Bounds on the expected optimal channel assignment in Rayleigh channels

摘要

The channel assignment problem is highly important to OFDMA cognitive radio systems. Tight bounds on the optimal channel assignment are crucial for the performance evaluation of various channel assignment schemes. In this paper we derive the mean of the maximal sum rate channel assignment for i.i.d Rayleigh fading channels. We provide upper and lower bounds on the expected optimal assignment. We then show that the bounds are asymptotically tight in both high SNR and as the number of users increases.