Title :
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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.815781
