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has been cited by the following article:

• TITLE: A New Narrowband Phase Modulation Mathematical Identity

  AUTHORS: Shihadeh M. Saadeh

  KEYWORDS: Phase Modulation; Bessel Functions; Optical Communication

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.6, June 25, 2012

  ABSTRACT: A new mathematical identity is suggested to describe narrow band phase modulation and other similar physical problems instead of using the Bessel function. Bessel functions are extensively used in mathematical physics [1,2], electromagnetic wave propagation and scattering [3,4], and communication system theory [3,5,6]. Such phenomena must often be approximated by appropriate formulas since there is no closed form solution or expression, which usually leads to complex mathematical solutions [5,7]. Comparisons are made between the exact solution numerically calculated and graphed with the new mathematical identities’ prediction of phase modulation behavior. The proposed mathematical identity matches the results very well, leading to simpler analysis of such physical behavior.