Topic
Bessel filter
About: Bessel filter is a research topic. Over the lifetime, 656 publications have been published within this topic receiving 16808 citations.
Papers published on a yearly basis
Papers
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TL;DR: In this paper, the first positive zero of Bessel functions was computed in multiple precision using the Trefftz-Fichera orthogonal invariants method, and the first eigenvalue of the exponential potential Schrodinger operator with the same accuracy.
Abstract: In order to perform the rigorous computation of the zeros of Bessel functions, we exploit classical approximants going back to Euler and recently generalized in the light of the Trefftz-Fichera orthogonal invariants method. Working in multiple precision (up to 140 significant figures in decimal system), we compute explicit approximants obtaining more than 100 exact figures for the first positive zero. By inversion of this zero as a function of the order, we evaluate the first eigenvalue of the exponential potential Schrodinger operator with the same accuracy.
1 citations
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01 Aug 1982
1 citations
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TL;DR: In this article, the Jackson q-integral is used to represent Modified Bessel functions and Bessel-Macdonald functions as general solutions of second order difference equations, and a collection of their representations are presented.
Abstract: The $q$ analog of Modified Bessel functions and Bessel-Macdonald functions, were defined in our previous work (q-alg/950913) as general solutions of a second order difference equations. Here we present a collection of their representations by the Jackson q-integral.
1 citations
01 Jan 2007
TL;DR: A log-domain 4 th order Bessel filter is proposed and analyzed and its performance in comparison with an AO-RC design is emphasized.
Abstract: In signal processing, mainly in audio domain, the need for a linear phase characteristic is sometimes more important than the frequency specifications concerning the pass band and stop bandwidth. For these applications, we need a Bessel approximation for the frequency characteristics. If the application is designed for portable devices low power and low voltage building blocks are also required. Log-Domain circuits may be very suitable. We propose and analyze in this paper a log-domain 4 th order Bessel filter and emphasize its performance in comparison with an AO-RC design.
1 citations
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TL;DR: The article introduced one kind using the MATLAB signal processing toolbox (Signal Processing Toolbox) the fast effective design the conventional analogue filter design method which is composed by the software.
Abstract: The traditional analogue filter design process is complex,the computation work load is big,the filter characteristic adjustment difficulty,has affected its application.The article introduced one kind using the MATLAB signal processing toolbox (Signal Processing Toolbox) the fast effective design the conventional analogue filter design method which is composed by the software.Using the MATLAB design filter,may contrast the design request and the filter characteristic adjustment parameter as necessary,direct-viewing simple,enormous reduced the work load,is advantageous optimization which designs in the filter.
1 citations