Topic: Signals and Systems
The match filter response $h(t)$ for a given input signal $S(t)$ sampled at $t=T$ is
- A. $h(t) = S(T-t)$
- B. $h(t) = S(t-T)$
- C. $h(t) = S(-t)$
- D. $h(t) = S(t)$
Answer: A. $h(t) = S(T-t)$
Explanation: By definition, the impulse response of a matched filter designed to maximize the signal-to-noise ratio at sampling time $t=T$ is the time-reversed and shifted version of the input signal: $h(t) = S(T-t)$.