Title :
Stochastic constructions of equiangular tight frames
Author :
Isaacs, Jason C.
Author_Institution :
Sensing Sci. Div., Naval Surface Warfare Center, Panama City, FL, USA
Abstract :
Equiangular tight frames have applications in communications, signal processing, and coding theory. Previous work demonstrates that few real equiangular tight frames exist for most pairs (n,d). This work compares three stochastic solutions to the frame design problem, specifically, the problem of designing real equiangular tight frames by minimizing the subspace minor angle sum-squared error. Numerical experiments show that particle swarm optimization outperforms genetic algorithms and the cross-entropy method for equiangular tight frame constructions for pairs (d+1,d) with d less than nine and specific pairs (n,d) where an equiangular tight frame is known to exist.
Keywords :
encoding; genetic algorithms; particle swarm optimisation; signal processing; coding theory; equiangular tight frame; particle swarm optimization; signal processing; stochastic construction; Cost function; Gallium; Genetic algorithms; Information theory; Particle swarm optimization; Smoothing methods; Equiangular tight frames; cross-entropy; genetic algorithms; particle swarm optimization;
Conference_Titel :
Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop (DSP/SPE), 2011 IEEE
Conference_Location :
Sedona, AZ
Print_ISBN :
978-1-61284-226-4
DOI :
10.1109/DSP-SPE.2011.5739188