Polynomial Coefficient Signal Transfer for Automation Delay
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Solution Overview
Problem
Existing data transmission methods in automation systems suffer from delays and temporal uncertainty, leading to outdated and erroneous sample values at the receiving end, especially when using extrapolation for compensation, which requires knowledge of the data transfer link properties and struggles with jitter effects.
Innovation Solution
The method involves representing sampled signals, such as position or speed information, as temporally continuous signals using polynomial coefficients throughout the data transfer chain, allowing for immediate display and calculation at the receiving end without temporal delay, enabling flexible sampling frequencies and improved accuracy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If digital parallel or series link is used to transfer data, then data transfer capacity is sufficient, but delay and temporal uncertainty occur in the data transfer
Solution Approach 1:
The patent applies preliminary action by calculating polynomial coefficients at the sending end before data transfer, and using these pre-calculated coefficients to reconstruct the continuous-time signal at the receiving end. This allows the system to compensate for transfer delays in advance rather than reacting to them after they occur, thereby maintaining timing accuracy despite the physical delay in data transmission.
Solution Approach 2:
The patent introduces polynomial coefficients as an intermediary representation between the discrete samples and the continuous-time signal. Instead of directly transferring raw sample data that suffers from delay and jitter, the system transfers polynomial coefficients that serve as a mathematical model, allowing the receiving end to reconstruct the signal with accurate timing information.
2Measurement precision
If extrapolation is used to compensate for delay, then temporal uncertainty is reduced, but system complexity increases and knowledge of link properties is required
Solution Approach 1:
The patent inverts the traditional approach by moving the polynomial calculation from the receiving end to the sending end. Instead of having the receiving system perform complex extrapolation operations, the sending system pre-calculates the polynomial coefficients and transfers them along with the samples. This inversion simplifies the receiving system while maintaining high timing accuracy.
3Reliability
If each sample is transferred individually, then signal fidelity is maintained, but high data transfer capacity is required
Solution Approach 1:
The patent creates a mathematical copy of the continuous-time signal in the form of polynomial coefficients. Instead of transferring every individual sample point, the system transfers a compact polynomial representation that can be used to generate any sample value within the interval. This copying approach maintains signal fidelity while dramatically reducing the data transfer burden.
Data Source
AI summary
The invention relates to a method and device for transferring signal data from a sender to one or more receivers. The invention includes receiving a quantity as a function of time, arranging the quantity into a first polynomial to obtain values for polynomial coefficients of a first continuous signal, and transferring the values of the polynomial coefficients of the first continuous signal via a first data transfer link to one or more receivers.