Title :
Distortion-rate tradeoff of a source uniformly distributed over the Composite PF(N) and the composite stiefel manifolds
Author :
Krishnamachari, Rajesh T. ; Varanasi, Mahesh K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Colorado, Boulder, CO, USA
fDate :
June 28 2009-July 3 2009
Abstract :
To model the benefit accrued due to limited rate feedback on the information transfer of optimal `input covariance matrices´ from a channel-aware receiver to the transmitting users in a multiple-access channel, we study the distortion-rate tradeoff of a source uniformly distributed over multivariate generalizations of PF(n,p2) (the set of positive semi-definite matrices with a trace constraint) and Vn,k ¿ (the classical Stiefel surface) manifolds. Using sphere-packing and random coding arguments, the distortion-rate function is bounded within asymptotically tight limits.
Keywords :
covariance matrices; distortion; multi-access systems; receivers; Stiefel surface; channel-aware receiver; composite PF(N) manifold; composite Stiefel manifold; distortion-rate function; distortion-rate tradeoff; information transfer; limited rate feedback; multiple-access channel; multivariate generalization; optimal input covariance matrices; positive semidefinite matrices; random coding; sphere-packing; trace constraint; Broadcasting; Covariance matrix; Distributed computing; Fading; Feedback; Helium; Information theory; MIMO; Rate-distortion; Transmitters; Composite Stiefel manifold; Distortion-rate tradeoff; Positive definite matrices;
Conference_Titel :
Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Conference_Location :
Seoul
Print_ISBN :
978-1-4244-4312-3
Electronic_ISBN :
978-1-4244-4313-0
DOI :
10.1109/ISIT.2009.5205724
