Title :
Space-time cut-off rate for the flat Rayleigh fading channel
Author :
Hero, Alfred O. ; Marzetta, Thomas L.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
The computational cut-off rate is studied for the complex Rayleigh flat fading spatio-temporal channel under a peak power constraint. Any optimal finite constellation of signals must admit an equalizer distribution which equalizes the conditional decoding error probabilities. For small constellations the set of equiprobable mutually-orthogonal unitary matrices attains cut-off rate. For low SNR these matrices are rank one and a single transmit antenna is as good as multiple antennas
Keywords :
Rayleigh channels; antenna arrays; antenna theory; decoding; equalisers; matrix algebra; transmitting antennas; SNR; complex Rayleigh flat fading spatio-temporal channel; computational cut-off rate; conditional decoding error probabilities; equalizer distribution; equiprobable mutually-orthogonal unitary matrices; flat Rayleigh fading channel; multiple antennas; peak power constraint; space-time cut-off rate; transmit antenna; Constellation diagram; Decoding; Equalizers; Error probability; Fading; Frequency; Receiving antennas; Space technology; Transmitters; Transmitting antennas;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866661
