Topic
Hadamard transform
About: Hadamard transform is a research topic. Over the lifetime, 7262 publications have been published within this topic receiving 94328 citations.
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TL;DR: The complete solution is given for p = 5, the maximum value is determined for n sufficiently large compared to p and provided certain Hadamard matrices exist.
28 citations
03 Apr 2013
TL;DR: A comparative study based on compression ratio and Peak-Signal-to-Noise-Ratio(PSNR) values of image qualities for corresponding techniques is delivered, which finds the least distortion of PPG signal among 1D signals after retrieval and information extraction from it and ECG signal based on the intermittent relations among ECG and PPG signals.
Abstract: Compression technique plays an important role indiagnosis, prognosis and analysis of ischemic heart diseases.It is also preferable for its fast data sending capability in the field of telemedicine.Various techniques have been proposed over years for compression. Among those Discrete Cosine Transformation(DCT), Discrete Wavelet Transformation(DWT), Fast Fourier Transformation(FFT) andWalsh Hadamard Transformation(WHT) are mostly used.In this paper a comparative study of FFT, DCT, DWT, and WHT is proposed using ECG and PPG signal, whichshows a certain relation between them as discussed in previous papers[1]. Image processing depends on compression which helps in reduction of file size for large data transmission in a stipulated and reduced time. Wavelet analysis provides one of the common goals of image compression, i.e. the signal or image clearance and simplification, which are part of denoising or filtering. Wavelet analysis uses and thus provides long term intervals. In this modern era medicinal therapies has evolved drastically which requires transmission of medical data over long distances under high security with maintaining efficacy. This paper delivers a comparative study based on compression ratio and Peak-Signal-to-Noise-Ratio(PSNR) values of image qualities for corresponding techniques .This study alsoascertains the least distortion of PPG signal among 1D signals after retrieval and information extraction from it and ECG signal based on the intermittent relations among ECG and PPG signals as discussed in other papers.
28 citations
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01 Jan 1979TL;DR: In this article, generalised Hadamard matrices and weighing matrices with entries from abelian groups are constructed for generalised hadamard matrix and weighted matrices, respectively.
Abstract: Constructions are given for generalised Hadamard matrices and weighing matrices with entries from abelian groups.
27 citations
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TL;DR: In this paper, by applying the coincidence degree theory which was first introduced by Mawhin, they obtained an existence result for a class of problem for nonlinear implicit fractional differential equations (IFDE) with Hadamard fractional derivative.
Abstract: In this paper, by applying the coincidence degree theory which was first introduced by Mawhin, we obtain an existence result for a class of problem for nonlinear implicit fractional differential equations (IFDE for short) with Hadamard fractional derivative. We present two examples to show the applicability of our results.
27 citations