fourier transform of sin(A * cos(2*pi*f*t))?

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What is Fourier transform of sin(A * cos(2*pi*f*t)), where A and f are constant?
 

Look for spectra of Frequency Modulated (FM) signals in any text about (analog) communications theory.
It's a discrete spectrum (a sum of Dirac deltas), whose coefficients are Bessel functions of the first kind.
Regards

Z
 

I disagree with above post by zorro.

If the frequency of sinusoid is constant as mentioned by OP, the fourier transform is just an impulse at frequency '\[{f }_{ 0}\]'
Answer would be

(\[{ A}^{ 2}\]/4) (\[\delta\](f \[\pm\] \[{f }_{0 }\]))
 

7h3 l33+ P$yCh0 said:
If the frequency of sinusoid is constant as mentioned by OP, ...
Click to expand...

NO! The function is sin(A * cos(2*pi*f*t)) .

It's not A*cos(2*pi*f0*t) , whose FT is A/2 * [\[\delta\](f+f0)+\[\delta\](f-f0)]

Z
 
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