A system-theory approach to decompose CPM signals into PAM waveforms

In 1986, Laurent showed that binary continuous phase modulated (CPM) signals can be decomposed into pulse amplitude modulated (PAM) waveforms. This result, later extended to multilevel CPM signals by Mengali and Morelli, has attracted much attention, especially for the design of simplified receivers...

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Bibliographic Details
Published in:IEEE transactions on communications 2010-01, Vol.58 (1), p.200-210
Main Author: Cariolaro, G.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Amplitude modulation
Applied sciences
Computer science
control theory
systems
Continuous phase modulation
Continuous phase modulation (CPM)
Control theory. Systems
Decomposition
efficient decomposition
Exact sciences and technology
Information, signal and communications theory
Life members
Modulation, demodulation
MSK like modulations
PAM decomposition
Phase modulation
Power amplifiers
Pulse amplifiers
pulse amplitude modulation (PAM)
Pulse modulation
Radio transmitters
Signal and communications theory
Signal design
System theory
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Waveforms
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Summary:In 1986, Laurent showed that binary continuous phase modulated (CPM) signals can be decomposed into pulse amplitude modulated (PAM) waveforms. This result, later extended to multilevel CPM signals by Mengali and Morelli, has attracted much attention, especially for the design of simplified receivers. The paper proceeds from the premise that the decomposition into PAM waveforms is not unique, and follows a systemtheory approach that leads to a natural formulation. First, the CPM modulator is represented by a nonlinear part (encoder) followed by a linear part (bank of PAM modulators).The two parts are then rearranged with the aim of obtaining real-valued continuous PAM waveforms and to reduce their number. Several classes of decompositions arise with this approach, each of which admits an infinite number of different decompositions of the same CPM signal, among which the Laurent and MengaliMorelli results appear as special cases. Throughout the paper, a systematic use is made of the Kronecker product, which appears to be the natural tool for dealing with CPM decompositions and for expressing results in a very simple form.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2010.01.0701532