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Source-field Wave-field Concentration and Dimension: Towards Spatial Information Content

Summary: Source-field Wave-field Concentration and Dimension:
Towards Spatial Information Content
Rodney A. Kennedy and Thushara D. Abhayapala
Department of Telecommunications Engineering, RSISE
The Australian National University and National ICT Australia1
Canberra ACT 0200 Australia
Abstract -- Using a spatial region as an information
bearing resource is considered and an analogy drawn
with the work on essentially time- and band-limited
signals by Slepian, Landau and Pollack.
I. Introduction
A central result in information theory relates to time-
frequency concentration and the essential dimensionality of
time-frequency signals governed by the Fourier Transform [1].
When constrained in both time and frequency there is a limit
to the degree of concentration, as measure by fraction-out-
of-band energy (FOBE), of energy simultaneously possible in
the two domains. This is a form of uncertainty principle where
the criterion for time-frequency concentration differs from the
classical Heisenberg formulation which expresses signal con-


Source: Abhayapala, Thushara D. - Department of Information Engineering, Australian National University


Collections: Computer Technologies and Information Sciences