Showing papers on "Bessel filter published in 2010"
01 Oct 2010
TL;DR: In this paper, some new inequalities for quotients of modified Bessel functions of the first and second kinds are deduced, and some developments on bounds for higher-order monotonicity properties of these functions and applications to a special function that arises in finite elasticity are summarized.
Abstract: Some new inequalities for quotients of modified Bessel functions of the first and second kinds are deduced. Moreover, some developments on bounds for modified Bessel functions of the first and second kinds, higher-order monotonicity properties of these functions and applications to a special function that arises in finite elasticity, are summarized. The key tool in our proofs is a frequently used criterion for the monotonicity of the quotient of two Maclaurin series.
103 citations
Journal Article•
33 citations
TL;DR: In this article, the authors deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind, and explicitly write the solutions of the time-fractional diffusion equations involving the adjoint operators of a square Bessel process and a Bessel Process.
Abstract: In this paper we deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind. Such convolutions allow us to explicitly write the solutions of the time-fractional diffusion equations involving the adjoint operators of a square Bessel process and a Bessel process
18 citations
17 Dec 2010
TL;DR: In this paper, a modification of data transmission filter by the application of Generalized Bessel transformations with rational filter is presented, which gives the denominator of filter transfer function in analytic closed form, while its numerator is determined by solving a set of transmission zeros and even polynomial of order.
Abstract: This paper present modification of data transmission filter by the application of Generalized Bessel transformations with rational filter. The technique gives the denominator of filter transfer function in analytic closed form, while its numerator is determined by solving a set of transmission zeros and even polynomial of order. The results to filter is straightforward and will be given in a later more detailed contribution together with comparison with the other existing design methods, such a comparison reveals the superiority of the present technique.
12 citations
TL;DR: Two general forms of Jordan's inequalities for the Bessel and modified Bessel functions are established, and proved by using l'Hospital's rule for monotonicity and some properties of the spherical Bessel, and two new infinite series are given.
Abstract: In this work, two general forms of Jordan's inequalities for the Bessel and modified Bessel functions are established, and proved by using l'Hospital's rule for monotonicity and some properties of the spherical Bessel and the modified spherical Bessel functions of the first kind. The applications of the results above give two new infinite series for the Bessel and modified Bessel functions.
11 citations
TL;DR: The Mathematica package discussed in this paper solves the problem of Integration, both analytical and numerical, of products of two spherical Bessel functions with an exponential and polynomial multiplying factor using a novel symbolic approach.
8 citations
TL;DR: In this paper, the area scintillation aspects of Bessel Gaussian and modified Bessel gaussian beams of zeroth order are investigated on the basis of equal source sizes and equal source powers.
Abstract: As an extension of our previous study, the area scintillation aspects of Bessel Gaussian and modified Bessel Gaussian beams of zeroth order are investigated. The analysis is carried out on the basis of equal source sizes and equal source powers. It is found that, when compared on equal source size basis, modified Bessel Gaussian beams always have less area scintillations than a Gaussian beam, while Bessel Gaussian beams exhibit more area scintillations. Comparison on equal source power basis, however, removes the advantage of modified Bessel Gaussian beams, that is, their area scintillations become nearly the same as those of the Gaussian beam. On the other hand, for the case of equal source powers, Bessel Gaussian beams with larger width parameters continue to have higher area scintillations than the Gaussian beam. We provide graphical illustrations for profiles of equal source size beams, equal source power beams and the curves to aid the selection of equal source power beams.
8 citations
Journal Article•
TL;DR: A series of simulation showed that: for sinusoid wave form, the elliptic filter can improve the frequency of synthesize furthest; for non-sine waveform, the Bessel filter can keep the delays of harmonics consistent.
Abstract: Based on the DDFS technology, the AFG can synthesize not only the sinusoid waveform, but also the non-sine periodic waveform. Being similar to the sinusoid, there are many harmonics and spurious noise in the output of AFG when non-sine waveform is synthesized. The LPF has great influence on the quality of synthesizing. Selecting the appropriate LPF according the output waveform style is a key step in whole system designing. A series of simulation showed that: for sinusoid waveform, the elliptic filter can improve the frequency of synthesize furthest; for non-sine waveform, the Bessel filter can keep the delays of harmonics consistent.
