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- W1519382937 abstract "We propose a new filter-bank structure for the estimation and tracking of periodicities in time series data. These filter-banks are inspired from recent techniques on period estimation using high-dimensional dictionary representations for periodic signals. Apart from inheriting the numerous advantages of the dictionary based techniques over conventional period-estimation methods such as those using the DFT, the filter-banks proposed here expand the domain of problems that can be addressed to a much richer set. For instance, we can now characterize the behavior of signals whose periodic nature changes with time. This includes signals that are periodic only for a short duration and signals such as chirps. For such signals, we use a time vs period plane analogous to the traditional time vs frequency plane. We will show that such filter banks have a fundamental connection to Ramanujan Sums and the Ramanujan Periodicity Transform." @default.
- W1519382937 created "2016-06-24" @default.
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- W1519382937 date "2015-04-01" @default.
- W1519382937 modified "2023-09-26" @default.
- W1519382937 title "Ramanujan filter banks for estimation and tracking of periodicities" @default.
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- W1519382937 doi "https://doi.org/10.1109/icassp.2015.7178692" @default.
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