Pollock, TonyKennedy, RodneyAbhayapala, Thushara2015-12-13May 22 200http://hdl.handle.net/1885/78319In this paper a novel three dimensional spatial channels model is developed to provide insight into spatial aspects of multiple antenna communication systems. The spherical harmonic representation of wavefields is used to decompose the spatial channel matrix into a product of known and random matrices where the known portion shows the effects of the physical configuration of antenna elements. The model supports any arbitrary antenna array configurations as well as any distribution of scatterers. Possible applications of the model and its usefulness are outlined.Keywords: Antennas; Functions; Harmonic analysis; Polynomials; Radio transmitters; Scattering; Signal processing; Theorem proving; Antenna communication systems; Signaling interval; Spatial regions; Wireless channels; Wireless telecommunication systems20032015-12-11