Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI | http://purl.tuc.gr/dl/dias/0B5F5D2F-11FA-4B7D-A082-34F997C7DE95 | - |
| Αναγνωριστικό | https://doi.org/10.1109/TCOMM.2014.012414.130439 | - |
| Γλώσσα | en | - |
| Μέγεθος | 14 | en |
| Τίτλος | Fixed-rank rayleigh quotient maximization by an MPSK sequence | en |
| Δημιουργός | Kyrillidis Anastasios | en |
| Δημιουργός | Karystinos Georgios | en |
| Δημιουργός | Καρυστινος Γεωργιος | el |
| Εκδότης | Institute of Electrical and Electronics Engineers | en |
| Περιγραφή | Δημοσίευση σε επιστημονικό περιοδικό | el |
| Περίληψη | Certain optimization problems in communication systems, such as limited-feedback constant-envelope beamforming or noncoherent M-ary phase-shift keying (MPSK) sequence detection, result in the maximization of a fixed-rank positive semidefinite quadratic form over the MPSK alphabet. This form is a special case of the Rayleigh quotient of a matrix and, in general, its maximization by an MPSK sequence is mathcal{NP}-hard. However, if the rank of the matrix is not a function of its size, then the optimal solution can be computed with polynomial complexity in the matrix size. In this work, we develop a new technique to efficiently solve this problem by utilizing auxiliary continuous-valued angles and partitioning the resulting continuous space of solutions into a polynomial-size set of regions, each of which corresponds to a distinct MPSK sequence. The sequence that maximizes the Rayleigh quotient is shown to belong to this polynomial-size set of sequences, thus efficiently reducing the size of the feasible set from exponential to polynomial. Based on this analysis, we also develop an algorithm that constructs this set in polynomial time and show that it is fully parallelizable, memory efficient, and rank scalable. The proposed algorithm compares favorably with other solvers for this problem that have appeared recently in the literature. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2015-10-23 | - |
| Ημερομηνία Δημοσίευσης | 2014 | - |
| Θεματική Κατηγορία | Algorithms | en |
| Θεματική Κατηγορία | MIMO systems | en |
| Θεματική Κατηγορία | Rayleigh quotient | en |
| Θεματική Κατηγορία | maximum likelihood detection | en |
| Θεματική Κατηγορία | noncoherent communication | en |
| Θεματική Κατηγορία | optimization methods | en |
| Θεματική Κατηγορία | phase shift keying | en |
| Θεματική Κατηγορία | sequences | en |
| Βιβλιογραφική Αναφορά | A. Kyrillidis and G. N. Karystinos,"Fixed-rank rayleigh quotient maximization by an MPSK sequence," IEEE Transactions on Communications, vol. 62, no. 3, pp. 961 - 975, Mar. 2014. doi: 10.1109/TCOMM.2014.012414.130439 | en |
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