Question: Consider the second-order SDM model shown in figure. (a) Determine the signal and noise system functions H s (z) and H n (z), respectively. (b)

Consider the second-order SDM model shown in figure.

(a) Determine the signal and noise system functions H_s(z) and H_n(z), respectively.

(b) Plot the magnitude response for the noise system function and compare it with the one for the first-order SDM. Can you explain the 6-dB difference from these curves?

(c) Show that the in-band quantization noise power ?²_n is given approximately by which implies a 15-dB increase for every doubling of the sampling frequency.

H(:) ein) x(n) din) dan) (a) 20? [27 B sin ( 27

H(:) ein) x(n) din) dan) (a) 20? [27 B sin ( 27 F, F, (b) 2B F,

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