A class of multi-modulus blind deconvolution algorithms using hyperbolic and Givens rotations for MIMO systems

This paper targets the blind deconvolution problem for multiple-input multiple-output communication systems, using small and moderate constellation's size signals, i.e. PSK and QAM. We introduce four different blind deconvolution algorithms based on four different techniques. These algorithms come as a natural extension of the successful work done by Shah et al in 2018 for blind source separation (BSS). The first two methods are considered as two-step based methods, where the first one performs the BSS for the spatio-temporal system followed by a pairing and sorting phase. While the second is accomplished by performing a cascaded linear equalization, using one of the existing subspace-methods, followed by the BSS routine. The third method is based on the minimization of a hybrid cost function, and the last one is a deflation-based method. These solutions summarize the main possible paths that can be followed to extend any of the existing instantaneous de-mixing algorithms. Experimental results are provided to compare and highlight the unique characteristics of each of the four different methods.