Fast-Decaying Sine Ramp Windows for Signals With Limited Frequency Resolution
Jan-Philipp Kitzig, Gerd Bumiller
Abstract
Windowing digital signals is essential to digital signal processing. The matter is a complicated one, choosing a window function is always a trade-off between certain undesired effects on one hand and important benefits on the other. In this paper, a new window class of windows called Sine Ramp Windows is presented, which is very fast-decaying with regard to the frequency resolution. These new windows improve the attenuation of far-distant spectral leakage while maintaining an acceptable minimal signal duration, which is beneficial e.g. in the harmonic analysis of power systems in transient conditions. This window class is then extensively benchmarked against the state of science using common figures of merit proving its advantages, which are then shown in two application examples.