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A Combinatorial construction of the Gray map over Galois rings
Discrete Mathematics, 2009 A Gray map is defined to be a weight preserving map from \(\mathbb{R}^n\) with the homogeneous weight to \(F^m\) with the Hamming weight where \(R\) is a ring and \(F\) is a field. Gray maps are an extremely important object of study in coding theory and are one of the reasons why codes over rings have become increasingly studied.
Bahattin Yıldız
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Improvements to APSK constellation with gray mapping
2014 IEEE International Symposium on Broadband Multimedia Systems and Broadcasting, 2014Amplitude phase shift keying (APSK) constellation with gray mapping proposed in [2] provides considerable shaping gain compared with quadrature amplitude modulation (QAM). In this paper, some improvements to APSK Constellation with gray mapping are addressed.
Dazhi He +6 more
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Gray matters! — Mapping the transition to psychosis
Schizophrenia Research, 2011Despite many neuroimaging studies on schizophrenia showing brain abnormalities the exact time course of their occurrence is unknown. Studies of gray matter are a powerful tool in biological psychiatry and provide an unprecedented opportunity for brain structure investigations.
Borgwardt, Stefan +2 more
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Gray scale processing of hydrographic maps
Proceedings of 13th International Conference on Pattern Recognition, 1996This paper investigates how gray scale information can be used in a hydrographic map understanding system to improve the system performance. To process gray scale scanned map images, we have implemented a topographic analysis method and a binary analysis method.
Øivind Due Trier +2 more
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(Gray) Mappings for Bit-Interleaved Coded Modulation
2007 IEEE 65th Vehicular Technology Conference - VTC2007-Spring, 2007Mappings for square quadrature amplitude modulation (QAM) are investigated in terms of the achievable capacity in bit-interleaved coded modulation (BICM). In G. Caire et al. (1998) it is conjectured that Gray labelings maximize this capacity. However, Gray mappings are not unique and it can be shown that the conjecture cannot hold in general for QAM ...
Clemens Stierstorfer +1 more
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On MAP optimality of gray-scale morphological filters
Proceedings of 3rd IEEE International Conference on Image Processing, 2002The estimation of finite-gray-scale digital images corrupted by supremum/infimum noise is posed within the statistical framework of discrete random functions (DRF). It is shown that morphological operators such as openings, closings, supremum of openings and infimum of closings are optimal Maximum-A-Posteriori (MAP) estimators under the assumption that
Balvinder Singh, M. U. Siddiqi
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Global Bifurcation Map of the Homogeneous States in the Gray–Scott Model [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2017 We study the spatially homogeneous time-dependent solutions and their bifurcations in the Gray–Scott model. We find the global map of bifurcations by a combination of rigorous verification of the existence of Takens–Bogdanov and a Bautin bifurcation, in the space of two parameters [Formula: see text]–[Formula: see text].
Lucia Ivonne Hernandez-Martinez
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On the pseudorandomness of binary and quaternary sequences linked by the gray mapping
Periodica Mathematica Hungarica, 2010The Gray mapping provides a correspondence between quaternary sequences on the symbols \(\{1, -1, i, -i\}\) and pairs of binary sequences on the symbols \(\{1, -1\}\). If the quaternary sequence is \(G_N=(g_1, \ldots,g_N)\), the associated binary sequences are given by \(e_n={1\over2}((1-i)g_n+(1+i)\overline{g_n})\) and \(f_n={1\over2}((1+i)g_n+(1-i ...
Radwa Marzouk, Arne Winterhof
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Gray-scale thinning by using a pseudo-distance map
18th International Conference on Pattern Recognition (ICPR'06), 2006In this paper, the algorithm for thinning of grey-scale images is proposed that is based on a pseudo-distance map (PDM). The PDM is a simplified distance map of gray-scale image and uses only that features of image and objects that are necessary to build a skeleton.
A Nedzved, S Ablameyko
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Simplified universal soft demapper for gray-mapped constellation
2015 International Wireless Communications and Mobile Computing Conference (IWCMC), 2015Bit-interleaved coded modulation (BICM) systems with high order constellations and signal space diversity (SSD) are deployed in DVB-T2 and recommended for potential use in 3GPP-LTE standards for its high spectral efficiency and diversity gain. However, in such systems, previous soft demapping algorithms show either extremely high computational ...
Shuang Chen 0004 +2 more
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