Topic

# Bessel filter

About: Bessel filter is a(n) research topic. Over the lifetime, 656 publication(s) have been published within this topic receiving 16808 citation(s).

##### Papers published on a yearly basis

##### Papers

More filters

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01 Jan 1944

TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.

Abstract: 1. Bessel functions before 1826 2. The Bessel coefficients 3. Bessel functions 4. Differential equations 5. Miscellaneous properties of Bessel functions 6. Integral representations of Bessel functions 7. Asymptotic expansions of Bessel functions 8. Bessel functions of large order 9. Polynomials associated with Bessel functions 10. Functions associated with Bessel functions 11. Addition theorems 12. Definite integrals 13. Infinitive integrals 14. Multiple integrals 15. The zeros of Bessel functions 16. Neumann series and Lommel's functions of two variables 17. Kapteyn series 18. Series of Fourier-Bessel and Dini 19. Schlomlich series 20. The tabulation of Bessel functions Tables of Bessel functions Bibliography Indices.

9,570 citations

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TL;DR: In this article, a solution obtained by a direct approximation procedure in the z plane is presented, where the denominator of the transfer function turns out to be a Gaussian hypergeometric function, connected with the Legendre functions.

Abstract: A well-known limitation of the recursive digital filter, when compared to the nonrecursive filter, is its incapability of having a strictly linear phase characteristic; thus it may only approximate a constant group delay. For the analog filters the choice of the maximally flat criterion leads to the use of the Bessel polynomials. Yet digital approximations of these continuous filter functions are inadequate to yield the true maximally flat delay approximation of the recursive filters. Our purpose is to provide for the problem at hand a solution obtained by a direct approximation procedure in the z plane. The denominator of the transfer function turns out to be a Gaussian hypergeometric function, more particularly connected with the Legendre functions. The stability of the filters is discussed and some numerical results in regard to the amplitude and phase responses as well as the pole loci are given.

231 citations

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175 citations

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01 Jan 1998

TL;DR: In this article, the authors discuss the problem of repruction, or the coying of m acineredable fles (inluding his one) to ny srver om pter, is described.

Abstract: IS B N 0-5243064-X ) C opright (C ) 19-1992 by C am bidge U nirsity P res.P rogram s C opright (C ) 19-1992 by N um eical R eipes S ftw are. P rm ission is grnted or inrnet uers to m ke ne pper cpy or teir ow n peonal use. F uther repruction, or ny coying of m acineredable fles (inluding his one) to ny srver om pter, is sictly proibited. T o oder N um eical R eipes boks or C D R O M s, visit w esite hp://w w w .n.com or call 1-8072-7423 (N orth A m erica on),or snd em il to direcustserv@ am brie.org (otside N orth A m eca). For n larger than a dozen or so, betai is a much better way to evaluate the sum in

162 citations

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Bell Labs

^{1}TL;DR: In this paper, a fifth-order CMOS continuous-time Bessel filter with a tunable 6-to 15-MHz cutoff frequency is described, which achieves a dynamic range of 55 dB while dissipating 96 mW in a 5-V 0.9-mu m CMOS process.

Abstract: A fifth-order CMOS continuous-time Bessel filter with a tunable 6- to 15-MHz cutoff frequency is described. This fully balanced transconductance-capacitor (G/sub m/-C) leapfrog filter achieves a dynamic range of 55 dB while dissipating 96 mW in a 5-V 0.9- mu m CMOS process. The author reviews the disk drive application and filtering requirements, and explains why the G/sub m/-C continuous-time filtering approach was used. The on-chip master-slave tuning system uses a voltage-controlled oscillator (VCO). Experimental results are presented. >

160 citations