By Topic

Analysis of adaptive differential PCM of a stationary Gauss - Markov input

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)

An adaptive matched differential pulse-code modulator (AMDPCM) is analyzed. The adaptation of the symmetric uniform quantizer parameter \Delta _{n} is performed by fixed multipliers assigned to the quantizer output levels. The input is stationary first-order Gauss-Markov. The correlation of the samples is used as the leakage parameter in the matched integrator, with the predictive reconstruction similarly matched. For a 4 -level quantizer and multipliers (\gamma ^{-1}, \gamma ) the limiting joint distribution of the prediction error and \Delta _{n} is derived and the asymptotic sample-point and time-averaged mean-square error (rose) and mean and variance of \Delta _{n} as functions of \gamma \in (1,2] are computed and plotted. It is found that the asymptotic performance of AMDPCM does not depend on the choice of \Delta _{0} , that the increase in mse incurred by using A(M)DPCM instead of (M)DPCM with \Delta _{opt} is small, with mse(A(M)DPCM) \downarrow \min_{\Delta } mse ((M)DPCM) as \gamma \downarrow 1 , and that the signal-to-noise ratio of AMDPCM does not depend on the input power.

Published in:

Information Theory, IEEE Transactions on  (Volume:33 ,  Issue: 3 )