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Full-carrier AM at unity index radiates \( 1500 \ \mathrm{W} \). An SSB transmitter carrying the same message needs

  • A.750 W
  • B.1000 W
  • C.250 W
  • D.500 W

Answer: C

At unity index the carrier is two thirds of the total and each sideband a sixth:

\[ \begin{aligned} P_c &= 1000 \ \mathrm{W} \\ P_{sb} &= \frac{1000}{4} = 250 \ \mathrm{W} \end{aligned} \]

so 250 watts in the single sideband SSB transmits, a saving of eighty-three per cent. 500 W is both sidebands. 750 W and 1000 W correspond to keeping more of the redundant power. The arithmetic is worth doing once carefully, because the ratio is the standard argument for the scheme.

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