filters – Hilbert transform of the pulse – Signal Processing Stack Exchange

filters – Hilbert transform of the pulse – Signal Processing Stack Exchange

Can anybody help me with the Hilbert transform of the following pulse:
$$
p(t) = \frac{8B\rho \ cos(2\pi Bt+2\pi B\rho t)+\frac{sin(2\pi Bt-2\pi B\rho t)}{t}}{\pi\sqrt{2B}(1-64(B \rho t)^2)}
$$

I tried by convolution of the above signal with $h(t) = 1/\pi t$ but I am not able to simplify it.
Can anyone suggest an approach?

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