Title :
New Results on the Spectral Analysis of Multi-h CPM Signals
Author :
Cariolaro, Gianfranco ; Erseghe, Tomaso ; Laurenti, Nicola ; Pierobon, Gianfranco
Author_Institution :
Dipt. di Ing. dell´´Inf., Univ. di Padova, Padova, Italy
fDate :
7/1/2011 12:00:00 AM
Abstract :
This paper deals with the spectral analysis of multi-h continuous phase modulation (CPM) signals. A new solution to the problem is obtained by identifying an inner hidden Markov model in the CPM signal, which can be accomplished by expressing the modulator as the cascade of a sequential machine (SM), and a bank of PAM modulators. An in-depth study of the resulting Markov chain shows that it is both cyclostationary and reducible, and proper tools are identified to address these peculiarities. As a result, the multi-h CPM spectrum is expressed as a combination of Fourier transforms of portions of a CPM signal, thus allowing an efficient numerical evaluation through fast Fourier transforms (FFTs).
Keywords :
continuous phase modulation; fast Fourier transforms; hidden Markov models; sequential machines; spectral analysis; PAM modulators; continuous phase modulation; fast Fourier transforms; hidden Markov model; modulator; multiH CPM signals; sequential machine; spectral analysis; Indexes; Markov processes; Phase modulation; Sparse matrices; Spectral analysis; Trajectory; Continuous phase modulation; hidden Markov models; spectral analysis;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2011.050911.100631