TY  - JOUR
AB  - This paper studies the tight rate-distortion bound for L-channel symmetric multiple-description coding of a scalar Gaussian source with two levels of receivers. Each of the first-level receivers obtains ? of the L descriptions (?< L). The second-level receiver obtains all L descriptions. We find that if the central distortion (corresponding to the second-level receiver) is much smaller than the side distortion (corresponding to the first-level receivers), the product of a function of the side distortions and the central distortion is asymptotically independent of the redundancy between the descriptions. Using this property, we analyze the asymptotic behavior of a practical multiple-description lattice vector quantizer (MDLVQ). Our analysis includes the treatment of the MDLVQ system from a new geometric viewpoint, which results in an expression for the side distortions using the normalized second moment of a sphere of higher dimensionality than the quantization space. The expression of the distortion product derived from the lower bound is then applied as a criterion to assess the performance loss of the considered MDLVQ system. In principle, the efficiency of other practical MD systems can also be evaluated using the derived distortion product. © 2011 IEEE.
AU  - Zhang, G
AU  - Østergaard, J
AU  - Klejsa, J
AU  - Kleijn, WB
DA  - 2011/07/01
DO  - 10.1109/TCOMM.2011.051711.100254
EP  - 1856
JO  - IEEE Transactions on Communications
PY  - 2011/07/01
SP  - 1846
TI  - High-rate analysis of symmetric L-channel multiple description coding
VL  - 59
Y1  - 2011/07/01
Y2  - 2026/05/21
ER  -