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

Caprara, Alberto; Furini, Fabio; Lodi, Andrea; Mangia, Mauro; Rovatti, Riccardo; Setti, Gianluca (2014), Generation of Antipodal Random Vectors With Prescribed Non-Stationary 2-nd Order Statistics, IEEE Transactions on Signal Processing, 62, 6, p. 1603-1612. 10.1109/TSP.2014.2302737

Type
Article accepté pour publication ou publié
Date
2014
Journal name
IEEE Transactions on Signal Processing
Volume
62
Number
6
Publisher
Institute of Electrical and Electronics Engineers
Pages
1603-1612
Publication identifier
Metadata
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Author(s)
Caprara, Alberto

Furini, Fabio
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Lodi, Andrea
Dipartimento di Elettronica, Informatica e Sistemistica [DEIS]
Mangia, Mauro
Advanced Research Center on Electronic Systems for Information and Communication Technologies E. De Castro [Bologna] [ARCES]
Rovatti, Riccardo

Setti, Gianluca
Advanced Research Center on Electronic Systems for Information and Communication Technologies E. De Castro [Bologna] [ARCES]
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.
Subjects / Keywords
Look-Up-Table-based method; antipodal n-dimensional vector