Grouped B-spline windows for power spectral density estimation

The power spectral density of a signal can be estimated most accurately by using a window that can attain a narrower main lobe width and a higher decay rate. Conventional windows are able to control these characteristics by only one parameter, so there is a trade-off problem. To reduce the effect of spectral leakage, a window function can be used whose amplitude tapers smoothly and gradually toward zero at both ends. The spectral methods are accurate for smooth functions and we propose using grouped B-spline windows with three control parameters for power spectral density estimation and analyze its characteristics.