A siren is emitting a constant frequency in a noisy room, ä(t) = cos(15t). There is a microphone in the room measuring t
Posted: Mon May 02, 2022 2:45 pm
A siren is emitting a constant frequency in a noisy room, ä(t) = cos(15t). There is a microphone in the room measuring the signal, c(t), plus the background noise denoted as the signal, e(t). Let the noise signal be g(t) = x(t) +e(t). The microphone signal is connected to an A/D converter which samples the signal at a rate of 45 rad/sec. You take 244 samples from the A/D converter and calculate the DFT. Recall that a(t) = cos(Not) = ] (evrot + e-slot) What integer index, k, of the DFT, X[k], corresponds to the frequency closest to the complex componente-ilot present in the input signal? Provide your answer as an integer value.