Measurement of the total harmonic distortion in quantized sinusoids let x(n) be a periodic sinusoidal signal with frequency f0 = k/N, that is, x(n) = sin 2π f0n.

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

(b) For f0 = 1/50 compute the THD of the quantized signals xq(n) obtained by using b = 4, 6, 8,abd 16 bits.

(c) Repeat part (b) for f0 = 1/100.

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