Efficient multiplier-less structures for Ramanujan filter banks

Abstract

Ramanujan filter banks (RFB) are useful to generate time-period plane plots which allow one to localize multiple periodic components in the time domain. For such applications, the RFB produces more satisfactory results compared to short time Fourier transforms and other conventional methods, as demonstrated in recent years. This paper introduces a novel multiplier-less, hence computationally very efficient, structure to implement Ramanujan filter banks, based on a new result connecting Ramanujan sums and natural periodic bases.

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