1.

Any signal and its Hilbert transform are mutually orthogonal.(a) True(b) FalseThe question was posed to me by my college professor while I was bunking the class.My doubt stems from Spectrum of Multitone Signal topic in division Amplitude Modulation of Analog Communications

Answer»

Right CHOICE is (a) True

To ELABORATE: HILBERT Transform of any signal produces a signal which has same amplitude as that of the original signal but suffers a phase-shift of -90 DEGREE. Consider f(t) be any signal and fh(t) is it’s Hilbert transform.

If we integrate both of them under proper boundary conditions, we get 0 which shows that both are mutually PERPENDICULAR i.e.


Discussion

No Comment Found

Related InterviewSolutions