A New Narrowband Phase Modulation Mathematical Identity

DOI: 10.4236/jmp.2012.36069   PDF   HTML   XML   3,359 Downloads   6,288 Views  


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.

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S. Saadeh, "A New Narrowband Phase Modulation Mathematical Identity," Journal of Modern Physics, Vol. 3 No. 6, 2012, pp. 511-515. doi: 10.4236/jmp.2012.36069.

Conflicts of Interest

The authors declare no conflicts of interest.


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