Complementary Filter for Transducer Resonance Distortion
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Solution Overview
Problem
Resonances within measurement systems, particularly in transducers, cause distortion of measurement signals at frequencies near the resonant frequency, making it difficult to accurately measure high-frequency physical parameters.
Innovation Solution
A complementary filter is applied to the measurement signal to reduce distortion to less than ±1 dB for frequencies up to 60% or greater of the resonant frequency, using a compensation circuit that accounts for the transducer's resonant frequency and quality factor, which can be calculated and implemented either analogously or digitally.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a transducer is designed to measure low frequency parameters, then it can easily achieve accurate measurements, but it begins to distort signals at high frequencies due to internal resonances
Solution Approach 1:
The patent applies a complementary filter that utilizes the known resonant frequency and quality factor of the transducer to create a compensation signal. This filter transforms the harmful resonance effect into a beneficial correction by adding a compensating signal that cancels out the distortion, converting the resonance problem into a solution that extends the usable frequency range.
Solution Approach 2:
The patent changes the electrical parameters of the measurement system by applying a frequency-dependent compensation signal. By adjusting the filter parameters (resonant frequency and quality factor) to match the transducer's characteristics, the system modifies the signal processing parameters to counteract the resonance effects and extend the flat frequency response range.
2Speed
If the measurement frequency approaches the resonant frequency of the transducer, then higher frequency measurement capability is achieved, but signal distortion increases significantly
Solution Approach 1:
The complementary filter converts the harmful distortion that occurs near resonant frequency into a beneficial correction. By designing the filter with parameters that match the transducer's resonance characteristics, the system transforms the problem of signal distortion into a solution where the filter actively compensates for and cancels the distortion, enabling accurate measurements up to 60% or more of the resonant frequency.
Solution Approach 2:
The patent implements a feedback mechanism where the known resonant characteristics of the transducer are used to generate a compensation signal. The filter parameters are determined based on the transducer's quality factor and resonant frequency, creating a closed-loop correction system that continuously compensates for resonance effects across the frequency range.
3Productivity
If no compensation is applied to the transducer output, then the system remains simple, but the usable frequency range is limited to below 20% of the resonant frequency
Solution Approach 1:
The patent introduces a complementary filter as an intermediary component between the transducer and the measurement system. This filter acts as a mediator that processes the transducer output signal by applying a compensation based on the known resonant characteristics, thereby extending the usable frequency range without significantly complicating the overall system architecture.
Solution Approach 2:
The patent changes the electrical parameters of the signal processing path by applying a frequency-dependent compensation filter. By adjusting the filter parameters to match the transducer's resonant frequency and quality factor, the system extends its operational frequency range from below 20% to 60% or more of the resonant frequency while maintaining measurement accuracy.
Data Source
AI summary
Certain implementations of the disclosed technology may include systems and methods for extending a frequency response of a transducer. A method is provided that can include receiving a measurement signal from a transducer, wherein the measurement signal includes distortion due to a resonant frequency of the transducer. The method includes applying a complementary filter to the measurement signal to produce a compensated signal, wherein applying the complementary filter reduces the distortion to less than about +/−1 dB for frequencies ranging from about zero to about 60% or greater of the resonant frequency. The method further includes outputting the compensated signal.