09-01-2020 дата публикации
Номер: US20200008743A1
Принадлежит:
A neuromodulator accurately measures—in real time and over a range of frequencies—the instantaneous phase and amplitude of a natural signal. For example, the natural signal may be an electrical signal produced by neural tissue, or a motion such as a muscle tremor. The neuromodulator generates signals that are precisely timed relative to the phase of the natural signal. For example, the neuromodulator may generate an exogenous signal that is phase-locked with the natural signal. Or, for example, the neuromodulator may generate an exogenous signal that comprises short bursts which occur only during a narrow phase range of each period of an oscillating natural signal. The neuromodulator corrects distortions due to Gibbs phenomenon. In some cases, the neuromodulator does so by applying a causal filter to a discrete Fourier transform in the frequency domain, prior to taking an inverse discrete Fourier transform. 1. An apparatus comprising:(a) one or more sensors that are configured to measure a physiological signal; (i) to calculate a discrete signal that consists of samples of the physiological signal,', '(ii) to calculate a second signal, which second signal is a discrete Fourier transform of the discrete signal,', '(iii) to calculate a smoothed signal, by performing calculations that include (A) applying a causal filter to the second signal, which causal filter deforms a front-segment but not an end-segment of the second signal in such a way that the start point of the smoothed signal is equal in value to the endpoint of the smoothed signal, and (B) removing negative frequency components,', '(iv) to calculate an analytic signal, which analytic signal is equal to an inverse discrete Fourier transform of the smoothed signal,', '(v) to calculate, based on the analytic signal, instantaneous phase of the physiological signal, and', '(vi) to output instructions, based on the instantaneous phase; and, '(b) one or more computers that are programmed'}(c) one or more ...
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