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Decomposition of M-ary CPM signals into PAM waveforms

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2 Author(s)
U. Mengali ; Dipartimento di Ingegneria della Inf., Pisa Univ., Italy ; M. Morelli

It is widely known that minimum shift keying (MSK) may be seen as a PAM signaling scheme and that the same is true, albeit approximately, with MSK-like modulations. It is also known (perhaps not so widely) that any binary continuous phase-modulated (CPM) signal may be exactly decomposed into the sum of a few PAM waveforms. In this paper we show that this property extends to multilevel CPM signaling. Features of a PAM decomposition are discussed as a function of the alphabet size, the modulation index, and the frequency response of the system. It is found that, especially with signaling schemes with a long memory, the decomposition has so many terms that it becomes unmanageable. For these cases an approximation is proposed with a limited number of terms

Published in:

IEEE Transactions on Information Theory  (Volume:41 ,  Issue: 5 )