Example 2.6.1 Determine the Hilbert transform of the signal x(t) = 2sinc(2t) Solution.
{"Image DocumentName": "Example 2.6.1Determine the Hilbert transform of the signal x(t) = 2sinc(2t) Solution.", "Image ImageDescription": "We use the frequency-domain approach . Using the scaling property of the Fourier transform, we have. In this expression, the first term contains all the negative frequencies and the second term contains all the positive frequencies. To obtain the frequency-domain representation of the Hilbert transform of x(t), we use the relation = -jsgn(f)F[x(t)], which results in. Taking the inverse Fourier transform, we have.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}