On the optimality of bit detection of certain digital modulations

In this paper, we study the optimality of bit detection for coherent M-ary phase-shift keying (PSK) and M-ary quadrature amplitude modulation (QAM), and noncoherent M-ary frequency-shift keying (FSK) signal sets. For M-PSK and M-QAM signal constellations, we employ Gray mapping, consider 8-PSK and 1...

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Bibliographic Details
Published in:IEEE transactions on communications 2005-02, Vol.53 (2), p.299-307
Main Authors: Simon, M.K., Annavajjala, R.
Format: Article
Language:English
Subjects:
Additive white noise
Applied sciences
Bit metric
Coding, codes
Coherence
Constellation diagram
Constellations
Digital
Digital modulation
error-probability analysis
Exact sciences and technology
Frequency shift keying
Gray coding
Information, signal and communications theory
Keying
log-likelihood ratio (LLR)
Modulation
Modulation, demodulation
Optimization
Phase detection
Phase frequency detector
Phase shift keying
Quadrature amplitude modulation
Reflective binary codes
Signal and communications theory
Signal mapping
Symbols
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
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Summary:In this paper, we study the optimality of bit detection for coherent M-ary phase-shift keying (PSK) and M-ary quadrature amplitude modulation (QAM), and noncoherent M-ary frequency-shift keying (FSK) signal sets. For M-PSK and M-QAM signal constellations, we employ Gray mapping, consider 8-PSK and 16-QAM signal sets as representative of the general results, and derive the log-likelihood ratio (LLR) for each bit forming the symbol. Using the LLRs, we derive the average bit-error probability (BEP) for the individual bits, and show that the decision regions and the corresponding average BEP for the case of M-PSK coincide with those obtained with the optimal symbol-based detector, whereas, in general, this is not the case for both M-QAM and M-FSK.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2004.841959