Minimal PAM decompositions of CPM signals with separable phase

This letter proposes a new pulse amplitude modulation decomposition of continuous phase modulation (CPM) signals under the constraint of phase response separability. The separability condition is met by a broad class of CPM signals, including full-response signals. We show that the proposed decompos...

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Bibliographic Details
Published in:IEEE transactions on communications 2005-12, Vol.53 (12), p.2011-2014
Main Authors: Cariolaro, G., Cipriano, A.M.
Format: Article
Language:English
Subjects:
Alphabets
Amplitude modulation
Applied sciences
Bandwidth
Continuous phase modulation
Continuous phase modulation (CPM)
Decomposition
Exact sciences and technology
Frequency shift keying
Information, signal and communications theory
Phase modulation
Pulse amplitude modulation
pulse amplitude modulation (PAM)
pulse amplitude modulation (PAM) decomposition
Pulse generation
Pulse modulation
Signal and communications theory
Signal design
Signal generators
Signal representation. Spectral analysis
Signal representations
Signal, noise
Telecommunications and information theory
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Description
Summary:This letter proposes a new pulse amplitude modulation decomposition of continuous phase modulation (CPM) signals under the constraint of phase response separability. The separability condition is met by a broad class of CPM signals, including full-response signals. We show that the proposed decomposition has minimal cardinality of N/sub c/=L(M-1), where M is the alphabet size and L is the CPM memory length. The cardinality increases linearly with L, while previous proposed decompositions have cardinalities M/sup L/-M/sup L-1/, which grow exponentially with L.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2005.860076