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Exponential Window Family

Author(s): Kemal Avci | Arif Nacaroglu

Journal: Signal & Image Processing
ISSN 2229-3922

Volume: 4;
Issue: 4;
Start page: 1;
Date: 2013;
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Keywords: Window function | Exponential window | Cosh Window | Kaiser window | Ultraspherical window

In this paper we propose a new class of 2-parameter adjustable windows, namely Exponential window,based on the exponential function [1,2]. The Exponential window is derived in the same way as Kaiserwindow was derived, but our proposed window is more computationally efficient because in its timedomain function it has no power series expansion. First, the spectrum design equations for the Exponentialwindow are established, and the spectral comparisons are performed with Cosh, Kaiser and ultrasphericalwindows. The proposed window is compared with Cosh and Kaiser windows, and the results show that forthe same window length and mainlobe width the Exponential window provides better sidelobe roll-off ratiocharacteristic, which may be important for some applications, but worse ripple ratio. The secondcomparison is performed with ultraspherical window for the same window length, mainlobe width andsidelobe roll-off ratio and the results demonstrate that the Exponential window exhibits better ripple ratiofor the narrower mainlobe width and larger sidelobe roll-off ratio, but worse ripple ratio for the widermainlobe width and smaller sidelobe roll-off ratio.

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