On the use of the I<inf>0</inf>-sinh window for spectrum analysis

Abstract

Closed form expressions for main-lobe width, modified main-lobe width, and relative sidelobe amplitude are given for the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">I_{0}- \sinh</tex> window function. These formulas facilitate exploring the tradeoff between record length, spectral resolution, and leakage in digital spectrum analysis. An especially simple empirical approximation relating main-lobe width and relative sidelobe amplitude is given.