# Applications of Hilbert Transform

**Q19. Hilbert transform may be used in**

**Options: **

Generation of SSB signals

Representation of band pass signals

Designing of minimum phase type filters

All of the above

Correct Answer: All of the above

**Explanation:**

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.