Reference no: EM13278361

Two Bit Analog to Digital Converter - MATLAB
Let x (t) = 0.8 cos(2*pi*t) + 0.15, 0≤ t ≤ 1, and zero otherwise, be the input to a two bit ADC converter.
a.) For a sampling period Ts = 0.025 sec; determine and plot using MATLAB the sampled signal:
x (nTs) = x(t)It = nTs

b.) The four level quantizer, (see Figure 1.2), corresponding to the 2 bit ADC is defined as:
κ?≤x(nTs)<(κ+1)?→x ^(nTs)= κ? κ= -2,-1,0,1
Where x(nTs), found above, is the input and x ^(nTs) is the output of the quantizer. Let the quantization step be ? = 0.5. Plot the input-output characterization of the quantizer, and find the quantized output for each of the sample values of the sampled signal x(nTs).

c.) To transform the quantized values into unique binary 2 bit values, consider the following code:
x ^(nTs) = -2? →10
x ^(nTs) = -? →11
x ^(nTs) = 0? →00
x ^(nTs) = ? →01
Obtain the digital signal corresponding to x(t).