OPTIMAL LINEAR FILTERING IN THE WALSH DOMAIN

Abstract

Just 4 decade back The ndertul World of Walsh $cis. ions" [19 1 was dawned when Ohnsorg .0 . i presented a paper in Spectrwn Analysiø Symposium 1966 under the title U BIFORE or Rademard Transforms, even though Walsh F+ nctions came into eds. tones as early as 1923 when J.L. Walsh r39 ] introduced them into mathematics under the caption" A closed. net ©f orthogonal functions" 3I RE is the shcrtnaaae for mnary.)3u er REpresentati©n. Walsh net1An was in oblivion for over four decades and today it has abundant application in the technological field. The five regular annual symposiums on Applications ct" Walsh Fine-tion.e conducted in the U..1. A by Naval Research Lab, I, $,E.E and all is a clear proof'. of its importanc a. Raxmutb, Pichler and Gibbs the great exponents of 'Walsh h ctions' have provided a - sound and solid foundation for the clear understanding of Walsh Vic+. than and its varied applfr ations, „$equency filters'# a apecial class of filters have been developed based on Walsh ctions. This is mainly due to Hauuuth [1)+ ! 15 j. Pichler has developed Suffi- eient mathematics and has provided enough - hints 'b arrive 'at optimum filters based on Walsh functions i , 33