For sigma-delta over sampled A/D converters with high order feedback loop, stability becomes a significant consideration. An alternative approach referred to as MASH achieves high-order noise shaping with only first order feedback. The structure for first order sigma-delta noise shaping system is shown in the figure and analyzed in this problem. The effect of the quantizer is represented by the additive noise signal e(n). Assume that the input e(n) is a zero-mean, white, wide-sense stationary random process and has variances o, e(n) is uncorrelated with x(n). For the given system in the figure, the output y(n) has a component yx(n) due only to x(n) and a component ye(n) due only to e(n), i.e. y(n) = y.(n) + ye(n). a. Determine yx(n) in term of x(n) b. Using the relation between input and output power spectral density, determine Pye(o), the power spectral density of ye(n). x[n] 2-1 1-2-1 1 Quantizer e[n] e[n]