7 citations
13 Mar 2010
TL;DR: A method based on MATLAB function besselap and zp2sos to obtain the Bessel polynomials and design example of real time crossover is given to show the practicability of the method.
Abstract: Design crossover using Bessel filter is a good selection. However there is no MATLAB function to design digital Bessel filters. In this paper a method for the design of digital Bessel filters is presented. It is based on MATLAB function besselap and zp2sos to obtain the Bessel polynomials. Analog filter transform function Ha(s) can be obtained by search N-th order normalized Bessel polynomials. Transform Ha(s) into H(z) using the bilinear transformation and obtain the general coefficients functions of digital Bessel filters from H(z). The method is validated by MATLAB script. Design example of real time crossover is given to show the practicability of the method.
7 citations
Proceedings Article•
01 Jan 2010
TL;DR: In this paper, the authors report the design and performance of 5th order DGS based Bessel type LPF with 3 dB cut-off frequency at 2.5 GHz.
Abstract: We report the design and performance of 5th order DGS based Bessel type LPF with 3 dB cut-off frequency at 2.5 GHz. It significantly improves the cut-off performance of the lumped element based Bessel type LPF. The sharpness of pass cut-off of the DGS based Bessel filter is comparable to that of the sharpness of the Butterworth kind LPF. The frequency range of 10 dB return loss of the DGS based Bessel LPF is 1.91 GHz as against 0.8 GHz for the lumped element based Bessel LPF. The variation in group delay of the DGS based Bessel LPF in pass-band is 42.8 ps; whereas the DGS based Chebyshev and Butterworth LPF have group delays 277 ps and 120 ps respectively.
6 citations
Proceedings Article•
01 Dec 2010TL;DR: In this paper, the authors report the design and performance of 5th order DGS based Bessel type LPF with 3 dB cut-off frequency at 2.5 GHz.
Abstract: We report the design and performance of 5th order DGS based Bessel type LPF with 3 dB cut-off frequency at 2.5 GHz. It significantly improves the cut-off performance of the lumped element based Bessel type LPF. The sharpness of pass cut-off of the DGS based Bessel filter is comparable to that of the sharpness of the Butterworth kind LPF. The frequency range of 10 dB return loss of the DGS based Bessel LPF is 1.91 GHz as against 0.8 GHz for the lumped element based Bessel LPF. The variation in group delay of the DGS based Bessel LPF in pass-band is 42.8 ps; whereas the DGS based Chebyshev and Butterworth LPF have group delays 277 ps and 120 ps respectively.
01 Jan 2010
TL;DR: A kind of receiver based on optical Bessel filter for DPSK/DQPSK signals direct detection is discussed, and good spectrums and back-to-back eye-diagrams for CSRz-DPSK and CSRZ-D QPSK can be achieved respectively in simulation.
Abstract: In this letter, a kind of receiver based on optical Bessel filter for DPSK/DQPSK signals direct detection is discussed By using this receiver, good spectrums and back-to-back eye-diagrams for CSRZ-DPSK and CSRZ-DQPSK can be achieved respectively in simulation Compared the traditional balanced receiver, it is simple, effective, and low costive for DPSK/DQPSK signals detection
03 Dec 2010
TL;DR: In this paper, the Modified Fast Hankel Transform (MFHFT) algorithm is proposed to overcome the branch-cut singularity and the surface wave poles singularity in dyadic multilayered Green's functions.
Abstract: When the Fast Hankel Transform filter technique is used to calculate the dyadic multilayered Green's functions, it can be difficult to obtain accurate numerical results because of the branch-cut singularity and the surface wave poles singularity. The Modified Fast Hankel Transform filter algorithm is proposed to overcome this problem by expressing the Bessel function with a complex argument as a sum of terms of product of Bessel function with the real part of the argument and Bessel function with the imaginary part of the argument. Then the Fast Han-kel Transform filter technique is applied to each expansion term. Numerical results confirm that the proposed approach has high accuracy and efficiency and successfully extends the applicability of the conventional Fast Hankel Transform method to general multilayered geometries.
TL;DR: A higher-order oscillator, including a nonlinear unit and an 8th-order low-pass active Bessel filter is described, which operates either in a one-scroll or two-scroll mode and describes the oscillations as hyperchaotic.
