TY - GEN
T1 - Signal shaping scheme based on the BWT for the transmission of non-binary sources with memory over the AWGN channel
AU - Crespo, Pedro M.
AU - Insausti, Xabier
AU - Del Ser, Javier
AU - Gutiérrez-Gutiérrez, Jesús
PY - 2010
Y1 - 2010
N2 - This paper proposes a low-complexity signal shaping scheme for the transmission of non-binary symbols generated by sources with memory over the AWGN channel. It is based on using the Burrows-Wheeler Transform (BWT) [1] and standard two dimensional (QAM) constellations. The constellation points are driven based on the first order probabilities of the BWT output symbols so that shaping gain is maximized. The proposed system is an extension of the one introduced in [2] for binary sources. To evaluate its performance, the corresponding average energy per transmitted symbol is compared with that obtained when using an ideal source encoder followed by a standard uncoded QAM transmission scheme. In addition, it is shown that the power gain ratio between both systems can be assessed based on the Kullback-Leibler divergence between the first order probability distributions of the BWT output symbols and the Maxwell-Boltzmann probability distribution, obtained under the constraint of achieving an entropy equal to the entropy-rate of the original source.
AB - This paper proposes a low-complexity signal shaping scheme for the transmission of non-binary symbols generated by sources with memory over the AWGN channel. It is based on using the Burrows-Wheeler Transform (BWT) [1] and standard two dimensional (QAM) constellations. The constellation points are driven based on the first order probabilities of the BWT output symbols so that shaping gain is maximized. The proposed system is an extension of the one introduced in [2] for binary sources. To evaluate its performance, the corresponding average energy per transmitted symbol is compared with that obtained when using an ideal source encoder followed by a standard uncoded QAM transmission scheme. In addition, it is shown that the power gain ratio between both systems can be assessed based on the Kullback-Leibler divergence between the first order probability distributions of the BWT output symbols and the Maxwell-Boltzmann probability distribution, obtained under the constraint of achieving an entropy equal to the entropy-rate of the original source.
KW - Burrows-Wheeler transform
KW - Constellation design
KW - Kullback-Leibler divergence
KW - Shaping gain
UR - http://www.scopus.com/inward/record.url?scp=79851481158&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:79851481158
SN - 9780984589333
T3 - 2010 5th International ICST Conference on Communications and Networking in China, ChinaCom 2010
BT - 2010 5th International ICST Conference on Communications and Networking in China, ChinaCom 2010
T2 - 5th International ICST Conference on Communications and Networking in China, ChinaCom 2010
Y2 - 25 August 2010 through 27 August 2010
ER -