Asymptotic Performance of Reduced-Rank Linear Receivers With Principal Component Filter

This correspondence studies the asymptotic performance of output signal-to-interference-plus-noise ratio (SINR) for reduced-rank linear receivers with principal component filter. We prove that for code division multiple access (CDMA) systems with random spreading codes, when the number of users and the spreading gain go to infinity with their ratio being fixed, the output SINR converges to a fixed constant with probability 1, which is consistent with the conjecture made in Honig and Xiao, "Performance of reduced-rank linear suppression," IEEE Trans. Inf. Theory, vol. 47, no. 4, pp. 1928-1946, May 2001