A Ziv-Zakai-Rényi lower bound on distortion at high resolution | IEEE Conference Publication | IEEE Xplore

A Ziv-Zakai-Rényi lower bound on distortion at high resolution


Abstract:

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 proce...Show More

Abstract:

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.
Date of Conference: 05-09 May 2008
Date Added to IEEE Xplore: 25 July 2008
ISBN Information:
Conference Location: Porto, Portugal

References

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