Question

A sinusoidal signal g(t), with an amplitude of 3.25 volts, is sampled at 100 samples each period, then applied to a uniform midtread quantizer whose output takes on the values 0,±1, ±2, ±3 volts. What is the quantization daracteristic u = g(m)? 1. Use Matlab to: (1) plot the analog signal: (2) plot the resulting sampled signal: (3) plot the resulting quantizer output signal for one complete cycle of the analog signal 2. Repeat this evaluation for the case when the quantizer is of the midrise type whose output takes on the values ±0.5, ±1.5, ±2.5 and 3.5 volts. Please include your Matlab program in the appendix

Answer 1

w-2*pi; WS 2*pi*50; d 6; teta0: A 3.25,; T = 1/f; dt -T/100; dtl 1(ws/ (2*pi)); x1A*sin (w*t1+teta); subplot (2,1,1); hold or stem (tl,x1); title('The sampled signal'); xlabel) ylabel'amplitude) grid on; hold on sinad xl; mmax-max (abs (signal)) delta 2*max) /Mi kmax M/2; for h=1: length (signal) for k-0:1: kmax-1) if (( (k*delta)<abs (signal i)))&&(abs (signal (i))<((k+1)*delta)) if (signal )>0) nl i)-(0.5+k) *delta; elseif(signal(i) <0) nl i)-(-0.5-k) *delta; elseif (signal (i)0) end end end end subplot (2,1,2);

stem (tl,nl) title'original signal'); abel ( ' ' ) ylabell'amplitude') grid on: hold on The sampled signal -3 original sigpal -1 -3