Title :
Efficient computation of mixed higher partials of digital filter transfer functions
Author :
Bass, Steven C. ; Belter, Stephen E.
Author_Institution :
Purdue University, West Lafayette, IN
fDate :
6/1/1976 12:00:00 AM
Abstract :
A concise formula is derived for the computation of mixed higher partial derivatives of digital filter transfer functions with respect to any combination of multiplier coefficients. If only one multiplier coefficient is involved in the differentiation, our formula specializes to a recent result of Crochiere [1].
Keywords :
Circuit noise; Circuit theory; Digital filters; Equations; Filtering theory; Mathematics; Notice of Violation; Roundoff errors; Signal processing; Transfer functions;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1976.1162798