Add to ORKGThis paper studies a class of filter banks called the Ramanujan filter banks which are based on Ramanujan-sums. It is shown that these filter banks have some important mathematical properties which allow them to reveal localized hidden periodicities in real-time data. These are also compared with traditional comb filters which are sometimes used to identify periodicities. It is shown that non-adaptive comb filters cannot in general reveal periodic components in signals unless they are restricted to be Ramanujan filters. The paper also shows how Ramanujan filter banks can be used to generate time-period plane plots which track the presence of time varying, localized, periodic components
In the year 1918, the Indian mathematician Srinivasa Ramanujan proposed a set of sequences called Ra...
The mathematician Ramanujan introduced a summation in 1918, now known as the Ramanujan sum c_q(n). I...
It is well-known that the Ramanujan-sum c_q(n) has applications in the analysis of periodicity in se...
This paper studies a class of filter banks called the Ramanujan filter banks which are based on Rama...
We propose a new filter-bank structure for the estimation and tracking of periodicities in time seri...
Ramanujan filter banks (RFB) are useful to generate time-period plane plots which allow one to local...
Ramanujan filter banks (RFB) are useful to generate time-period plane plots which allow one to local...
The Ramanujan sum c_q(n) has been used by mathematicians to derive many important infinite series ex...
Recently, a new filter-bank known as the Ramanujan Filter Bank (RFB) was proposed to detect, estimat...
Recently, a new filter-bank known as the Ramanujan Filter Bank (RFB) was proposed to detect, estimat...
Ramanujan-sums have in the past been used to extract hidden periods. In a recent paper it was shown ...
Ramanujan-sums have in the past been used to extract hidden periods. In a recent paper it was shown ...
Ramanujan-sums have in the past been used to extract hidden periods. In a recent paper it was shown ...
Ramanujan-sums have in the past been used to extract hidden periods. In a recent paper it was shown ...
The famous mathematician S. Ramanujan introduced a summation in 1918, now known as the Ramanujan sum...
In the year 1918, the Indian mathematician Srinivasa Ramanujan proposed a set of sequences called Ra...
The mathematician Ramanujan introduced a summation in 1918, now known as the Ramanujan sum c_q(n). I...
It is well-known that the Ramanujan-sum c_q(n) has applications in the analysis of periodicity in se...
This paper studies a class of filter banks called the Ramanujan filter banks which are based on Rama...
We propose a new filter-bank structure for the estimation and tracking of periodicities in time seri...
Ramanujan filter banks (RFB) are useful to generate time-period plane plots which allow one to local...
Ramanujan filter banks (RFB) are useful to generate time-period plane plots which allow one to local...
The Ramanujan sum c_q(n) has been used by mathematicians to derive many important infinite series ex...
Recently, a new filter-bank known as the Ramanujan Filter Bank (RFB) was proposed to detect, estimat...
Recently, a new filter-bank known as the Ramanujan Filter Bank (RFB) was proposed to detect, estimat...
Ramanujan-sums have in the past been used to extract hidden periods. In a recent paper it was shown ...
Ramanujan-sums have in the past been used to extract hidden periods. In a recent paper it was shown ...
Ramanujan-sums have in the past been used to extract hidden periods. In a recent paper it was shown ...
Ramanujan-sums have in the past been used to extract hidden periods. In a recent paper it was shown ...
The famous mathematician S. Ramanujan introduced a summation in 1918, now known as the Ramanujan sum...
In the year 1918, the Indian mathematician Srinivasa Ramanujan proposed a set of sequences called Ra...
The mathematician Ramanujan introduced a summation in 1918, now known as the Ramanujan sum c_q(n). I...
It is well-known that the Ramanujan-sum c_q(n) has applications in the analysis of periodicity in se...