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Generation of Antipodal Random Vectors With Prescribed Non-Stationary 2-nd Order Statistics

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Date
2014
Dewey
Traitement du signal
Sujet
Look-Up-Table-based method; antipodal n-dimensional vector
Journal issue
IEEE Transactions on Signal Processing
Volume
62
Number
6
Publication date
2014
Article pages
1603-1612
Publisher
Institute of Electrical and Electronics Engineers
DOI
http://dx.doi.org/10.1109/TSP.2014.2302737
URI
https://basepub.dauphine.fr/handle/123456789/15825
Collections
  • LAMSADE : Publications
Metadata
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Author
Caprara, Alberto
461036 D.E.I. - University of Bologna.
Furini, Fabio
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Lodi, Andrea
102250 Dipartimento di Elettronica, Informatica e Sistemistica [DEIS]
Mangia, Mauro
189988 Advanced Research Center on Electronic Systems for Information and Communication Technologies E. De Castro [Bologna] [ARCES]
Rovatti, Riccardo
461036 D.E.I. - University of Bologna.
Setti, Gianluca
189988 Advanced Research Center on Electronic Systems for Information and Communication Technologies E. De Castro [Bologna] [ARCES]
Type
Article accepté pour publication ou publié
Abstract (EN)
A Look-Up-Table-based method is proposed to generate random instances of an antipodal $n$ -dimensional vector so that its 2-nd order statistics are as close as possible to a given specification. The method is based on linear optimization and exploits column-generation techniques to cope with the exponential complexity of the task. It yields a LUT whose storage requirements are only $ {\cal O}(n^{3})$ and thus are compatible with hardware implementation for non-negligible $n$. Applications are shown in the fields of Compressive Sensing and of Ultra Wide Band systems based on Direct Sequence – Code Division Multiple Acces.

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