Measurement of the total harmonic distortion in quantized sinusoids Let x(n) be a period...

Measurement of the total harmonic distortion in quantized sinusoids Let x(n) be a periodic sinusoidal signal with frequency f_o = k / N , that is,

(a) Write a computer program that quantizes the signal x(n) into b bits or equivalently into L = 2^b levels by using rounding. The resulting signal is denoted by x_q (n) .

(b) For f_o = 1/50 compute the THD of the quantized signals x_q (n) obtained by using b = 4, 6, 8, and 16 bits.

(c) Repeat part (b) for f_o = 1/100.

(d) Comment on the results obtained in parts (b) and (c).