DocumentCode :
3632794
Title :
Optimum PAM-TCM schemes using left-circulate function over GF(2N)
Author :
Calin Vladeanu;Safwan El Assad;Jean-Claude Carlach;Raymond Quere;Ion Marghescu
Author_Institution :
Telecommunications Department, University Politehnica of Bucharest, Romania
fYear :
2009
fDate :
7/1/2009 12:00:00 AM
Firstpage :
1
Lastpage :
4
Abstract :
In this paper, optimum recursive systematic convolutional (RSC) encoders over Galois field GF(2N) are designed using a nonlinear function, i.e., left-circulate function (LCIRC). The LCIRC function performs a bit left circulation over the representation word; it is used in microprocessors as an accumulator operation, and in chaotic sequence generators working in finite precision. Different encoding rates are obtained for these encoders when using different representation wordlengths at the input and the output, denoted as Nin and N, respectively. A generalized 1-delay GF(2N) RSC encoder scheme using LCIRC is proposed for performance analysis and optimization, for any possible encoding rate, Nin/N. The minimum Euclidian distance is estimated for these optimum encoders and a general expression is found as a function of the wordlengths Nin and N. The symbol error rate (SER) is estimated by simulation for a quaternary pulse amplitude modulation - trellis-coded modulation (PAM-TCM) transmission over an additive white Gaussian noise (AWGN) channel. The simulation results confirm the expected coding gains determined theoretically.
Keywords :
"AWGN","Amplitude estimation","Pulse modulation","Amplitude modulation","Convolutional codes","Galois fields","Microprocessors","Chaos","Performance analysis","Genetic expression"
Publisher :
ieee
Conference_Titel :
Signals, Circuits and Systems, 2009. ISSCS 2009. International Symposium on
Print_ISBN :
978-1-4244-3785-6
Type :
conf
DOI :
10.1109/ISSCS.2009.5206092
Filename :
5206092
Link To Document :
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