Removal of narrowband interference (PLI in ECG signal) using Ramanujan periodic transform (RPT)

Shah, Shaik Basheeruddin; Chakka, Vijay Kumar; Goli, Srikanth; Reddy, A. Satyanarayana

doi:10.1109/icspcom.2016.7980582

Cited by 10 publications

(1 citation statement)

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“…Dictionary approaches were also developed for detecting periods and a generalized framework of nested periodic dictionaries is presented in [5]. Ramanujan periodicity transform (RPT) is shown to be useful in applications such as robust detection of brain stimuli for brain computer interfaces [6]- [8] and removal of interference from ECG signals [9]- [11]. An overview of recent developments can be found in [14].…”

Section: Introductionmentioning

confidence: 99%

On the Zeros of Ramanujan Filters

Kulkarni

Vaidyanathan

2020

IEEE Signal Process. Lett.

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Ramanujan filter banks have been used for identifying periodicity structure in streaming data. This paper studies the locations of zeros of Ramanujan filters. All the zeros of Ramanujan filters are shown to lie on or inside the unit circle in the z-plane. A convenient factorization appears as a corollary of this result, which is useful to identify common factors between different Ramanujan filters in a filter bank. For certain families of Ramanujan filters, further structure is identified in the locations of zeros of those filters. It is shown that increasing the number of periods of Ramanujan sums in the filter definition only increases zeros on the unit circle in z-plane. A potential application of these results is that by identifying common factors between Ramanujan filters, one can obtain efficient implementations of Ramanujan filter banks (RFB) as demonstrated here.

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