Question

To develop the time-domain description of SSB modulation, the required mathematical tool is known as

• A. Fourier transform
• B. Hilbert transform
• C. Discrete Cosine transform
• D. Sine transform

Hint:

Hilbert Transform provides a \(90^\circ\) phase shift and is extensively used in SSB generation.

Answer 1

The Correct Option is B

Concept: Single Sideband (SSB) modulation is generated using phase-shift methods. The mathematical tool used to obtain a \(90^\circ\) phase-shifted version of a signal is the Hilbert Transform.

Step 1: Recall SSB generation.
SSB signal can be written as \[ s(t)=m(t)\cos\omega_ct \pm \hat m(t)\sin\omega_ct \] where \[ \hat m(t) \] is the Hilbert Transform of \(m(t)\).

Step 2: Identify the transform.
Since SSB generation explicitly uses the Hilbert transformed signal, \[ \boxed{\text{Hilbert Transform}} \] is required.

Step 3: Final Answer.
\[ \boxed{\text{Correct Option (B)}} \]