TY - GEN
T1 - A representation for the symbol error rate of arbitrary constellations under AWGN
AU - Rajan, Adithya
AU - Tepedelenlioglu, Cihan
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - The symbol error rate of the maximum likelihood detector for an arbitrary multi-dimensional constellation impaired by additive white Gaussian noise is characterized as the product of a completely monotone function with a non-negative power of the signal to noise ratio. Using this general result, it is proved that the symbol error rate is completely monotone if the rank of its constellation matrix is either one or two. Further, it is shown that, if the rank of the constellation matrix is greater than or equal to four, then the symbol error rate cannot be a completely monotone function of the SNR. Applications to stochastic ordering of wireless system performance is also discussed.
AB - The symbol error rate of the maximum likelihood detector for an arbitrary multi-dimensional constellation impaired by additive white Gaussian noise is characterized as the product of a completely monotone function with a non-negative power of the signal to noise ratio. Using this general result, it is proved that the symbol error rate is completely monotone if the rank of its constellation matrix is either one or two. Further, it is shown that, if the rank of the constellation matrix is greater than or equal to four, then the symbol error rate cannot be a completely monotone function of the SNR. Applications to stochastic ordering of wireless system performance is also discussed.
KW - Communication Systems
KW - Modulation and Detection
KW - Symbol error rate
KW - canonical representation
KW - complete monotonicity
KW - convex
KW - stochastic ordering
UR - http://www.scopus.com/inward/record.url?scp=84876266816&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84876266816&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.2012.6488978
DO - 10.1109/ACSSC.2012.6488978
M3 - Conference contribution
AN - SCOPUS:84876266816
SN - 9781467350518
T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers
SP - 148
EP - 152
BT - Conference Record of the 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
T2 - 46th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2012
Y2 - 4 November 2012 through 7 November 2012
ER -