Decision feedback differential detection using weighted phase references

A conventional decision feedback differential detection technique can be regarded as a technique using L previously received signal samples and L-1 previously decided data phases to generate a phase reference for the phase detection operation of a currently received MPSK signal sample. With this observation, we propose a differential detection technique which uses a new way to generate the phase reference. In the proposed technique, the phase reference called weighted phase reference is the weighted sum of primitive phase references derived from previously received signal samples. The weighted phase reference can be generated using a simple recursive form. The proposed detection technique can be easily implemented and has satisfactory error performance.