Quantization error in AM conversion of a sinusoidal signal Let xq (n) be the signal obta...

Quantization error in AM conversion of a sinusoidal signal Let x_q (n) be the signal obtained by quantizing the signal . The quantization error power P_q is defined by '

The "quality" of the quantized signal can be measured by the signal-to-quantization noise ratio (SQNR) defined by

where P_x is the power of the unquantized signal x(n).

(a) For f_o = 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 results obtained in parts (a) and (b).

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