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Microsoft patents method to tune resonators using complex math

Microsoft describes a way to find the exact frequency at which a resonator vibrates most strongly. The method involves changing the input signal's frequency and using mathematical derivatives to pinpoint the resonance point.

Why it mattersThis is a technical improvement for calibrating electronic components, likely used in sensors or filters, but it does not describe a new consumer product.

In the filing’s own words

A method for exciting a resonator at an estimated resonance frequency of the resonator comprises: (a) varying a frequency of an input signal applied to the resonator while recording an output signal from the resonator; (b) for each of a series of frequency values of the input signal, computing noise-filtered, complex first and second derivatives of a ratio of the output signal to the input signal; (c) for each of the series of frequency values of the input signal, computing a real part of a dot product of the complex first and second derivatives as vectors projected onto a complex plane; and (d) exciting the resonator an excitation frequency where the real part vanishes.

What exactly they claim (claim 1)

1. A method for exciting a resonator at an estimated resonance frequency of the resonator, the method comprising: varying a frequency of an input signal applied to the resonator while recording an output signal from the resonator; for each of a series of frequency values of the input signal, computing noise-filtered, complex first and second derivatives of a ratio of the output signal to the input signal; for each of the series of frequency values of the input signal, computing a real part of a dot product of the complex first and second derivatives as vectors projected onto a complex plane; and exciting the resonator an excitation frequency where the real part of the dot product vanishes.

Facts

Company
Microsoft (Microsoft Technology Licensing, LLC)
Official title
RESONATOR TUNING
Publication number
US20260269803A1
Application number
19010873
Filed
Jan 6, 2025
Published
Sep 10, 2026
Inventors
3
Claims
20

Classified under

H03H 9/02086 Electricity & electronicsG06N 10/40 Physics & computingH03H 9/02818 Electricity & electronicsH03H 2009/02165 Electricity & electronics

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Summaries are simplified from the filing’s own abstract and first claim. A patent filing is not a product announcement.
Patent data and drawings: U.S. Patent and Trademark Office (USPTO). Nebula is not affiliated with or endorsed by the USPTO.