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Intrinsic Finite Dimensionality of Random Multipath Fields

Sadeghi, Parastoo; Kennedy, Rodney; Abhayapala, Thushara


We study the dimensions or degrees of freedom of random multipath fields in wireless communications. Random multipath fields are presented as solutions to the wave equation in an infinite-dimensional vector space. We prove a universal bound for the dimension of random multipath field in the mean square error sense. The derived maximum dimension is directly proportional to the radius of the two-dimensional spatial region where the field is coupled to. Using the Karhunen-Loeve expansion of...[Show more]

CollectionsANU Research Publications
Date published: 2006
Type: Conference paper
Source: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006)


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