Window Function for Chirped Pulse Spectroscopy with Enhanced Signal-to-noise Ratio and Lineshape Correction

TL;DR

This paper introduces the Voigt-1D window function for chirped pulse spectroscopy, which improves lineshape correction and doubles the signal-to-noise ratio compared to un-windowed spectra.

Contribution

The Voigt-1D window function is specifically designed for chirped pulse spectroscopy, enabling enhanced SnR and accurate Voigt lineshape correction with tunable parameters.

Findings

100% SnR enhancement on average

Effective Voigt lineshape correction

Comparison shows superior performance to Kaiser-Bessel window

Abstract

In chirped pulse experiments, magnitude Fourier transform is used to generate frequency domain spectra. The application of window function as a tool for lineshape correction and signal-to-noise ratio (SnR) enhancement is rarely discussed in chirped spectroscopy, with the only exception of using Kaiser-Bessel window and trivial rectangular window. We present a specific window function, called "Voigt-1D" window, designed for chirped pulse spectroscopy. The window function corrects the magnitude Fourier-transform spectra to Voigt lineshape, and offers wide tunability to control the SnR and lineshape of the final spectral lines. We derived the mathematical properties of the window function, and evaluated the performance of the window function in comparison to the Kaiser-Bessel window on experimental and simulated data sets. Our result shows that, compared with un-windowed spectra, the Voigt-1D window is able to produce 100 % SnR enhancement on average.