parzenpy 1.0.0

A package for applying smoothing to frequency spectra

parzenpy

A python library that perform Parzen spectral smoothing using numpy vectorized operations very efficiently.

Background

A Parzen window also known as a Kernel Density Estimation function which was developed by Emanuel Parzen (see reference)

E. Parzen, “Mathematical Considerations in the Estimation of Spectra”, Technometrics, Vol. 3, No. 2 (May, 1961), pp. 167- 190.

is a non-parametric estimation method that can apply smoothing by fitting a 4th order spline window to frequency spectra. In this case we apply the function to smooth Fourier Amptlitude Spectra (FAS).

Installation

parzenpy is available using pip and can be installed with:

pip install parzenpy

Usage

A user can smooth a seismic signal using a the function apply_smoothing using a bandwidth of 1.5. Larger values will return greater smoothing

import parzenpy smooth_fas = parzenpy.apply_smooth(freq, fft, fc, b=1.5, windowed_flag=True)

Citation

Francisco-Javier Ornelas. (2024). fjornelas/parzenpy: latest(concept). Zenodo. (waiting on DOI)