Mathieu Windows for Signal Processing
Sign Up to like & getrecommendations! Published in 2019 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-018-0989-z
Abstract: Two new windows for signal processing are introduced in this work. The windows are based on radial Mathieu functions and their performance is compared with well-known ones such as Kaiser, cosh, exponential, Hamming, prolate, and… read more here.
Keywords: processing mathieu; mathieu; windows signal; signal processing ... See more keywords
Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.07.029
Abstract: We consider a generalized Mathieu series where the summands of the classical Mathieu series are multiplied by powers of a complex number. The Mellin transform of this series can be expressed by the polylogarithm or… read more here.
Keywords: asymptotic expansion; trigonometric mathieu; mathieu; mathieu series ... See more keywords
Femtosecond laser filamentation in air with zero-order pseudo Mathieu beam of different lobes
Sign Up to like & getrecommendations! Published in 2017 at "Optics Communications"
DOI: 10.1016/j.optcom.2017.02.063
Abstract: Abstract The spatiotemporal dynamics of femtosecond filamentation were investigated numerically to evaluate various intensity distributions of zero-order Mathieu beams without the phase alteration for adjacent lobes. The side filaments are formed due to constructive interferences… read more here.
Keywords: mathieu; filamentation; zero order; femtosecond laser ... See more keywords