Abstract: A higher-order oscillator, including a nonlinear unit and an 8th-order low-pass active Bessel filter is described. The Bessel unit plays the role of "three-in-one": a delay line, an amplifier and a filter. Results of hardware experiments and numerical simulation are presented. Depending on the parameters of the nonlinear unit the oscillator operates either in a one-scroll or two-scroll mode. Two positive Lyapunov exponents, found at larger values of the negative slopes of the nonlinear function, characterize the oscillations as hyperchaotic.
09 Dec 2010
TL;DR: In this article, the authors prove two fundamental theorems for an edge detection algorithm based on a Bessel filter, which are the bases of a scale invariant feature extraction method in which extracted features are indepedent of scale.
Abstract: In this technical report, we prove two fundamental theorems for an edge detection algorithm based on a Bessel filter. These theorems are bases of a scale invariant feature extraction method in which extracted features are indepedent of scale.
Patent•
28 Oct 2010
TL;DR: In this paper, resistors R1, R2 are connected in parallel, respectively, to series elements L1, L2 connected in series between an input terminal 1 and an output terminal 2, and the other side terminal is grounded.
Abstract: PROBLEM TO BE SOLVED: To provide a Bessel filter which improves reflection characteristics (especially, outside a passband) at both an input side and an output side, and is suitable for reducing the size and price while being in compatible with transmission rates over a wide range. SOLUTION: Resistors R1, R2 are connected in parallel, respectively, to series elements L1, L2 connected in series between an input terminal 1 and an output terminal 2. Furthermore, resistors R3-R5 are connected in series, respectively, to shunt elements C1-C3 of each of which the one-side terminal is connected to three points of the input terminal 1, a connecting point of the series elements L1, L2 and the output terminal 2, and the other-side terminal is grounded. COPYRIGHT: (C)2011,JPO&INPIT
20 Sep 2010
TL;DR: It is confirmed that the proposed optical burst receiver has better performance than the previous AC-coupling one, and that raising the order of the transfer function improves receiver performance.
Abstract: To economically realize optical burst signal receivers for the Optical Network Unit (ONU) in the Ethernet Optical Switched Access Network (E-OSAN), we previously introduced optical burst receivers with AC-coupling and DC-coupling using off the shelf components, evaluated them, and then showed that the AC-coupling version had better performance. This paper proposes optical burst signal receivers that are based on the transfer function of order n, Gn(s)=1???Hn(s), where Hn(s) denotes a Bessel filter transfer function of order n. We present a design method for the proposed receivers and show their performances. We confirm that the proposed optical burst receiver has better performance than the previous AC-coupling one, and that raising the order of the transfer function improves receiver performance.
Journal Article•
TL;DR: In this paper, a pre-distorted design method with Bessel function for coupled resonator filter and multiplexer with the maximally flat group delay characteristic is presented and the results validate its effectiveness.
Abstract: In order to solve the problem of group delay of filter design, this paper presents pre-distorted design method with Bessel function for coupled resonator filter and multiplexer with the maximally flat group delay characteristic. At the same time, the formulas and unitary parameter table of Bessel function has been gotten in this paper. The directly coupled resonator pass band filter and multiplexer can be achieved by using this approach. The design two examples are presented and the group delay is flat. The results validate its effectiveness.
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.
Patent•
25 Jun 2010
TL;DR: The Bessel filter as discussed by the authors is an n-pole recursive digital filter, which is expressed as a ratio between (a) an (n−1) order polynomial of a complex number and (b) an n order polylogarithmic of the complex number, where n is a positive integer.
Abstract: A system for correcting infrared (IR) radiances includes an imager for receiving IR radiances and outputting intensity data corresponding to pixels in the imager. Also included is a stray light estimator for receiving the intensity data and estimating stray light in the intensity data. The stray light estimator includes a Bessel filter for low pass filtering the estimated stray light and providing corrected intensity data as an output to a user. The Bessel filter is an n-pole recursive digital filter, which is expressed as a ratio between (a) an (n−1) order polynomial of a complex number and (b) an n order polynomial of a complex number, where n is a positive integer. The Bessel filter includes an infinite response curve, in which the response curve monotonically decreases in amplitude as a function of frequency per pixels.