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spherical bessel function arise in the solution of spherical schrodinger wave equation. in solving the problem of quantum mechanics involving spherical symmetry, like spherical potential well, the solution that is the wave function is spherical bessel function

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Mathematical expression for side band amplitudes in FM signal?

In frequency modulation (FM), the sideband amplitudes can be expressed using Bessel functions. For an FM signal with a modulation index ( \beta ) (the ratio of the frequency deviation to the modulation frequency), the amplitudes of the sidebands are given by ( J_n(\beta) ), where ( J_n ) is the Bessel function of the first kind of order ( n ). The sideband amplitudes corresponding to the carrier frequency will have values of ( J_n(\beta) ) for ( n = 0, \pm 1, \pm 2, \ldots ). Thus, the total signal can be represented as a sum of these sidebands, modulated around the carrier frequency.


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