Minimal State Non-Coherent Symbol MAP Detection of Continuous-Phase Modulations

Abstract

Trellis-based detector is an effective method to demodulate non-coherent continuous-phase modulated sequences. Most of them have been derived for the maximum likelihood sequence estimation setting, while only few contributions have been proposed for the maximum a posteriori (MAP) symbol detection, required when soft information is needed for iterative detection and decoding. In this letter, we derive a new symbol MAP non-coherent receiver with reduced state space representation compared with the existing extended state-spacebased approaches. While having the same performance, it enables a lower complexity.

Non-coherent CPM Detection under Gaussian Channel affected with Doppler Shift

“…The main advantage of differential algorithms is their robustness to Doppler shifts, but the signal-to-noise ratio (SNR) loss can be important depending on the algorithm. The second non-coherent detection class is derived from the generalized maximum-likelihood criterion [9], [10] and only requires the knowledge of the phase distribution. Algorithms proposed either in [11] or in [12] with an uniformly-distributed phase assumption belong to it.…”