By Topic

Optimum zero memory filters

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)

The equations for the optimum zero memory filter are derived using the mean absolute error criterion. It is shown that the characteristic of this filter is antisymmetric about a certain point when the signal and noise densities have symmetry properties. The coordinates of this point are found. The "direct connection" filter (no filter at all) is found to be nonoptimal in all cases of interest: consequently the need for filtering is established. The optimum zero memory filter is shown to be a quantizer for quantized signals and a method of obtaining the characteristic of this filter is developed when the signal has a finite number of levels. The only case considered in this paper is the common one for which the signal and noise are statistically independent.

Published in:

Information Theory, IRE Transactions on  (Volume:8 ,  Issue: 6 )