Channel estimation impact over MIMO-MAC achievable rates

We present inner and outer bounds of the rate region for the multiple-input-multiple-output mutiple access channel with imperfect channel estimates. We then employ them to compare different channel estimation techniques. We show that the benefit of using traditional compressed sensing recovery techniques, specifically orthogonal matching pursuit, for multipath wireless channels is dominant for high signal to noise ratio regimes, but does not provide a good performance for low signal to noise ratio regime.