Modification of Cosh Window Family

Abstract

In this study, 2-parameter cosh window is modified to improve its spectral characteristic in terms of the ripple ratio by proposing a new additional parameter. It is observed that an increase in the new parameter results in wider mainlobe width and smaller ripple ratio. By choosing the suitable combinations of the two adjustable parameters for the proposed modified window, the optimum windows that yield the minimum ripple ratio for N=51 and N=101 are found. The simulation results with the comparisons to Kaiser and cosh windows for a wide range of the normalized width demonstrate that with the proposed additional parameter an efficient improvement in the spectral characteristic of cosh window in terms of the ripple ratio is obtained. Also, two specific comparison examples are given to show the performance of the proposed modified window. In the first example, it is concluded that the proposed window performs the same ripple ratio and mainlobe width by using less window coefficients compared to Kaiser and cosh windows. The second example demonstrates that using the suitable adjustable parameters, the proposed modified cosh window can perform good results in terms of the ripple ratio and contrast ratio compared to the windows in the literature.