Applications of Hilbert Transform
Q. Hilbert transform may be used in- Published on 15 Oct 15a. Generation of SSB signals
b. Representation of band pass signals
c. Designing of minimum phase type filters
d. All of the above
ANSWER: All of the above
Hilbert transform may be obtained by first taking the Fourier Transform of the signal g(t), multiplying it by jsgn(f), then taking the inverse fourier transform and therefore obtaining g(t). jsgn(f) is j for the positive frequency f, and therefore the Hilbert Transform shifts the signal by -900 for a linear system whose input is g(t) and output obtained is g(t). Hilbert transform may be used in generation of SSB signals, representation of band pass signals, and designing of minimum phase type filters.
