On amplitude and frequency demodulation using energy operators
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Cites background or methods from "On amplitude and frequency demodula..."
...[36] There are indeed methods other than Hilbert transform that can be used to calculate instantaneous frequency, such as the Wigner-Ville distribution [Cohen, 1995], the Teager energy operator [Kaiser, 1990; Maragos et al., 1993a, 1993b], and wavelet analysis....
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...More recently, Huang [2005b] has also identified the Teager energy operator [Kaiser, 1990; Maragos et al., 1993a, 1993b] as an extremely local and sharp test for harmonic distortions within any IMF derived from data....
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"On amplitude and frequency demodula..." refers background in this paper
...Kaiser [ 2 ] showed that if w(n) is a discrete-time zero-mean white noise sequence, then...
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...The discrete operator also has similar properties [ 2 ], [3]:...
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...The reasoning [ 2 ], [3] proceeds as follows: Consider an undriven linear undamped oscillator consisting of a mass m and a spring of constant k. Its displacement x(t) is governed by the motion equation mx + kx = 0, for which the general solution is a cosine x(t) = A cos (wot + e) with wo = m. The instantaneous energy E,, of this undamped oscillator is constant and equal to the sum of its kinetic and potential energy; i.e.,...
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