Complementary pole-pair filters-A new family of transitional filters

A new type of transitional filter based on summation of polynomials

“…Rational transitional types are also possible [15]. Complementary pole-pair filters allow for arbitrary pole distribution on a circle akin to the Butterworth poles but with pre-defined angles [16]. The TICFU (transitional inverse Chebyshev Feistel-Unbehauen) filter exploits zeros of transmission for greater selectivity while maintaining good delay response [17].…”

Pole-parameter transformation and its application in the generation of new families of complementary pole-pair filters

“…l(a) and (b) for the case n = 16. The pole-parameter w is referred to as the 'pole-frequency' in the literature 121; the pole-Q will be P P Qp = 2 c0:(2€l 1 (1) P It is noted that e +e =e +e =e +e =e +e = n/2 ( 2 ) The CPPFs are classified as low-Q filters (LQF) and high-Q filters (HQF) 1 8 2 7 3 6 4 5 and these are generated by the judicious swinging of the pole-pattern and the design of such filters has been discussed elsewhere [31.…”