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 O(n3) 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. © 1991-2012 IEEE.

Generation of antipodal random vectors with prescribed non-stationary 2-nd order statistics / Caprara, A.; Furini, F.; Lodi, A.; Mangia, M.; Rovatti, R.; Setti, G.. - In: IEEE TRANSACTIONS ON SIGNAL PROCESSING. - ISSN 1053-587X. - 62:6(2014), pp. 1603-1612. [10.1109/TSP.2014.2302737]

Generation of antipodal random vectors with prescribed non-stationary 2-nd order statistics

Furini F.;
2014

Abstract

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 O(n3) 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. © 1991-2012 IEEE.
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