Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
A fast evaluation procedure for the integral Im,n,p=1/2πj∯|z|=1Hm,n(z)H m,n(z-1)zp-1dz for arbitrary nonnegative integer-valued m, n, and p, is presented, where Hm,n (z)=Σk=0mbm,kz-k /Σl=0nan,lz-1,a n,0≠0 is the transfer function of an arbitrary digital filter. Evaluation of this integral frequently appears in control, communication, and digital filtering. A notable result is the one-term recursion on p, for arbitrary but fixed nonnegative integers m and n. The computational complexity is analyzed, and two illustrative examples demonstrate some of the advantages of this approach
Keywords :
computational complexity; digital filters; filtering theory; integral equations; transfer functions; communication; computational complexity; control; digital filter; digital filtering applications; fast evaluation procedure; integral; one-term recursion; transfer function; Convergence; Digital control; Digital filters; Filtering; Integral equations; Iterative algorithms; Quantization; Roundoff errors; Signal processing algorithms; Transfer functions;
