SOME VARIATIONS ON THE USE OF BUTTERWORTH POLYNOMIALS.
CASE INST OF TECH CLEVELAND OHIO
Pagination or Media Count:
After reviewing the conventional use of Butterworth polynomials, a new technique is proposed which employs the sum and difference of such polynomials. These sums and differences are used to form rational functions which approximate certain transfer characteristics. All these new approximations are shown to be realizable as the transfer function of a three-terminal RLC network. From this work emerges the interesting fact that the weighted sum of two consecutive Butterworth polynomials is Hurwitz, i.e., B sub n s alpha B sub n-1 s is Hurwitz for all alpha 0. Author
- Electrical and Electronic Equipment
- Numerical Mathematics