Period Estimation and Tracking: Filter Bank Design Using Truth Tables of Logic

Abstract

Recently, a new filter-bank known as the Ramanujan Filter Bank (RFB) was proposed to detect, estimate and track periodic behavior in data, with several advantages over the traditional methods. Apart from period estimation, the RFB can determine if a given periodic signal is actually a sum of multiple periodic signals with smaller periods. But if one is only interested in period estimation, it is shown in this paper that filter- banks with far fewer filters than the RFB can be designed. These new designs use ideas from digital logic analysis to substantially reduce the number of filters in the RFB.

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