Phase Tracking Oscillatory Signal Apparatus
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing technologies face challenges in accurately tracking the phase of oscillatory signals, particularly at higher frequencies, which is crucial for real-time phase-locked stimulation in biological systems.
Innovation Solution
An apparatus for phase tracking an oscillatory signal is developed, comprising an input unit and a phase estimation unit that generates reference oscillatory signals, iteratively varies weights to match the input signal, and provides real-time phase estimates. This apparatus is capable of effective phase tracking even at transient and higher frequency oscillations, implemented at low cost without requiring high power electronics.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional phase tracking methods are used for higher frequency oscillations, then measurement accuracy deteriorates, but computational complexity increases
Solution Approach 1:
The phase tracking problem is segmented into two independent estimation components (amplitude and phase) that can be solved separately using simplified equations, avoiding the need for complex simultaneous solutions while maintaining accuracy for high-frequency oscillations
Solution Approach 2:
The method transforms the original complex phase tracking equations into simplified forms by changing the parameter representation, using iterative updating of amplitude and phase parameters that reduces computational burden while improving accuracy for transient high-frequency signals
2Speed
If real-time phase tracking is implemented for transient oscillations, then response speed improves, but measurement precision deteriorates
Solution Approach 1:
The method employs iterative feedback updating where amplitude and phase estimates are continuously refined using the latest signal measurements, allowing the system to maintain high precision while responding rapidly to transient oscillations without requiring complex filtering
Solution Approach 2:
The tracking system dynamically adapts to transient oscillations by allowing the amplitude and phase parameters to update iteratively with each measurement cycle, enabling accurate tracking of non-stationary high-frequency signals that traditional static methods cannot capture
Data Source
AI summary
Apparatus and methods for phase tracking an oscillatory signal are provided. In one arrangement, an input signal is received. First and second reference oscillatory signals are received at the frequency of a target frequency component of the input signal. The first and second reference oscillatory signals are phase shifted relative to each other. Weights of a weighted sum of the first and second reference oscillatory signals are iteratively varied to match the weighted sum to the input signal. The weights of the matched weighted sum are used to provide real time estimates of the phase of the target frequency component of the input signal.