ANALYTIC KVALUATION OF Tiff FOURIfclR COEFFICIENTS OF A CLIPPED PERIODIC FUNCTION

Fur pi-riodit input u(l.). a liTu r i pi i si nt all on L (t) foi t lit clipptr is obtaint-d such tliat llu output \(t) = *(t) u(l). Th» Fourier LOef f ic ii-nt s oi y(t) are obtaimd in Ltrms ol tin Foui i t r coefficients of both e (t ) and u(t). Fei light > lipping, tin Fournr coef f ici ents of y (t ) equa 1 the Feurii i ei t I f ii i eiil s ol u(t ) plus j .s ma 1 1 correct ion fac tor of the or del t i tin pi i i "nt of t i m* t he signal exceeds clipping limits. An exact expression for the correction factor is obtained which may roqulit numerical solutions. Some algorithms for obtaining numerical solutions are discussed. Anv views expressed in this papt'i are those of the author. They should not he interpreted as reflect ing the views of The RAM Corporation or the official opinion or policy of anv of its govetntnental or private research sponsors. Papers are repioi.iKei bv Th« RANL) Corporation as a courtesy to member.', of its staff.