Discussion
In a PM system, what does doubling the modulator sensitivity achieve?
Answer: A
Sensitivity and message amplitude multiply to give the index, so doubling either one doubles the index. The bandwidth grows but by less than a factor of two, because Carson's expression carries a unity term alongside the index. Halving the bandwidth would require the index to fall. And leaving the index unchanged would make the sensitivity meaningless. Distinguishing what scales exactly from what scales approximately is worth doing explicitly in every bandwidth question.
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