Topic: Communication Systems
Determine the matched filter response $h(t)$ for signal $s(t)$ shown below:
(The signal $s(t)$ is a rectangular pulse of duration T starting from $t=0$).
- A. Rectangular pulse starting at -T
- B. Rectangular pulse starting at 0
- C. Negative rectangular pulse
- D. Rectangular pulse from t=-T to 0
Answer: D. Rectangular pulse from t=-T to 0
Explanation: For a real-valued signal, the impulse response of the matched filter is the time-reversed version of the input signal, i.e., $h(t) = s(-t)$ (for non-causal representation). Thus, a rectangular pulse from 0 to T becomes a rectangular pulse from -T to 0.