Channel-eigenvector invariant space time constellations

Author

Shi, Jun ; Wesel, Richard D.

Author_Institution

Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA

Volume

1

fYear

2004

fDate

29 Nov.-3 Dec. 2004

Firstpage

530

Abstract

A channel-eigenvector invariant space-time constellation (CEI-STC) is a set of matrices such that the product of any pairwise difference matrix and its complex conjugate transpose is a scalar matrix. The pairwise error probability of a multi-antenna system equipped with the CEI-STC does not depend on the eigenvectors of the channel matrix. It may, however, depend on the eigenvalues of the channel. The maximum cardinality of a CEI-STC whose entries are restricted to a finite set is studied. A lower bound and an upper bound on the maximum cardinality are obtained.

Keywords

antenna arrays; eigenvalues and eigenfunctions; matrix algebra; receiving antennas; space-time codes; telecommunication channels; transmitting antennas; CEI-STC; cardinality bounds; channel eigenvalues; channel matrix eigenvectors; channel-eigenvector invariant space time constellations; finite set CEI-STC entries; maximum cardinality; multi-antenna system; pairwise difference matrix-complex conjugate transpose product; pairwise error probability; scalar matrix; Channel state information; Eigenvalues and eigenfunctions; Fading; MIMO; Mutual information; Pairwise error probability; Receiving antennas; Transmitters; Transmitting antennas; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Global Telecommunications Conference, 2004. GLOBECOM '04. IEEE

Print_ISBN

0-7803-8794-5

Type

conf

DOI

10.1109/GLOCOM.2004.1378003

Filename

1378003