the Hadamard patterns generated from the LR training patches. The mapping relationship between the LR space and the HR space for each class is then learned and used for SR. Experimental results show that the proposed method can achieve comparable accuracy as state-of-the-art methods with much faster running speed. The dataset, pretrained models and source code can be accessed at this URL † .

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Section: Introductionmentioning

confidence: 99%

Piecewise linear regression-based single image super-resolution via Hadamard transform

Sun

Yiu

Jin

et al. 2018

Information Sciences

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Reversible Hadamard transforms

et al. 2007

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A coding method which reconstruct an original digital image without distortion is called "reversible coding". In case of the classical block transform coding (Cosine, Hadamard, Haar and etc) we have to make the number of levels of the transform coefficient very large in order to reconstruct the input signal with no distortion. In this paper we propose reversible Hadamard transform matrices. We give a recursion methods for generation of various type of real and complex reversible Hadamard transform matrices of higher order and corresponding fast transform algorithms.

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A research on fast Hadamard transform (FHT) digital systems

Cited by 2 publications

References 0 publications

Piecewise linear regression-based single image super-resolution via Hadamard transform

Piecewise linear regression-based single image super-resolution via Hadamard transform

Reversible Hadamard transforms

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