Quantized frame expansions in a wireless environment

We study frames for robust transmission over a multiple-antenna wireless system - BLAST. By considering as erased a component received with an SNR inferior to a given threshold, we place frames in a setting where some of the elements are deleted. Goyal, Kovacevic and Kelner (see Journal of Appl. and Comput. Harmonic Analysis, vol.10, no.3, p.203-233, 2001) focused on the performance of quantized frame expansions up to M-N erased components, the structure of a frame being thus preserved. In this paper we consider every possible scenario of erasures for low-dimensional frames and we present optimal designs for corresponding systems using a small number of antennas.