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    Quantization in Matlab

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    This is what I have so far:
    EDU>> %Sampling, Quantizing, Coding
    EDU>> %Analog Signal
    EDU>> t= [0:0.025:1];
    EDU>> %Sampled Signal
    EDU>> x= 0.8*cos(2*pi*t)+0.15;
    EDU>> Ts=0.025; n=length(t);n=0:N-1;
    EDU>> xs = 0.8*cos(2*pi*n*Ts);
    EDU>> hold on
    EDU>> plot (t,x);
    EDU>> hold on
    EDU>> %Quantized Signal
    EDU>> Q=2;
    b.) The four level quantizer, (see Figure 1.2), corresponding to the 2 bit ADC is defined as:
    Ã?ºâË?â? ââ?°¤x(nTs)<(Ã?º+1)âË?â? ââ? 'x Ã?â??(nTs)= Ã?ºâË?â?  Ã?º= -2,-1,0,1
    Where x(nTs), found above, is the input and x Ã?â??(nTs) is the output of the quantizer. Let the quantization step be âË?â?  = 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 Ã?â??(nTs) = -2âË?â?  ââ? '10
    x Ã?â??(nTs) = -âË?â?  ââ? '11
    x Ã?â??(nTs) = 0âË?â?  ââ? '00
    x Ã?â??(nTs) = âË?â?  ââ? '01
    Obtain the digital signal corresponding to x(t).

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    Solution Preview

    figure;stem(t,x);title('Sampled Signal')

    q = quantizer('nearest',[4 ...

    Solution Summary

    This solution descrines the quantization of an analog signal using matlab.