On the asymptotic performance of the decorrelator

Author

Eldar, Yonina C. ; Chan, Albert M.

Author_Institution

Res. Lab. of Electron., Massachusetts Inst. of Technol., Cambridge, MA, USA

Volume

49

Issue

9

fYear

2003

Firstpage

2309

Lastpage

2313

Abstract

We derive the asymptotic signal-to-interference ratio (SIR) of the decorrelator in the large system limit, both for the case in which the number of users exceeds the spreading gain and for the case in which the number of users is less than the spreading gain. We show that, contrary to what is claimed by Tse and Hardy (see ibid., vol.45, p.641-57, Mar. 1999) and by Tse and Zeitouni (see ibid., vol.46, p.171-188, Jan. 2000) when the number of users exceeds the spreading gain and the decorrelator is defined in terms of the Moore-Penrose pseudoinverse, the SIR does not converge to zero.

Keywords

code division multiple access; decorrelation; interference (signal); inverse problems; matrix algebra; multiuser detection; spread spectrum communication; CDMA; Moore-Penrose pseudoinverse; SIR; asymptotic performance; asymptotic signal-to-interference ratio; code-division multiple access; decorrelator; large system limit; matrices; multiuser detection; spreading gain; Decorrelation; Fading; H infinity control; Mathematics; Modulation coding; Multiaccess communication; Multiuser detection; Performance gain; Power control; Signal detection;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2003.815781

Filename

1226621