Consider a discrete-time, analog source with memory, i.e. U1 U2 ......are dependent rvs. Assume that each Uk is uniformly distributed between 0 and 1, but that U2
(a) Find the 1-bit (M = 2) scalar quantizer that minimizes the MSE.
(b) Find the MSE for the quantizer that you have found in part (a).
(c) Find the 1-bit per symbol (M = 4) 2D vector quantizer that minimizes the MSE.
(d) Plot the 2D regions and representation points for both your scalar quantizer in part (a) and your vector quantizer in part (c).