A Fast Design Algorithm for Filters with the Restricted Roots using Multiple Extreme Frequency Points

Y. Sugita and N. Aikawa (Japan)


Successive Projection Method, Fritz John's Theorem, Multiple Extreme Frequency Points, IIR filter design, Minimum phase FIR filter


In conventional successive projection (SP) method, only one extreme frequency point at which the deviation from the given specification is maximized is used in the update of the filter coefficients. Therefore, enormous amount of iter ation numbers are necessary for research the solution which satisfies the given specification. In this paper, we propose a design method of filters with the restricted roots by SP method using multiple extreme frequency points based on Fritz John's theorem. As a result, the solution converges less iteration number than the conventional SP method.

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