A signal given by x(t) = 4 sinc(at) is fed to a Hilbert transformer to obtain a signal y(t) as shown:

The sinc signal can be represented as \(sinc~x=\frac{\sin \pi x}{\pi x}\). If the energy of the output signal y(t) is 8 Joules. Then the value of ‘a’ is ____.

Enter numerical value using the virtual keypad. Round off where necessary.

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