Constellation Subset Selection: Theories and Algorithms

Constellation subset selection (CSS) is a new topic emerging in the adaptive modulation communications. How to choose the subset of the original constellation phasers appears to be challenging and interesting to the researchers. There hardly exists any literature which studies the feasibility and th...

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Published in:IEEE transactions on wireless communications Vol. 9; no. 7; pp. 2248 - 2257
Main Authors: Wu, Hsiao-Chun, Chang, Shih Yu
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.07.2010
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:1536-1276, 1558-2248
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Abstract Constellation subset selection (CSS) is a new topic emerging in the adaptive modulation communications. How to choose the subset of the original constellation phasers appears to be challenging and interesting to the researchers. There hardly exists any literature which studies the feasibility and the solution of constellation subset selection in details. Here we dedicate to this problem in both theoretical exploration and algorithm design. In this paper, we introduce the detailed theoretical analysis regarding the mathematical properties of the commonly-used constellations and then facilitate the constellation subset selection problem. The CSS problem can be formulated as the maximization of the minimum inter-phaser distance within a constellation subset subject to the symmetry and rate constraints. Based on our problem formulation, we design two algorithms to solve this problem thereby. Our complexity analysis evinces the effectiveness of the proposed algorithms.
AbstractList Constellation subset selection (CSS) is a new topic emerging in the adaptive modulation communications. How to choose the subset of the original constellation phasers appears to be challenging and interesting to the researchers. There hardly exists any literature which studies the feasibility and the solution of constellation subset selection in details. Here we dedicate to this problem in both theoretical exploration and algorithm design. In this paper, we introduce the detailed theoretical analysis regarding the mathematical properties of the commonly-used constellations and then facilitate the constellation subset selection problem. The CSS problem can be formulated as the maximization of the minimum inter-phaser distance within a constellation subset subject to the symmetry and rate constraints. Based on our problem formulation, we design two algorithms to solve this problem thereby. Our complexity analysis evinces the effectiveness of the proposed algorithms.
Author Shih Yu Chang
Hsiao-Chun Wu
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Cites_doi 10.1109/LCOMM.2008.071663
10.1109/ISIT.2002.1023762
10.1109/GLOCOM.2009.5425385
10.1109/49.768194
10.1109/26.634685
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10.1002/9780470861813
10.1109/ISIT.1997.612942
10.1109/LCOMM.2007.070667
10.1109/TCOM.1960.1097638
10.1109/TIT.1982.1056454
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Keywords Performance evaluation
Selection problem
Constellation selection
symmetric constellation properties
Minimal distance
Feasibility
Algorithm
Adaptive modulation
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References ref15
ref14
wei (ref6) 1987; 33
ref10
webb (ref16) 1994
(ref13) 0
hyde (ref19) 2003
ref2
ref1
(ref17) 0
ref18
ref8
ref7
ref9
ref4
ref3
ref5
vereshchagin (ref11) 2002
proakis (ref12) 2001
References_xml – ident: ref14
  doi: 10.1109/LCOMM.2008.071663
– ident: ref4
  doi: 10.1109/ISIT.2002.1023762
– ident: ref10
  doi: 10.1109/GLOCOM.2009.5425385
– year: 1994
  ident: ref16
  publication-title: Modern Quadrature Amplitude Modulation Principles and Applications for Fixed and Wireless Communications
– year: 2001
  ident: ref12
  publication-title: Digital Communications
– ident: ref3
  doi: 10.1109/49.768194
– ident: ref7
  doi: 10.1109/26.634685
– ident: ref18
  doi: 10.1109/49.29611
– volume: 33
  start-page: 483
  year: 1987
  ident: ref6
  article-title: Trellis coded modulation with multidimensional constellations
  publication-title: IEEE Trans Inf Theory
  doi: 10.1109/TIT.1987.1057329
– year: 2002
  ident: ref11
  publication-title: Basic Set Theory
– ident: ref1
  doi: 10.1109/TCOM.1960.1097623
– ident: ref9
  doi: 10.1002/9780470861813
– ident: ref8
  doi: 10.1109/ISIT.1997.612942
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  ident: ref13
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  doi: 10.1109/LCOMM.2007.070667
– ident: ref2
  doi: 10.1109/TCOM.1960.1097638
– year: 2003
  ident: ref19
  publication-title: The Art of Assembly Language
– ident: ref5
  doi: 10.1109/TIT.1982.1056454
– year: 0
  ident: ref17
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SubjectTerms adaptive modulation
Algorithm design and analysis
Algorithms
Amplitude modulation
Applied sciences
Cascading style sheets
Constellation diagram
Constellation selection
Constellations
Design engineering
Exact sciences and technology
Exploration
Information, signal and communications theory
Mathematical analysis
Maximization
Modulation
Modulation coding
Modulation, demodulation
Multidimensional systems
Phase modulation
Phase shift keying
Signal and communications theory
Signal design
symmetric constellation properties
Telecommunications and information theory
Wireless communication
Title Constellation Subset Selection: Theories and Algorithms
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