An adjustable-width window with good dynamic range

TL;DR

This paper introduces a new variable-width window function that offers adjustable sensitivity and dynamic range, outperforming existing windows in sidelobe suppression at certain bandwidth settings.

Contribution

The paper presents a novel adjustable-width window that can tune its ENBW for optimal sidelobe performance compared to traditional fixed and variable windows.

Findings

The new window can achieve lower sidelobes than existing windows at ENBW below 3.

It allows access to any ENBW value through a single width parameter.

The window demonstrates superior dynamic range and sensitivity in Fourier analysis.

Abstract

A new variable-width window is presented and compared with several other windows, both of variable and fixed widths. The comparison focuses on sensitivity and dynamic range. The equivalent noise bandwidth or ENBW (or rather, its reciprocal) is used as a proxy for the first; maximum sidelobe level and high-frequency roll-off in the Fourier transform, for the second. The new window can access any value of ENBW by appropriate choice of the width parameter. At any given value of ENBW below about 3, a setting can be found at which the sidelobes of the window are lower than those of any other in the moderate frequency regime below about 100 cycles.