Accession Number : AD0277511

Title :   THE DERIVATION OF NETWORK FUNCTIONS FROM PHASE FUNCTIONS

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y MICROWAVE RESEARCH INST

Personal Author(s) : DEUTSCH,SID

Report Date : 06 MAR 1962

Pagination or Media Count : 1

Abstract : Equations are developed for deriving a network func ion F(s given its phase function T(w . Several numerical example are given. In each case, the recurrence of the given T(w) function in F( JW) is a means of checking the accuracy of the derived F( S) function. The real part of log F(jw) yields the log magnitude response, log M(w). The examples indicate that the mathematical operations of finding F(s) are relatively simple. The equations are also employed to evaluate certain definite logarithmic integrals. (Author)

Descriptors :   INTEGRAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE