An overview of the GDFE algorithm

The generalized decision feedback equalizer (GDFE) algorithm from [2] is an adaptive algorithm for decoding fast time-varying MIMO systems, based on the V-BLAST architecture. For each time instant, the symbols are successively detected and canceled from the received data vector via decision feedback filtering. The filter tap weights and symbol detection order are updated using an RLS-based time- and order-update algorithm. Its complexity is $O(N_t^3)$ but it provides some savings compared to V-BLAST. During its training period, it needs to send a number of pilot symbols to initialize the algorithm.