Question

The Fourier transform W(f) of a time domain signal w(t) is given by: W(f) = 5.87...

The Fourier transform W(f) of a time domain signal w(t) is given by:

W(f) = 5.87 exp[ -( 0.047 f )2 ]

Find the imaginary part of the Fourier transform of the shifted signal w(t - 0.50) at the frequency 3.24 Hz.

The correct answer is 3.93

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