A siren is emitting a constant frequency in a noisy room, ä(t) = cos(15t). There is a microphone in the room measuring t

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A Siren Is Emitting A Constant Frequency In A Noisy Room A T Cos 15t There Is A Microphone In The Room Measuring T 1 (35.44 KiB) Viewed 22 times

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.