Oscillation Regulation via Amplitude Sampling Below Nyquist Rate
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Solution Overview
Problem
Existing methods for regulating excited oscillations in systems, such as those used in vehicle stability applications, require high sampling frequencies to prevent aliasing, leading to substantial computational load, chip surface area demand, and power consumption, which is inefficient and costly.
Innovation Solution
A method that records instantaneous oscillation values at a sampling frequency below twice the maximum system frequency, allowing for amplitude and frequency regulation to maintain the system in a resonance case, thereby reducing computational requirements and power consumption while ensuring system functionality, even if the Nyquist theorem is violated.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a high sampling frequency (greater than double the maximum frequency) is used to prevent aliasing, then measurement precision is improved, but computational outlay and power consumption increase substantially
Solution Approach 1:
The patent applies partial action by sampling only the amplitude information of the oscillation signal rather than the complete waveform. By using a sampling frequency below the Nyquist rate and only recording amplitude values (not full waveforms), the system achieves sufficient measurement precision for frequency and phase determination while dramatically reducing computational load and power consumption.
Solution Approach 2:
The patent extracts only the essential amplitude information from the oscillation signal, discarding redundant waveform details. By taking out merely the amplitude values at discrete sampling points and using them to determine frequency and phase through mathematical relationships, the system avoids the need for high-frequency sampling of the complete signal.
2Measurement precision
If a high sampling frequency is used to prevent aliasing, then measurement precision is improved, but chip surface area increases
Solution Approach 1:
The patent applies partial action by sampling only the amplitude information of the oscillation signal rather than the complete waveform. By using a sampling frequency below the Nyquist rate and only recording amplitude values (not full waveforms), the system achieves sufficient measurement precision for frequency and phase determination while dramatically reducing computational load and power consumption.
Solution Approach 2:
The patent extracts only the essential amplitude information from the oscillation signal, discarding redundant waveform details. By taking out merely the amplitude values at discrete sampling points and using them to determine frequency and phase through mathematical relationships, the system avoids the need for high-frequency sampling of the complete signal.
3Reliability
If a high sampling frequency is used to prevent aliasing, then reliability is improved, but computational outlay increases
Solution Approach 1:
The patent implements feedback by using the recorded amplitude information to continuously determine and adjust the frequency and phase of the control oscillation. The system measures the amplitude at discrete sampling points, processes this information to ascertain the actual frequency and phase relationship, and uses this feedback to regulate the excitation signal, ensuring reliable operation without high computational requirements.
Solution Approach 2:
The patent replaces the mechanical/mathematical requirement of high-frequency waveform sampling with a simplified amplitude-based measurement system. Instead of processing complete waveforms computationally intensive methods, the system substitutes this with simple amplitude recordings at lower sampling rates, combined with mathematical relationships to determine frequency and phase.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach significantly reduces computational load and power consumption while maintaining system stability and accuracy in regulating oscillations, allowing for efficient operation in resonance conditions with reduced chip surface area requirements.
Implementation Method 1
These typically have at least one part, a component, that is set into oscillation in response to excitation and that produces a Coriolis effect in response to a rotation of the sensor.
Implementation Method 2
Method for regulating an excited oscillation of a system to a resonance case of the system
Data Source
AI summary
In a method for regulating an excited oscillation of a system to a resonance case of the system, instantaneous values of the oscillating quantity are discretely recorded using one sampling frequency, and the sampling frequency is selected to be below twice a maximum frequency of the system. In addition, the following steps are provided: ascertaining an oscillation amplitude from the instantaneous values; regulating a control amplitude on the basis of the ascertained oscillation amplitude; specifying a control frequency on the basis of the control amplitude; generating a control oscillation in consideration of the control frequency; combining the oscillation amplitude and the control oscillation to form a control signal; and exciting the system in consideration of the control signal.