Rational Polynomial Windows as an Alternative for Kaiser Window
AbstractIn 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).
Authors retain copyright and grant the journal the right of the first publication with the paper simultaneously licensed under the Creative Commons Attribution 4.0 (CC BY 4.0) licence.
Authors are allowed to enter into separate, additional contractual arrangements for the non-exclusive distribution of the paper published in the journal with an acknowledgement of the initial publication in the journal.
Copyright terms are indicated in the Republic of Lithuania Law on Copyright and Related Rights, Articles 4-37.