A New Narrowband Phase Modulation Mathematical Identity

• 作者: Shihadeh M. Saadeh
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Phase MODULATION BESSEL FUNCTIONS Optical Communication
• 年，卷（期）: 2012,（6）
• 页码范围: 511-515
• 页数: 5页
• 分类号: O1

摘要

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.