Topic
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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20 May 2019
TL;DR: The paper analyzed large numbers of ADC traces detected by the prototype Front-End Board (FEB) based on the CycloneV FPGA 5CEFA9F31I7 and saw that a non-negligible number of events may be lost if the anti-aliasing hardware filter is implemented on the FEB.
Abstract: The paper discusses the consequence of a standard approach (known as “Golden Rules”) to data acquisition for any surface detector of the cosmic rays experiments. When digitizing the analog signal, the spectrum is usually cut-off according to the Nyquist theorem. The cut-off frequency is set on a half of the sampling frequency. This approach allows avoiding aliasing effects. Nevertheless, if the signals, which we expect to detect, are very short with fast attenuated tails the anti-aliasing filter may dramatically reduce their amplitudes which in consequence may violate the standard trigger conditions. We analyzed large numbers of ADC traces detected by the prototype Front-End Board (FEB) based on the CycloneV FPGA 5CEFA9F31I7. The prototype FEB was not equipped with the anti-aliasing filter. We compared the original traces with filtered off-line in MATLAB. We see that a non-negligible number of events may be lost if the anti-aliasing hardware filter is implemented on the FEB.
TL;DR: For the Bessel integral transform (also called the Hankel transform), the authors derived Watson's theorem, generalizing the corresponding result for the Fourier-cosine transform, and derived numerous integral formulas for products of modified Bessel functions.
Abstract: For the Bessel integral transform (also called the Hankel transform), we derive Watson’s theorem, generalizing the corresponding result for the Fourier-cosine-transform. Therefore, we derive numerous integral formulas for products of modified Bessel functions, which are necessary for the proof.
14 Apr 2022
TL;DR: In this paper , the group-velocity of the Bessel-X optical wave-packet can be controlled by arbitrarily-axisymmetric pulse-front deformation.
Abstract: Abstract The group-velocity of the Bessel-X optical wave-packet can be controlled by introducing well-designed arbitrarily-axisymmetric pulse-front deformation, which permits realizing superluminal, subluminal, accelerating, decelerating, and even nearly-programmable group-velocities. To better understand the tunability of the group-velocity, the generation methods of this Bessel-X optical wave-packet and the mechanisms of the tunable group-velocity in both the physical and the Fourier spaces are investigated. We also studied the relationship with the recently-reported space-time optical wave-packet, and the group-velocity-tunable Bessel-X optical wave-packet is a subsection of the space-time optical wave-packet.
TL;DR: In this article, a design procedure is proposed for a filter with an integrator configuration in which the frequency deviation is small even if the frequency characteristic of the functional circuit deviates from the ideal one due to the parasitic elements in the circuit.
Abstract: The integrator configuration is a filter configuration method involving realization of operational function of each edge by the functional circuits of an integrated circuit based on the signal flow graph with the desired frequency characteristics, and can realize an arbitrary linear time-invariant continuous time system filter. In this paper, a design procedure is proposed for a filter with an integrator configuration in which the frequency deviation is small even if the frequency characteristic of the functional circuit deviates from the ideal one due to the parasitic elements in the circuit. In general, when the integration edge has a feedback edge to return its output to its own input in the signal flow graph, the integration edge and the feedback edge can be realized with ideal lossy integrators on the integrated circuit. Hence, there is a degree of freedom in realization of the integration edge with feedback to itself. In the proposed method, this degree of freedom is fully utilized to reduce the frequency deviation. The equation to evaluate the characteristic deviation by the parasitic elements is derived, and the parameter to express the degree of freedom is determined such that this deviation is reduced. As an application example, a third-order Bessel filter is designed. Its numerical simulation is used for confirming the effectiveness of the proposed method. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 83(6): 50–60, 2000
01 Jan 1972
TL;DR: In this article, a computer search was made for the optimum second-and third-order bandpass filters for use in narrow-band FM and PM systems, and the optimum filter for minimum distortion was found to be near the Bessel filter.
Abstract: A computer search was made for the optimum second- and third-order bandpass filters for use in narrow-band FM and PM systems. The optimum filter for minimum distortion was found to be near the Bessel filter. The results were fairly independent of modulation index and bandwidth.