Showing papers on "Bessel filter published in 1974"

A Bessel rational filter

Abstract: An extension of the Bessel filter is given for which the transfer function is a rational function with finite zeros A special case is shown to combine the constant magnitude response of the all-pass filter with the linear phase response of the Bessel filter A design example for a second-order all-pass constant time delay filter is given; there is good agreement with theory

The inverse laplace transform of a function of the m-derived filters

Abstract: The inverse Laplace transformation of a transfer function of the m-derived wave filters is presented. Using this result, the transient responses of a composite wave filter and a distributed amplifier using m-derived filter sections are derived. They are shown to be expressible as sums of integrals involving generalized hypergeometric functions in the same way that the solutions for other wave filters involve Bessel functions.

Numerical Evaluation of Oscillatory Integrals with Specific Application to the Modified Bessel Function (K sub i, zeta) (x).

Abstract: : The authors present an orthogonalized Fourier method for the numerical evaluation of oscillatory integrals which have an infinite range of integration. This method in contrast to others which have been developed, attains maximum efficiency in the limit of rapid oscillations. The results are compared to those obtained from a Gaussian integration scheme and the Shanks acceleration of the Gaussian results. Special attention is given to the evaluation of the modified Bessel Function (K sub i, zeta) (x).