Title | ||
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Generation of Antipodal Random Vectors With Prescribed Non-Stationary 2-nd Order Statistics |
Abstract | ||
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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 |
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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. | 1 | 6 | 0.47 |
Furini, F. | 2 | 6 | 0.47 |
Andrea Lodi | 3 | 2198 | 152.51 |
Mangia, M. | 4 | 32 | 1.95 |