An analog source is to be transmitted across a Gaussian channel in more than
one channel use per source symbol. This paper derives a lower bound on the
asymptotic mean squared error for a strategy that consists of repeatedly
quantizing the source, transmitting the quantizer outputs in the first channel
uses, and sending the remaining quantization error uncoded in the last channel
use. The bound coincides with the performance achieved by a suboptimal decoder
studied by the authors in a previous paper, thereby establishing that the bound
is tight.Comment: 5 pages, submitted to IEEE International Symposium on Information
Theory (ISIT) 201