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UBC Theses and Dissertations

On numerical approximation in synthesis for prescribed amplitude response Harris, Walter James Henry


This thesis describes a new method of obtaining suitable equal-ripple rational functions for use in the synthesis of networks. It has two principal advantages over other methods used for this purpose. Firstly, it is capable of finding the best approximation to a given magnitude function, phase function or both simultaneously. The error of approximation may be weighted as desired at any frequency in the range of approximation. Secondly, it is easily adapted for use on anautomatic computer. This enables quick comparison of the approximations produced by using rational functions of different orders of complexity.

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