Title :
Roundoff-error reduction for evaluation of a function by polynomial approximation with error feedback in fixed-point arithmetic
Author :
Mikami, Naoki ; Kobayashi, Masaki ; Yokoyama, Yukiko
Author_Institution :
Dept. of Inf. & Comput. Sci., Univ. of Ind. Technol., Kanagawa, Japan
fDate :
5/1/1993 12:00:00 AM
Abstract :
The relationship between Hornor´s method for polynomial evaluation and a first-order recursive filter with error feedback (EFB) is described. It is shown that EFB is a useful technique for reducing the roundoff errors that occur in evaluating a function by polynomial approximation
Keywords :
digital arithmetic; digital filters; feedback; filtering and prediction theory; function evaluation; polynomials; roundoff errors; Hornor method; error feedback; first-order recursive filter; fixed-point arithmetic; function evaluation; polynomial approximation; polynomial evaluation; roundoff error reduction; Computer errors; Digital filters; Electronic switching systems; Equations; Feedback; Fixed-point arithmetic; Polynomials; Quantization; Roundoff errors; Signal processing algorithms;
Journal_Title :
Signal Processing, IEEE Transactions on
