Differences in skeletal growth patterns: an exploratory approach using elliptic Fourier analysis
Sign Up to like & getrecommendations! Published in 2020 at "Clinical Oral Investigations"
DOI: 10.1007/s00784-020-03509-9
Abstract: Apply elliptic Fourier analysis to find shape differences among the hypodivergent, normodivergent, and hyperdivergent growth patterns in skeletal classes I, II and, III in mandibular and maxillary curves and evaluate the discriminatory capacity of these… read more here.
Keywords: classes iii; fourier analysis; elliptic fourier; growth patterns ... See more keywords
From a Random Polygon in $$\mathbb {R}^m$$Rm to an Ellipse: A Fourier Analysis of Iterated Circular Convolutions
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-017-0320-x
Abstract: We consider random, skew, N-gons in $$\mathbb {R}^m$$Rm, having zero centroids. We investigate a normalized, midpoint averaging transformation, repeatedly applied to the original polygon, which we identify with a normalized circular convolution modulo N. The… read more here.
Keywords: polygon; ellipse; circular convolutions; case ... See more keywords
Fourier Analysis of MAC Polarization
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DOI: 10.1109/isit.2015.7282691
Abstract: One problem with multiple access channel (MAC) polar codes that are based on MAC polarization is that they may not achieve the entire capacity region. The reason behind this problem is that MAC polarization sometimes… read more here.
Keywords: capacity region; analysis mac; polarization; fourier analysis ... See more keywords
Fourier-Analysis-Based Form of Normalized Maximum Likelihood: Exact Formula and Relation to Complex Bayesian Prior
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DOI: 10.1109/tit.2021.3088304
Abstract: Normalized maximum likelihood (NML) distribution of probabilistic model gives the optimal code length function in the sense of minimax regret. Despite its optimal property, the calculation of NML distribution is not easy, and existing efficient… read more here.
Keywords: maximum likelihood; fourier analysis; distribution; nml distribution ... See more keywords
Hermite Functions, Lie Groups and Fourier Analysis
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DOI: 10.3390/e20110816
Abstract: In this paper, we present recent results in harmonic analysis in the real line R and in the half-line R+, which show a closed relation between Hermite and Laguerre functions, respectively, their symmetry groups and… read more here.
Keywords: hermite functions; analysis; lie groups; fourier analysis ... See more keywords