Universal decoding for linear Gaussian fading channels in the competitive minimax sense
Nir Weinberger, Meir Feder · 2008
We address the problem of communicating over an unknown linear fading channel with additive white Gaussian noise, in the high SNR regime. A block fading model is adopted where the channel fading vector is unknown, yet assumed constant during the block. For a given codebook, a competitive minimax criterion is used to find a decoder ignorant of the specific channel fading prevailing, yet its performance, relative to the Maximum Likelihood decoder, has the best worst case. For a codebook with two codewords, the decoder is found explicitly, and a numerical method is described to find its performance.