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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Papers
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2 citations
Journal Article•
TL;DR: An H2 filter design is formulated as a nonlinear optimization problem for time delay systems, where there are time delay terms in the state and in the output using the H2 norm computation method.
Abstract: An H2 filter is derived for time delay systems, where there are time delay terms in the state and in the output. A method to compute the H2 norm of time delay systems is proposed. Based on the H2 norm computation method, an H2 filter design is formulated as a nonlinear optimization problem.
2 citations
Patent•
20 Jul 2004
TL;DR: An improved Bessel array of electromagnetic transducers, in which the Bessel coefficients (phase and/or magnitude) are applied only in a high frequency range, where off-axis interference patterns between the outputs of respective transducers cause undesirable acoustic results, was proposed in this paper.
Abstract: An improved Bessel array of electromagnetic transducers, in which the Bessel coefficients (phase and/or magnitude) are applied only in a high frequency range, where off-axis interference patterns between the outputs of respective transducers cause undesirable acoustic results. One improvement is in using an all-pass filter or the like in lieu of an inverter in the inverting Bessel coefficient path, to provide an in-phase signal in low frequencies and an opposite-phase signal in high frequencies. This achieves the improved off-axis result of a conventional Bessel array, with improved low-frequency maximum sound pressure and efficiency. Another improvement is in using a frequency-dependent voltage divider in the half-strength Bessel coefficient paths, to provide full-strength signals in low frequencies and half-strength signals in high frequencies. This achieves even more improved low-frequency maximum sound pressure.
2 citations
TL;DR: In this paper, a simple uniform bound for the ratio of two modified spherical Bessel functions is derived, where the arguments of the two functions are complex, but their ratio is real.
2 citations
Posted Content•
TL;DR: Srivastava and Cetinkaya as discussed by the authors defined a generalized Pochhammer symbol and its applications to hypergeometric functions and obtained properties of the unified family such as generating function, integral representation, Laplace transform and Mellin transform.
Abstract: In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [ Srivastava HM, Cetinkaya A, K{\i}ymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions. Applied Mathematics and Computation, 2014, 226 : 484-491] is defined. Several potentially useful properties of the unified family such as generating function, integral representation, Laplace transform and Mellin transform are obtained. Besides, the unified Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions are given as a series of Bessel functions. Furthermore, the derivatives, recurrence relations and partial differential equation of the so-called unified family are found. Moreover, the Mellin transform of the products of the unified Bessel functions are obtained. Besides, a three-fold integral representation is given for unified Bessel function. Some of the results which are obtained in this paper are new and some of them coincide with the known results in special cases.
2 citations