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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32 citations
TL;DR: In this paper, the radius of uniform convexity for three kinds of normalized Bessel functions of the first kind was determined and necessary and sufficient conditions were given for the parameters of the three normalized functions such that they were uniformly convex in the open unit disk.
31 citations
TL;DR: Improvements to the SNR that can be achieved using wavelet denoising instead of Bessel filtering can be used to achieve robust statistical analyses of these recordings, which may provide important insights into nanopore translocation dynamics and mechanisms of ion channel function.
Abstract: Recent work has pushed the noise-limited bandwidths of solid-state nanopore conductance recordings to more than 5 MHz and of ion channel conductance recordings to more than 500 kHz through the use of integrated complementary metal-oxide-semiconductor (CMOS) integrated circuits. Despite the spectral spread of the pulse-like signals that characterize these recordings when a sinusoidal basis is employed, Bessel filters are commonly used to denoise these signals to acceptable signal-to-noise ratios (SNRs) at the cost of losing many of the faster temporal features. Here, we report improvements to the SNR that can be achieved using wavelet denoising instead of Bessel filtering. When combined with state-of-the-art high-bandwidth CMOS recording instrumentation, we can reduce baseline noise levels by over a factor of 4 compared to a 2.5 MHz Bessel filter while retaining transient properties in the signal comparable to this filter bandwidth. Similarly, for ion-channel recordings, we achieve a temporal response bett...
31 citations
TL;DR: It is shown that the proposed allpass fractional delay filter is stable for positive delay, according to the properties for the coefficients of the denominator polynomial, and the target function and corresponding power series are calculated.
Abstract: In this letter, we propose a novel all-pass (AP) fractional delay filter whose denominator polynomial is obtained by truncating the power series of a certain function. This function is derived from the frequency response of the denominator whose magnitude response is related to the desired phase response through the Hilbert transform since the denominator of a stable AP filter is of minimum phase. The target function and corresponding power series are calculated analytically and expressed in closed form. The closed-form expressions facilitate the analysis of stability. According to the properties for the coefficients of the denominator polynomial, we show that the proposed AP filter is stable for positive delay. Numerical examples indicate that the phase delays of the proposed filters are flat around DC.
31 citations
TL;DR: The methodology of varying, in the time parameters, a low-pass Bessel filter and a filter of a constant component is presented, which allows better preservation of the edge shape, as compared with traditional filtering techniques.
Abstract: One important problem of signal processing in measurement systems is designing a filter that possesses a linear-phase response and, at the same time, has a short transient state. This paper presents the methodology of varying, in the time parameters, a low-pass Bessel filter and a filter of a constant component. In the proposed filters, significant shortening of the transient state is achieved at the cost of a slight increase in oscillations. This paper also addresses the problems that are connected with continuous running of the filters with varying parameters. The presented approach allows better preservation of the edge shape, as compared with traditional filtering techniques. Typical filtering results are presented, which are obtained by simulations of selected structures of filters with varying parameters.
31 citations