Archivio Istituzionale della RicercaA 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
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. - In: IEEE TRANSACTIONS ON SIGNAL PROCESSING. - ISSN 1053-587X. - STAMPA. - 62:(2014), pp. 1603-1612. [10.1109/TSP.2014.2302737]
Generation of Antipodal Random Vectors With Prescribed Non-Stationary 2-nd Order Statistics
Gianluca Setti
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
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https://hdl.handle.net/11583/2696581
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