Rational Polynomial Windows as an Alternative for Kaiser Window

Abstract

In the paper a new family of energetically optimized rational polynomial windows useful for signal processing applications is presented. A typical approximation of the energetically optimal spheroidal window is well-known Kaiser window which can be calculated using the Bessel function. In practical implementations this function should be expanded into polynomial series of a specified order affecting the values of the energetic criterion being the ratio of the side lobes’ energy to the energy of the main lobe of the window’s spectrum. The extension of the previously proposed polynomial windows family into rational polynomial windows presented in this paper leads to good approximation of Kaiser window with seriously reduced computational complexity in comparison to the expansion into the polynomial series. The window’s value for each sample can be efficiently computed using Horner’s scheme reducing the number of arithmetic operations. Ill. 2, bibl. 11, tabl. 3 (in English; abstracts in English and Lithuanian).

DOI: http://dx.doi.org/10.5755/j01.eee.123.7.2381