1. The minimum channel Bandwidth is used by which modulation technique?A. VSBB. DSB-SCC. FMD. SSB-SC

Break Down the Problem

1. Identify modulation techniques listed in the question.
2. Determine the minimum channel bandwidth required by each modulation technique.

Relevant Concepts

1. VSB (Vestigial Sideband): Typically requires bandwidth slightly less than double the message bandwidth.
2. DSB-SC (Double Sideband Suppressed Carrier): Requires a bandwidth equal to double the message bandwidth.
3. FM (Frequency Modulation): Bandwidth depends on the modulation index; usually higher than the message bandwidth according to Carson's Rule.
4. SSB-SC (Single Sideband Suppressed Carrier): Requires the minimum bandwidth of the message signal, which is equal to the bandwidth of the original message.

Analysis and Detail

1. Calculating Bandwidths:
   • VSB: $B_{VSB} \approx 1.5 \times B_m$
   • DSB-SC: $B_{DSB-SC} = 2 \times B_m$
   • FM: $B_{FM} \text{ varies based on modulation index}$
   • SSB-SC: $B_{SSB-SC} = B_m$

Verify and Summarize

• Upon analyzing the required bandwidths:
  • VSB: More than original bandwidth
  • DSB-SC: Twice the original bandwidth
  • FM: Typically large bandwidth
  • SSB-SC: Equals original bandwidth

Final Answer

The minimum channel bandwidth is used by the modulation technique D. SSB-SC (Single Sideband Suppressed Carrier). This technique is optimal as it effectively halves the bandwidth usage compared to other full carrier methods.