Non-coherent autocovariance receiver for DPSK-k modulation invariant to channel distortions

Differential phase shift keying (DPSK) is a promising approach for reducing the overhead and computational complexity involved in upcoming multiple input-multiple output links. This technique has some intrinsic benefits, that provide invariance to certain channel distortions depending of the order of modulation used, for example, initial phase introduced by the channel, Doppler Shifts and Carrier Frequency Offset (CFO). This work, will provide a generalization of a DPSK noncoherent autocovariance receiver for any size of $N\times N$ MIMO array and any order of difference modulation.