Exact Spectral Analysis of Single-h and Multi-h CPM Signals through PAM decomposition and Matrix Series Evaluation
<|reference_start|>Exact Spectral Analysis of Single-h and Multi-h CPM Signals through PAM decomposition and Matrix Series Evaluation: In this paper we address the problem of closed-form spectral evaluation of CPM. We show that the multi-h CPM signal can be conveniently generated by a PTI SM. The output is governed by a Markov chain with the unusual peculiarity of being cyclostationary and reducible; this holds also in the single-h context. Judicious reinterpretation of the result leads to a formalization through a stationary and irreducible Markov chain, whose spectral evaluation is known in closed-form from the literature. Two are the major outcomes of this paper. First, unlike the literature, we obtain a PSD in true closed-form. Second, we give novel insights into the CPM format.<|reference_end|>
@article{cariolaro2006exact,
    title={Exact Spectral Analysis of Single-h and Multi-h CPM Signals through PAM
  decomposition and Matrix Series Evaluation},
    author={G. Cariolaro, T. Erseghe, N. Laurenti},
    journal={IEEE Transactions on Communications 59 (7), 1893-1903},
    year={2006},
    doi={10.1109/TCOMM.2011.050911.100631},
    archivePrefix={arXiv},
    eprint={cs/0609050},
    primaryClass={cs.IT math.IT}
}