frequency modulation by bessel
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Can somebody help me this question?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1006385/image.png)
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Walter Roberson
am 21 Mai 2022
Given a signal how do you find the side signals and the amplitudes of those?
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Saarthak Gupta
am 18 Dez. 2023
Hi Huijia,
I understand that you want to calculate the amplitude of the first two side frequencies of a signal, given its modulation index (beta).
For a sinusoidal baseband signal with frequency fm, the transmitted signal, y(t), can be represented as:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1571362/image.png)
The modulation index is defined as:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1571367/image.png)
The resulting frequency spectrum is a set of cosines weighted by Bessel functions of β.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1571372/image.png)
where k is the sideband number.
The first two sidebands will occur at k = 1 and -1, and the amplitude of both sidebands will be J1(β).
You can use the “besselj” function in MATLAB to calculate the same:
besselj(1,modIdx)
Please refer to the following MATLAB documentation for further reference:
Hope this helps!
Best regards,
Saarthak
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