Relatively Prime Waveform Sampling for High Resolution
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Solution Overview
Problem
Current waveform sampling devices face limitations in achieving high effective sampling rates and resolution, often requiring significant time and higher costs with higher sampling rates, and existing methods do not efficiently improve temporal resolution using digital storage oscilloscopes with random interleaving techniques.
Innovation Solution
The implementation of relatively prime sampling techniques, where the sample number is relatively prime with respect to the number of cycles of the waveform, allows for improved sampling rates and resolution by interleaving samples taken at a specific sampling rate, using devices such as sound cards, ADCs, and digital storage oscilloscopes, and calculating adjusted frequencies to enhance waveform sampling.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the sampling rate is increased to improve effective sampling rate and resolution, then the sampling quality improves, but the cost increases
Solution Approach 1:
The patent segments the sampling process into multiple passes, where samples are taken at different time intervals and then interleaved. Instead of requiring a single high-speed sampler, the system divides the sampling task across multiple lower-speed sampling operations, achieving high effective sampling rate through computational interleaving of the segmented sample sets.
Solution Approach 2:
The patent introduces an intermediary computational process that takes samples from a lower-speed sampler and processes them through interleaving algorithms to produce high-resolution waveform data. This intermediary software layer acts as a mediator between the affordable low-speed hardware and the desired high-speed performance.
2Measurement precision
If random interleaving sampling techniques are used to improve temporal resolution, then the temporal resolution improves, but the time required to work effectively increases significantly
Solution Approach 1:
The patent employs periodic sampling at regular intervals rather than random interleaving, creating predictable sample patterns that can be efficiently processed. By taking samples at consistent time periods and using deterministic interleaving algorithms, the system achieves high temporal resolution without the computational overhead and extended processing time associated with random sampling methods.
3Speed
If a higher speed sampler is used to improve sampling rate, then the sampling rate improves, but the cost increases
Solution Approach 1:
The patent changes the parameters of the sampling process by using multiple lower-speed sampling passes with varying time intervals rather than a single high-speed pass. By adjusting the sampling interval and using computational interleaving to combine the results, the system achieves high effective sampling rates using affordable lower-speed hardware.
Data Source
AI summary
Various embodiments provide methods, apparatuses, and systems for sampling a waveform using relatively prime sampling methods. A waveform with a first plurality of cycles and a first frequency may be sampled with a waveform sampling device. Sampling the waveform may include sampling the waveform at a sampling rate of the waveform sampling device. Sampling the waveform may include taking a sample number of samples of the waveform where the sample number may be relatively prime with respect to the number of cycles of the waveform. The sample number of samples of the waveform may be interleaved with a controller.