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Delay Optimization of Conventional Non-Coherent Differential CPM Detection

Information Theory 2022-04-13 v1 math.IT

Abstract

The conventional non-coherent differential detection of continuous phase modulation (CPM) is quite robust to channel impairments such as phase and Doppler shifts. Its implementation is on top of that simple. It consists in multiplying the received baseband signal by its conjugate and delayed version of one symbol period. However it suffers from a signal-to-noise ratio gap compared to the optimum coherent detection. In this paper, we improve the error rate performance of the conventional differential detection by using a delay higher than one symbol period. We derive the trellis description as well as the branch and cumulative metric that take into account a delay of KK symbol periods. We then derive an optimization criterion of KK based on the minimum Euclidean distance between two differential signals. We finally determine optimized delays for some popular CPM formats whose values are confirmed by error rate simulations.

Keywords

Cite

@article{arxiv.2204.05826,
  title  = {Delay Optimization of Conventional Non-Coherent Differential CPM Detection},
  author = {Anouar Jerbi and Karine Amis and Frédéric Guilloud and Tarik Benaddi},
  journal= {arXiv preprint arXiv:2204.05826},
  year   = {2022}
}

Comments

Submitted to IEEE Communication Letters

R2 v1 2026-06-24T10:45:54.577Z