Method, computer program, and system for intrinsic timescale decomposition, filtering, and automated analysis of signals of arbitrary origin or timescale
First Claim
1. A method for decomposing an input signal into a baseline signal and a residual output signal, comprising the steps of:
- (a) receiving an input signal into a processor;
(b) determining a monotonic residual segment with strictly negative minimum and strictly positive maximum and a baseline segment wherein said segments are defined on a time interval, the time interval comprising the interval between two successive extrema of the input signal and wherein the input signal on that interval is the sum of the baseline and the monotonic residual segments; and
(c) producing a baseline output signal and a residual output signal, wherein the baseline output signal is obtained from the baseline segment and the residual output signal is obtained from the monotonic residual segment as determined in step (b), such that the sum of the baseline and residual output signals is equal to the input signal thereby forming a decomposition of the input signal.
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Abstract
A method and system for intrinsic timescale decomposition, filtering, and automated analysis of signals of arbitrary origin or timescale including receiving an input signal, determining a baseline segment and a monotonic residual segment with strictly negative minimum and strictly positive maximum between two successive extrema of the input signal, and producing a baseline output signal and a residual output signal. The method and system also includes determining at least one instantaneous frequency estimate from a proper rotation signal, determining a zero-crossing and a local extremum of the proper rotation signal, and applying interpolation thereto to determine an instantaneous frequency estimate thereof. The method and system further includes determining at least one instantaneous frequency estimate from a proper rotation signal, extracting an amplitude-normalized half wave therefrom and applying an arc sine function to the amplitude-normalized half wave to determine an instantaneous frequency estimate of the proper rotation signal.
77 Citations
20 Claims
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1. A method for decomposing an input signal into a baseline signal and a residual output signal, comprising the steps of:
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(a) receiving an input signal into a processor; (b) determining a monotonic residual segment with strictly negative minimum and strictly positive maximum and a baseline segment wherein said segments are defined on a time interval, the time interval comprising the interval between two successive extrema of the input signal and wherein the input signal on that interval is the sum of the baseline and the monotonic residual segments; and (c) producing a baseline output signal and a residual output signal, wherein the baseline output signal is obtained from the baseline segment and the residual output signal is obtained from the monotonic residual segment as determined in step (b), such that the sum of the baseline and residual output signals is equal to the input signal thereby forming a decomposition of the input signal. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18)
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19. A method of determining at least one instantaneous frequency estimate from a proper rotation signal, including the steps of:
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(a) inputing a proper rotation signal to a processor; (b) determining a zero-crossing and a local extremum of the proper rotation signal; and (c) determining an instantaneous frequency estimate of the proper rotation signal by interpolating the proper rotation signal between the zero-crossing and the local extremum.
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20. A method of determining at least one instantaneous frequency estimate from a proper rotation signal, including the steps of:
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(a) inputing a proper rotation signal to a processor; (b) extracting an amplitude-normalized half wave from the proper rotation signal; and (c) determining an instantaneous frequency estimate of the proper rotation signal by applying an arcsine function to the amplitude-normalized half wave.
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Specification