Discussion
A speech signal occupying \( 300 \ \mathrm{Hz} \) to \( 3.4 \ \mathrm{kHz} \) amplitude modulates a carrier. The transmitted bandwidth is about
Answer: A
Bandwidth is twice the highest message frequency:
\[ B = 2 \times 3.4 = 6.8 \ \mathrm{kHz} \]
so 6.8 kHz, which is why AM broadcast channels are spaced at nine or ten kilohertz. 3.4 kHz is the message's own upper limit. 3.1 kHz is the message bandwidth, from 300 Hz to 3.4 kHz, which is not what sets the transmitted width because the sidebands are measured from the carrier. 6.2 kHz doubles the message bandwidth instead of the highest frequency, a subtle and common slip.
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