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arXiv · 2012.05937

A Recursive Method for Real-Time Waveform Fitting with Background Noise Rejection

A. P. Jezghani·L. J. Broussard·C. B. Crawford
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Abstract

We present here a technique for developing a high-throughput algorithm to fit a combination of template pulse shapes while simultaneously subtracting parameterized background noise. By convolving the psuedoinverse of the least-squares fit design matrix along a regularly sampled waveform trace, the time evolution of the fit parameters for each basis function can be determined in real-time. We approximate these sliding linear fit response functions using piecewise polynomials, and develop an FPGA-friendly algorithm to be implemented in high sample-rate data acquisition systems. This is a robust universal filter that compares well to common filters optimized for energy calibration/resolution, as well as filters optimized for timing performance, even when significant noise components are present.

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A. P. Jezghani, L. J. Broussard, C. B. Crawford. 2020-12-10. A Recursive Method for Real-Time Waveform Fitting with Background Noise Rejection. https://arxiv.org/abs/2012.05937

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