Von Mises Tapering: A New Circular Windowing

TL;DR

This paper introduces a novel circular windowing function based on the von Mises distribution, offering an alternative to classical windows for spectral analysis and FIR filter design, with demonstrated spectral properties.

Contribution

A new circular window derived from the von Mises distribution is proposed, expanding the toolkit for spectral analysis and filter design with unique spectral characteristics.

Findings

The von Mises window has distinct spectral properties compared to classical windows.

It performs well in spectral analysis and FIR filter design.

Spectral comparisons show advantages in certain applications.

Abstract

Discrete and continuous standard windowing are revisited and a a new taper is introduced, which is derived from the normal circular distribution by von Mises. Both the continuous-time and the discrete-time windows are considered, and their spectra obtained. A brief comparison with further classical window families is performed in terms of their properties in the spectral domain. These windows can be used in spectral analysis, and in particular, in the design of FIR (finite impulse response) filters as an alternative to the Kaiser window