Time-Synchronized FIR Filtering for Uneven Measurement Intervals
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Solution Overview
Problem
Traditional Finite Impulse Response (FIR) filters are not well-suited for time-synchronized systems where measurements are taken at times determined by stimuli, and existing filtering approaches are computationally inefficient for digital signal processors (DSPs).
Innovation Solution
A system implementing a Finite Impulse Response (FIR) filter within a Digital Signal Processor (DSP) that is time-synchronized, using a hanning windowed sinc filter with an integral impulse response approximated via splines or other methods, allowing for efficient filtering of time-stamped data.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional FIR filters are used for filtering measurements in time-synchronized systems, then linear phase filtering is achieved, but the filters are not suitable for measurements taken at times determined by stimuli and require even time intervals
Solution Approach 1:
The patent transforms the static, fixed-time-interval FIR filter into a dynamic filter that adapts to variable time intervals determined by stimuli. The filter coefficients and calculation methodology are made dynamic to accommodate measurements taken at non-uniform time points, enabling the filter to maintain reliability while adapting to stimulus-driven timing.
Solution Approach 2:
The patent changes the parameters of the FIR filter to work with variable time intervals. By modifying how the filter processes data when measurement times are determined by stimuli rather than fixed intervals, the filter maintains its linear phase properties while becoming adaptable to the time-synchronized system's operational requirements.
2Adaptability or versatility
If other filtering approaches are used for time-synchronized systems with stimulus-determined measurement times, then time adaptability is achieved, but computation times are too large for DSP implementation
Solution Approach 1:
The patent segments the filtering computation into efficient discrete steps that can be processed by a DSP. By breaking down the adaptive filtering process into manageable computational segments, the filter achieves time adaptability while maintaining computation times suitable for DSP implementation, avoiding the excessive computational burden of other approaches.
Solution Approach 2:
The patent replaces complex, computationally intensive filtering mechanisms with an optimized FIR filter implementation that uses efficient arithmetic operations suitable for DSP processors. This substitution maintains the necessary time adaptability while dramatically improving computational efficiency to meet DSP performance requirements.
3Reliability
If the number of FIR taps is increased to improve stop-band attenuation and reduce ripple, then filtering performance is improved, but the number of calculations and memory required increase
Solution Approach 1:
The patent applies partial action by using only the necessary number of FIR taps required to achieve adequate filtering performance for time-synchronized systems. Rather than excessively increasing the number of taps to maximize performance, the filter is optimized to use the minimum sufficient taps, thereby maintaining acceptable stop-band attenuation and ripple characteristics while reducing computational complexity and memory requirements.
Data Source
AI summary
A Finite Impulse Response (“FIR”) filter that uses an approximation of the time integral of the impulse response derived from data collected at non-uniform intervals and processes time-synchronized measurements taken at uneven intervals.