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: In this paper, a multilevel zero correlation zone (ZCZ) sequence is derived for CDMA systems and other applications based on the multi-level Hadamard matrices.
Abstract: Constructions of multilevel Hadamard matrices are presented. Based on the multilevel Hadamard matrices, multilevel zero correlation zone sequences which are useful in quasi-synchronous CDMA systems and other applications are derived.
26 citations
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TL;DR: The backward-backward algorithm is a tool for finding minima of a regularization of the sum of two convex functions in Hilbert spaces as mentioned in this paper, and it has been generalized to Hadamard spaces and proved the convergence of an error-tolerant version of the backward backward method.
26 citations
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TL;DR: In this paper, the Hadamard transform was compared to the Fourier transform, with the comparison of the two transformations made by the same author and the author's colleagues. But,
Abstract: Discussion of mathematical transformations, focussing on the Hadamard transform, with comparisons to Fourier transform.
26 citations
05 Dec 1996
TL;DR: Results of the NRL analysis using both the Allan and Hadamard variances for several operational GPS rubidium frequency standard, as well as results from the recent operational use of the hadamard-Q equation, by 2 SOPS personnel, are presented.
Abstract: : With upcoming GPS Block IIR hunches scheduled, rubidium clock estimation will require more attention than ever before during the next decade of GPS operations GPS Master Control Station (MCS) estimation architecture relies on a three-state polynomial clock model, which does not include a time-variant decay parameter for frequency drift Since current GPS rubidium frequency standard exhibit signifiant time-dependent frequency drift changes, the MCS is compelled to make precise utilization of the random run process noise parameter, known as q sub 3 The work of various scientists over the past three decades has shown the Hadamard variance to converge for random run FM At PTTI '95, the 2d Space Operations Squadron (2 SOPS) introduced an algorithm that presented a simple, convergent polynomial relationship between the Hadamard variance and the MCS's Kalman filter process noise parameters Until recently, however, neither the Hadamard variance nor the Hadamard-Q equation had actually been put to use in GPS The Naval Research Laboratory (NRL) has now created analysis software designed to employ the Hadamard variance in their GPS clock analyses, to supplement their already existing software, which makes use of the Allan variance This paper presents results of the NRL analysis using both the Allan and Hadamard variances for several operational GPS rubidium frequency standard, as well as results from the recent operational use of the Hadamard-Q equation, by 2 SOPS personnel, based on the NRL analysis data
26 citations