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Bessel filter
About: Bessel filter is a research topic. Over the lifetime, 656 publications have been published within this topic receiving 16808 citations.
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4 citations
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TL;DR: In this article, power series representations of the modified Bessel functions (McDonald functions) were derived using the relatively little known formalism of fractional derivatives, and the resulting summation formulae are believed to be new.
Abstract: Some power series representations of the modified Bessel functions (McDonald functions $K_{\alpha}$) are derived using the relatively little known formalism of fractional derivatives. The resulting summation formulae are believed to be new.
4 citations
28 Sep 2020
TL;DR: The influence of non-integer filter order to the value of the constant group delay of the filter is presented and it is shown that the group delay value can be additionally tuned by changing the parameter α.
Abstract: In this paper we present the realization of fractional-order analog filter with Bessel approximation, having linear phase response, which is also usually represented by a constant group delay. There are many applications such as analogue video signal processing, radar and sonar receivers, hard disk drive read channel applications, analog front end of biomedical signal processing, where linear phase response is desirable. Optimally designed Bessel filter can provide better transient response in the passband, it reduces overshoot, ringing and provides minimal phase distortion. In this work we research Bessel approximation with the non-integer order $\mathrm{n}+\alpha;\mathrm{n}$ is integer number and $0\lt\alpha\lt1$. The influence of non-integer filter order to the value of the constant group delay of the filter is presented. It is shown that the group delay value can be additionally tuned by changing the parameter α.
4 citations
TL;DR: In this article, the authors established a detailed procedure for the continued-fraction expansion of the tanget phase function and showed that the procedure is a generalization of the Bessel filter approximation.
Abstract: The direct continued-fraction method for model reduction corresponds to the Pode formula. The squared magnitude continued-fraction method for stable reduced models is a modification of the direct method. We naturally think of the counterpart of the squared magnitude continued-fraction method—the tangent phase function. This paper establishes a detailed procedure for the continued-fraction expansion of the tanget phase function. It turns out that the procedure is a generalization of the Bessel filter approximation. Therefore, new light has been shed on the classical filter problem. Two demonstrative examples—a pitch rate control of a supersonic transport aircraft and a pupil reflex system—are included.
4 citations
09 Jun 2011
TL;DR: The spherical Bessel Filter (BF) is introduced for rotation invariant 3D object detection tasks and is based on the Harmonic Filter and thus inherits all the gentle properties of the HF, in particular the data driven adaptability and the processing speed.
Abstract: The detection of 3D objects and landmarks in arbitrary orientations is one of the most challenging tasks in biomedical 3D image analysis. In this paper we introduce the spherical Bessel Filter (BF) for rotation invariant 3D object detection tasks. The BF is based on the Harmonic Filter (HF) and thus inherits all the gentle properties of the HF, in particular the data driven adaptability and the processing speed. In contrast to the HF the BF benefits from a better object representation based on local spherical Fourier basis functions leading to noticeably better object detections and localizations.
4 citations