# Multimedia Signal Processing Laboratory

## P. Kabal

## Paper Abstracts 1983

### Papers

P. Kabal

"The
Stability of Adaptive Minimum Mean Square Error Equalizers Using Delayed
Adjustment", *IEEE Trans. Communications*, vol. 31, no. 3, pp. 430-432,
March 1983.

The necessary and sufficient conditions for the stability
and convergence of adaptive minimum mean square error equalizers are developed.
The analysis includes the effect of delays in the adjustment path, as occur, for
instance, when the decoder in a data transmission system delays its output
decisions.

### Conference papers

P. Kabal

"Quantizers
for Symmetric Gamma Distributions", *Proc. IEEE Globecom Conf.* (San
Diego, CA), pp. 214-218, Nov. 1983.

This paper discusses minimum mean-square error quantization
for symmetric distributions. If the distribution satisfies a log-concavity
condition, the optimal quantizer is itself symmetric. For the gamma distribution
often used to model speech signals, the log-concavity condition is not
satisfied. It is shown that for this distribution both the uniformly spaced and
the non-uniformly spaced optimal quantizers are not symmetrical. New
quantization tables giving the optimal levels for quantizers for the gamma
distribution are given.

Paper titles.