Showing papers on "Bessel filter published in 1983"
TL;DR: In this paper, the smooth factor of the Bessel function is replaced by a truncated Chebyshev series approximation and the resulting integral is computed exactly, and the numerical aspects of this exact integration are discussed.
Abstract: The numerical evaluation of Bessel function integrals may be difficult when the Bessel function is rapidly oscillating in the interval of integration. In the method presented here, the smooth factor of the integrand is replaced by a truncated Chebyshev series approximation and the resulting integral is computed exactly. The numerical aspects of this exact integration are discussed.
72 citations
TL;DR: In this paper, the concavity of zeros of bessel functions is investigated and it is shown that zeros are concave in the sense that the concaveness of a zeros is a function of the number of elements in the function.
Abstract: (1983). On the concavity of zeros of bessel functions. Applicable Analysis: Vol. 16, No. 4, pp. 261-278.
37 citations
5 citations
01 Jan 1983
TL;DR: In this article, the effects of the characteristics of the filter used are analyzed for highfrequency transients in the analysis of pyrotechnic events such as explosive bolts for spacecraft separation.
Abstract: Some of the methods used for acquisition and digitization of high-frequency transients in the analysis of pyrotechnic events, such as explosive bolts for spacecraft separation, are discussed with respect to the reduction of errors in the computed shock response spectrum. Equations are given for maximum error as a function of the sampling rate, phase distortion, and slew rate, and the effects of the characteristics of the filter used are analyzed. A filter is noted to exhibit good passband amplitude, phase response, and response to a step function is a compromise between the flat passband of the elliptic filter and the phase response of the Bessel filter; it is suggested that it be used with a sampling rate of 10f (5 percent).
2 citations
TL;DR: In this article, it was shown that two Bessel functions J^( x), JE( xx) could have two zeros which were common to both functions, and a computer program was made which takes approximate values of v, y and jvk =Jy,h and Jvk+, h and h+ =Jyi,h+ and from them computes the exact values, and it is shown how to find the necessary approximate values to initiate the computation.
Abstract: In [ 1 ] it was shown that two Bessel functions J^( x), JE( xx) could have two zeros which were common to both functions, and a computer program was made which takes approximate values of v, y and jvk =Jy,h and jvk+, =Jy,h+, and from them computes the exact values Here it will be shown how to find the necessary approximate values to initiate the computation A table of the smaller ratios m: n with the orders of the functions less than one hundred is given
2 citations