Title
Generation of Antipodal Random Vectors With Prescribed Non-Stationary 2-nd Order Statistics
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 $ {\\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.
Year
DOI
Venue
2014
10.1109/TSP.2014.2302737
IEEE Transactions on Signal Processing
Keywords
Field
DocType
code division multiple access,compressed sensing,linear programming,random processes,spread spectrum communication,statistics,table lookup,vectors,LUT,antipodal n-dimensional random vector generation,column-generation technique,compressive sensing,direct sequence-code division multiple access,linear optimization,look-up-table-based method,prescribed nonstationary 2nd order statistics,ultrawideband system,Compressed sensing,correlation,signal design,signal generators,spread spectrum
Lookup table,Mathematical optimization,Algorithm,Stochastic process,Chip,Theoretical computer science,Linear programming,Order statistic,Antipodal point,Code division multiple access,Mathematics,Compressed sensing
Journal
Volume
Issue
ISSN
62
6
1053-587X
Citations 
PageRank 
References 
6
0.47
9
Authors
4
Name
Order
Citations
PageRank
Caprara, A.160.47
Furini, F.260.47
Andrea Lodi32198152.51
Mangia, M.4321.95