A digitizer sampling at 4 kHz captures 16 samples of a 1-kHz sinusoidal signal corrupted by noise. An FFT analysis reveals the following spectral amplitudes:
(a) What is the total RMS level of the noise?
(b) Determine the signal-to-noise ratio of the channel. (c) What is the root spectral density of the noise over the 2-kHz Nyquist interval