Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI | http://purl.tuc.gr/dl/dias/F03B2027-A451-4A0A-8F61-132FAB741B18 | - |
| Αναγνωριστικό | http://www.telecom.tuc.gr/~karystinos/paper_TIT3.pdf | - |
| Γλώσσα | en | - |
| Μέγεθος | 13 pages | en |
| Τίτλος | Efficient computation of the binary vector that maximizes a rank-deficient quadratic form | en |
| Δημιουργός | Liavas Athanasios | en |
| Δημιουργός | Λιαβας Αθανασιος | el |
| Δημιουργός | Karystinos,G.N | en |
| Περίληψη | The maximization of a full-rank quadratic form over the binary alphabet can be performed through exponential-complexity exhaustive search. However, if the rank of the form is not a function of the problem size, then it can be maximized in polynomial time. By introducing auxiliary spherical coordinates, we show that the rank-deficient quadratic-form maximization problem is converted into a double maximization of a linear form over a multidimensional continuous set, the multidimensional set is partitioned into a polynomial-size set of regions which are associated with distinct candidate binary vectors, and the optimal binary vector belongs to the polynomial-size set of candidate vectors. Thus, the size of the candidate set is reduced from exponential to polynomial. We also develop an algorithm that constructs the polynomial-size candidate set in polynomial time and show that it is fully parallelizable and rank-scalable. Finally, we demonstrate the efficiency of the proposed algorithm in the context of adaptive spreading code design. | en |
| Τύπος | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Τύπος | Conference Full Paper | en |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2015-11-08 | - |
| Ημερομηνία Δημοσίευσης | 2008 | - |
| Βιβλιογραφική Αναφορά | G. N. Karystinos and A. P. Liavas.(2008).Efficient computation of the binary vector that maximizes a rank-deficient quadratic form.Presented at IEEE International Conference on Acoustics, Speech, and Signal Processing.[online].Available:http://www.telecom.tuc.gr/~karystinos/paper_TIT3.pdf | en |
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