Discussion
A matched filter maximises
Answer: A
The matched filter is the one whose impulse response is the time-reverse of the expected pulse, and it maximises the signal-to-noise ratio at the instant the output is sampled, which is exactly what minimises the probability of a detection error. It does not widen the available bandwidth; if anything it restricts the noise bandwidth to what the signal needs. Phase linearity is a channel property. And passing more harmonics would admit more noise for no gain in signal.
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