This paper investigated the pulse amplitude modulation (PAM) decomposition of a class of continuous phase modulation (CPM) signal, which has the property to be a single-side band. We used the PAM decomposition as a convenient solution to provide a large reduced complexity trellis detection to approach the theoretical optimal performance. Moreover, we developed an algorithm to obtain the necessary PAM pulses to approach the optimal performance bound using suboptimal receivers. The algorithm is generic; it can provide the results for any parameter combinations. The proposed demodulation system exhibits excellent performance with minimal complexity with respect to the maximum likelihood sequence detection (MLSD) optimal receiver.
INDEX TERMSContinuous phase modulation (CPM), pulse amplitude modulation (PAM), Laurent decomposition, reduced-complexity receiver, union bound, single side-band (SSB). KARIM KASSAN was born in Kalamoun, Lebanon, in 1995. He received the B.S. degree in communications and electronics engineering from Beirut Arabic University (BAU), in 2017, and the M.Sc. degree in telecommunications engineering from INSA Rennes, in 2018. He is currently pursuing the Ph.D. degree in signal processing and communication systems with CentraleSupélec, France. His research interests include digital communication theory, wireless communications, synchronization, channel coding, spectrally efficient systems, and complexity reduction receivers. HAÏFA FARÈS received the bachelor's and M.Sc. degrees in telecommunication engineering from the Higher School of Communications of Tunis (Sup'Com), in 2007 and 2008, respectively, and the Ph.D. degree in digital communications from IMT-Atlantique, France, in 2011. She is currently an Associate Professor at CentraleSupélec of Rennes. She is a member of the Rennes Laboratory (CNRS), Signal Communication Embedded Electronics Research Group, Institute of Electronics and Telecommunications. Her research interests include the area of communication theory, including nonlinear modulations, green communications, iterative decoding algorithms, and non-orthogonal multiple access. She was awarded the best student engineering project, in 2007.