A systematic approach to signal space detection

A general procedure is developed to implement the fixed delay tree search (FDTS) detector in the multi-dimensional signal space. The procedure systematically finds a required set of hyperplanes that divide the entire space into different decision regions. A Boolean mapping function is also analytically determined which generates a final binary decision from several intermediate binary variables that indicate the position of the observation vector relative to given hyperplanes. The proposed technique is demonstrated on a (1 + D)2 partial response channel driven by the (l,k)-coded input.