Synthesis of Constant-Time-Delay Ladder Networks Using Bessel Polynomials
- 1 November 1954
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IRE
- Vol. 42 (11) , 1666-1675
- https://doi.org/10.1109/jrproc.1954.274662
Abstract
A realizable, low-pass, minimum-phase transfer function is constructed which produces "maximally flat" time delay as a function of frequency, and which is associated with an impulse response that resembles closely a Gaussian curve properly delayed with respect to t= 0. The delay and loss characteristics are particularly easy to evaluate, since this transfer function can be expressed in terms of conveniently tabulated functions. It is shown how to realize this transfer function as the transfer impedance of a ladder network containing only low-Q elements, and the response of this network is put into perspective to those of conventionally designed delay networks. Also, a class of nonminimum-phase transfer functions is generated from the above transfer functions in order to offer added flexibility. The delay and loss characteristics of the nonminimum-phase transfer functions are described, but their network realization is not considered in this paper.Keywords
This publication has 9 references indexed in Scilit:
- Design of low-frequency constant time delay linesTransactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics, 1952
- The design of linear-phase low-pass filtersProceedings of the IEE - Part IIIA: Television, 1952
- The Bessel PolynomialsCanadian Journal of Mathematics, 1951
- On some algebraic properties of the Bessel polynomialsTransactions of the American Mathematical Society, 1951
- On the Design of Networks for Constant Time DelayJournal of Applied Physics, 1949
- A new class of orthogonal polynomials: The Bessel polynomialsTransactions of the American Mathematical Society, 1949
- Phase and Amplitude Distortion in Linear NetworksProceedings of the IRE, 1948
- Polynomials Whose Zeros Have Negative Real PartsThe American Mathematical Monthly, 1945
- Synthesis of Reactance 4‐Poles Which Produce Prescribed Insertion Loss Characteristics: Including Special Applications To Filter DesignJournal of Mathematics and Physics, 1939