Accelerated Curve Fitting Approach for Denoised NQR Signal Parameter Estimation

Abstract

Signal parameters such as amplitude, frequency, decay constant, and phase play an important role in identifying the signal’s origin in many real-life applications. Standard gradient-based curve-fitting approaches are computationally complex to implement on hardware because of large matrix multiplication and partial derivatives. The current work demonstrates a feasible approach to extract parameters from exponential decay Nuclear Quadrupole Resonance (NQR) signals using derivative-free optimization approaches on a PYNQ-Z2 FPGA board. The hardware implementation results indicate 0.12 seconds is required to extract the amplitude, frequency, decay constant, and phase from 5x10-3 sec signals with the residual error in the order of 10-5.