Accession Number : AD0285497

Title :   A METHOD OF SYNTHESIZING HIGHER ORDER FUNCTIONS

Descriptive Note : Interim rept.

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : PERRY,BARBOUR LEE ; BIRMINGHAM,H.P.

Report Date : 12 SEP 1962

Pagination or Media Count : 11

Abstract : This paper describes a general direct method of synthesizing nth order transfer functions by means of block diagrams and subsequent analog computer simulation. In this generalization of techniques long found useful, the transfer function is written in the form of a polynomial numerator with a polynomial denominator. This method outlined permits the synthesis of a large family of higher order systems. For the case where the order m of the numerator is less than or the same as the order n of the denominator, the synthesis requires only n unity integrators and two summing junctions. If the order m of the numerator is greater than the order n of the denominator, the synthesis requires m-n differentiators as well as the n unity integrators and two summing junctions. Once the tent which will exhibit desired characteristics. (Author)

Descriptors :   *FUNCTIONS(MATHEMATICS), ANALOG COMPUTERS, FEEDBACK, POLYNOMIALS, SIMULATION, TEST METHODS

Distribution Statement : APPROVED FOR PUBLIC RELEASE