Quantization error in A/D conversion of a sinusoidal signal?Let x_q (n) be the signal obtained by quantizing the signals x(n) = sin 2?f₀n.?The quantization error power P_q is defined by

The ?quantity? of the quantized signal can be measured by the signal-to=quantization noise ratio (SQNR) defined by SQNR = 10log_10?P_x/P_q?where P_x is the power of the unquantized signal x(n).

(a) For f₀ = 1/50 and N = 200, write a program to quantize the signal x(n), using truncation, to 64, 128, and 256 quantization levels. In each case plot the signals x(n), x_q(n), and e(n) and compute the corresponding SQNR.

(b) Repeat part (a) by using rounding instead of truncation.

(c) Comment on the result obtained in parts (a) and (b).

(d) Compare the experimentally measured SQNR with the theoretical SQNR predicted by formula (1.4.32) and comment on the differences and similarities.

N-I N-1 1 P4 E, (n) x(n)}