TY - GEN
T1 - The impact of constellation cardinality on gaussian channel capacity
AU - Wu, Yihong
AU - Verdú, Sergio
PY - 2010
Y1 - 2010
N2 - Denote by Cm(snr) the Gaussian channel capacity with signal-to-noise ratio snr and input cardinality m. We show that as m grows, Cm(snr) approaches C(snr) = 1/2 log(1 + snr) exponentially fast. Lower and upper bounds on the exponent are given as functions of snr. We propose a family of input constellations based on the roots of the Hermite polynomials which achieves exponential convergence.
AB - Denote by Cm(snr) the Gaussian channel capacity with signal-to-noise ratio snr and input cardinality m. We show that as m grows, Cm(snr) approaches C(snr) = 1/2 log(1 + snr) exponentially fast. Lower and upper bounds on the exponent are given as functions of snr. We propose a family of input constellations based on the roots of the Hermite polynomials which achieves exponential convergence.
UR - http://www.scopus.com/inward/record.url?scp=79952437574&partnerID=8YFLogxK
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U2 - 10.1109/ALLERTON.2010.5706965
DO - 10.1109/ALLERTON.2010.5706965
M3 - Conference contribution
AN - SCOPUS:79952437574
SN - 9781424482146
T3 - 2010 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010
SP - 620
EP - 628
BT - 2010 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010
T2 - 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010
Y2 - 29 September 2010 through 1 October 2010
ER -