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On Lovász’ lattice reduction and the nearest lattice point problem
This is the full version of the author's paper announced in Lect. Notes Comput. Sci. 182, 13-20 (1985; Zbl 0569.10015).
László Babai
exaly +4 more sources
Polynomial-phase estimation, phase unwrapping and the nearest lattice point problem
Polynomial-phase signals have attracted significant interest due to their applicability to radar, sonar, geophysics, and radio communication. In this paper we introduce a new technique for estimating the parameters of polynomial phase signals. The parameters are estimated by performing phase unwrapping in a least squares manner.
McKilliam, Robby G. +3 more
exaly +6 more sources
Frequency estimation, phase unwrapping and the nearest lattice point problem
In this paper, we examine the relationship between frequency estimation and phase unwrapping and a problem in algorithmic number theory known as the nearest lattice point problem. After briefly reviewing the theory of these three topics, we introduce an interpretation of the maximum likelihood frequency estimation problem as a nearest lattice point ...
I. Vaughan L. Clarkson
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On Lovász' lattice reduction and the nearest lattice point problem
Answering a question of Vera Sos, we show how Lovasz' lattice reduction can be used to find a point of a given lattice, nearest within a factor of cd (c = const.) to a given point in Rd. We prove that each of two straightforward fast heuristic procedures achieves this goal when applied to a lattice given by a Lovasz-reduced basis.
László Babai
openaire +2 more sources
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Interactive Nearest Lattice Point Search in a Distributed Setting: Two Dimensions
IEEE Transactions on Communications, 2022Vinay A Vaishampayan, Maiara F Bollauf
exaly
Clipping algorithms for solving the nearest point problem over reduced convex hulls
Pattern Recognition, 2011Jose R Dorronsoro
exaly
An Algorithm to Compute the Nearest Point in the Lattice $A_{n}^*$
IEEE Transactions on Information Theory, 2008Robby G Mckilliam +2 more
exaly

