A new window based on exponential function

Abstract

In this paper a new class of adjustable windows based on the exponential function is proposed. The proposed window has been derived in the same way of the derivation of Kaiser window, but it has the advantage of having no power series expansion in its time domain function. The spectrum design equations for the proposed window are established, and the spectral comparisons are performed with Kaiser and ultraspherical windows. Comparison with Kaiser window shows that the proposed window provides better sidelobe rolloff ratio, which is important for some applications, but worse ripple ratio for the same window length and mainlobe width. As for the comparison with ultraspherical window, for the same window length, mainlobe width and sidelobe roll-off ratio the proposed window presents better ripple ratio for the narrower mainlobe width and larger sidelobe roll-off ratio, but worse ripple ratio for the wider mainlobe width and smaller roll-off ratio.