Title :
A novel dimensionality metric for multi-antenna systems
Author :
Elnaggar, Michel S. ; Safavi-Naeini, Safieddin ; Chaudhuri, Sujeet K.
Author_Institution :
Univ. of Waterloo, Waterloo
Abstract :
We propose a novel dimensionality metric for multi-antenna systems. Being SNR- independent, the metric is suitable for multipath richness comparison of several scenarios having their channel matrices Frobenius-normalized. The metric is based on the equivalence between the given singular values distribution of the normalized channel matrix and those of equi-contribution parallel sub-channels. Under 3 different equivalence criteria (mean, variance or Mean-Square-Error with respect to the optimum singular value), the proposed metric yields the same value, namely, the squared mean of the Frobenius- normalized singular values scaled by a factor (min/max) of the number of the transmit/receive elements.
Keywords :
antenna arrays; matrix algebra; mean square error methods; multipath channels; SNR; channel matrices Frobenius-normalized; dimensionality metric; equi-contribution parallel sub-channels; mean-square-error; multiantenna systems; multipath channel; normalized channel matrix; optimum singular value; singular values distribution; Channel capacity; Channel state information; MIMO; Matrix decomposition; Multipath channels; Ray tracing; Signal to noise ratio; Wireless communication; Channel dimensionality; MIMO systems; multipath channels; ray tracing;
Conference_Titel :
Microwave Conference, 2006. APMC 2006. Asia-Pacific
Conference_Location :
Yokohama
Print_ISBN :
978-4-902339-08-6
Electronic_ISBN :
978-4-902339-11-6
DOI :
10.1109/APMC.2006.4429415
