Name
Title | ||
|---|---|---|
Randomized Algorithms for Optimal Solutions of Double-Sided QCQP With Applications in Signal Processing |
Abstract | ||
|---|---|---|
Quadratically constrained quadratic programming (QCQP) with double-sided constraints has plenty of applications in signal processing as have been addressed in recent years. QCQP problems are hard to solve, in general, and they are typically approached by solving a semidefinite programming (SDP) relaxation followed by a postprocessing procedure. Existing postprocessing schemes include Gaussian randomization to generate an approximate solution, rank reduction procedure (the so-called purification), and some specific rank-one matrix decomposition techniques to yield a globally optimal solution. In this paper, we propose several randomized postprocessing methods to output not an approximate solution but a globally optimal solution for some solvable instances of the double-sided QCQP (i.e., instances with a small number of constraints). We illustrate their applicability in robust receive beamforming, radar optimal code design, and broadcast beamforming for multiuser communications. As a byproduct, we derive an alternative (shorter) proof for the Sturm-Zhang rank-one matrix decomposition theorem. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TSP.2013.2297683 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
signal processing,gaussian processes,quadratic programming,semidefinite programming (sdp) relaxation,multicast downlink beamforming,optimal solutions,matrix algebra,robust receive beamforming,signal processing applications,homogeneous quadratically constrained quadratic program (qcqp),semidefinite programming,gaussian randomization,double sided qcqp,sturm-zhang rank-one matrix decomposition theorem,randomized algorithms,sdp,optimal radar waveform,quadratically constrained quadratic programming,radar,robustness,vectors,interference | Second-order cone programming,Signal processing,Randomized algorithm,Beamforming,Mathematical optimization,Quadratically constrained quadratic program,Matrix decomposition,Quadratic programming,Semidefinite programming,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 5 | 1053-587X |
Citations | PageRank | References |
23 | 0.89 | 28 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yongwei Huang | 1 | 814 | 50.83 |
| Daniel Pérez Palomar | 2 | 2146 | 134.10 |