✦ LIBER ✦

Padé approximations in noise filtering

✍ Scribed by Daniel Bessis

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 217 KB
Volume: 66
Category: Article
ISSN: 0377-0427
DOI: 10.1016/0377-0427(95)00177-8

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Padé approximants and noise: rational fu

Padé approximants and noise: rational functions

✍ Jacek Gilewicz; Maciej Pindor 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 205 KB

We continue a study of PadÃ e approximants (PA) for a series perturbed by random noise -this time we consider more general rational functions. We begin with the simple case of a sum of two geometric series, and then show how these considerations can be extended to a general rational function. We do

Padé approximants of noncausal digital f

Padé approximants of noncausal digital filters

✍ Chi-Tsong Chen 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 280 KB

Based on the requirement of stability and causality, this paper presents a new method of designing IZR digital filters. The method is essentially a combination of a time-domain and a frequency-domain technique. The result of this method is identical to the one in ( 5) which was derived without any p

Vector Padé-Type Approximants and Vector

Vector Padé-Type Approximants and Vector Padé Approximants

✍ A. Salam 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 146 KB

The aim of this paper is to define vector Pade -type approximants and vector Pade approximants following the same ideas as in the scalar case. This approach will be possible using Clifford's algebra structures. Vector Pade approximants will be derived from the theory of formal vector orthogonal poly

Padé-type approximants and errors of Pad

Padé-type approximants and errors of Padé approximants

✍ Jacek Gilewicz; Maciej Pindor 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 573 KB

The Brezinski's idea of using Pad6-type approximants to estimate errors of Pad6 approximants is considerably developed. A new, more effective method based on this idea is presented and illustrated by numerical examples.

Padé approximants and noise: A case of g

Padé approximants and noise: A case of geometric series

✍ Jacek Gilewicz; Maciej Pindor 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 617 KB

We study effects, on Pad6 approximants (PA), of a random noise added to coefficients of a power series. Numerical experiments performed during the last 30 years have shown that such noise results in the appearance of, the so-called, Froissart doublets (FD) --pairs of zeros and poles separated by a d

The Padé approximant

✍ George A Baker Jr.; J.L Gammel 📂 Article 📅 1961 🏛 Elsevier Science 🌐 English ⚖ 432 KB