Question: Consider a quantizer that is designed to minimize the mean square quantization error. That is, the quantization levels, yi, are chosen according to the conditional

Consider a quantizer that is designed to minimize the mean square quantization error. That is, the quantization levels, yi, are chosen according to the conditional mean criterion and the bin edges, xi, are chosen according to the midpoint criterion. Show that the distortion is given by

And therefore the SQNR can be written as

d = E[(X-q(X) )2] = ELY2]-.ppT , i -1 -1 2 ELr []

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