Premium
The generation of arbitrary‐phase polynomials by recurrence formulae
Author(s) -
Henk Tamás
Publication year - 1981
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490090407
Subject(s) - mathematics , phase (matter) , explicit formulae , function (biology) , recurrence relation , set (abstract data type) , derivative (finance) , mathematical analysis , computer science , physics , quantum mechanics , evolutionary biology , biology , programming language , financial economics , economics
A filter‐design oriented theory is presented for polynomials with prescribed phase properties. The phase function is specified by its values and/or higher derivative values at a set of given frequencies. The polynomials are generated by recurrence formulae whose coefficients are calculated by a recursive algorithm. Formulae are presented to calculate the higher derivatives of some composite functions of the phase which are utilized in the process of flat phase approximations.