Floating-point roundoff errors of second-order state-space digital filters.

• Autorzy: Świder Z.
• Języki publikacji: EN

Abstrakty

EN

An expression for the output roundoff error variance of second-order state-space digital filter implemented in floating-point arithmetic is derived. The expression is further specified to white-noise and constant inputs which are common in feedback systems. Numerical results are presented for four typical realizations, i.e., controller and observer canonical forms, balanced realization, and minimum-noise-gain filter. All possible realizations are examined by means of a parametric approach. It is demonstrated that a simple modal realization involving poles and residues of the filter transfer function generates error not much larger than that of the minimum-noise-gain realization.

Słowa kluczowe

EN

output roundoff error; second-order digital filter; floating-point arithmetic; transfer function; poles

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2000
• Tom: Vol. 26, nr 1
• Strony: 67--81
• Opis fizyczny: Bibliogr. 13 poz., tab. 3, rys. 3,

Twórcy

autor

Świder Z.

• Dept. of Electr. Eng., Tech. Univ. Rzeszów, Poland.