TY - GEN
T1 - A Ziv-Zakai-Rényi lower bound on distortion at high resolution
AU - Leibowitz, Itai
AU - Zamir, Ram
PY - 2008
Y1 - 2008
N2 - We follow a method introduced by Ziv and Zakai for finding 'informational' lower bounds on delay constrained joint source-channel coding. Their method uses the data processing theorem for generalized measures of information. We introduce the use of Rényi's information of order α in their framework, and use high-resolution approximations to find its rate distortion function for a source that possesses a smooth distribution with rth-power distortion. This allows us to present two new lower bounds, one on the distortion in fixed rate vector quantization, and the other on the transmission through low-dimensional modulo-lattice additive noise channels.
AB - We follow a method introduced by Ziv and Zakai for finding 'informational' lower bounds on delay constrained joint source-channel coding. Their method uses the data processing theorem for generalized measures of information. We introduce the use of Rényi's information of order α in their framework, and use high-resolution approximations to find its rate distortion function for a source that possesses a smooth distribution with rth-power distortion. This allows us to present two new lower bounds, one on the distortion in fixed rate vector quantization, and the other on the transmission through low-dimensional modulo-lattice additive noise channels.
UR - http://www.scopus.com/inward/record.url?scp=51849153314&partnerID=8YFLogxK
U2 - 10.1109/ITW.2008.4578645
DO - 10.1109/ITW.2008.4578645
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AN - SCOPUS:51849153314
SN - 9781424422708
T3 - 2008 IEEE Information Theory Workshop, ITW
SP - 174
EP - 178
BT - 2008 IEEE Information Theory Workshop, ITW
Y2 - 5 May 2008 through 9 May 2008
ER -