DF-DD for channels with phase noise

Abstract — In this paper, we design decision–feedback differential detection (DF–DD) schemes for channels with phase noise. If the DF–DD feedback filter is properly optimized, a performance similar to that of more complex, recently reported schemes based on multiple–symbol detection [1] and expectation maximization (EM) [2] can be achieved. However, it is also shown that an error floor is unavoidable. In contrast to previously proposed receivers for channels with phase noise, the DF–DD receiver can be made robust against unknown frequency offsets by introducing a simple linear constraint.