Multiple choice

An input to a 6-level quantizer has the probability density function f(x) as shown in the figure. Decision boundaries of the quantizer are chosen so as to maximize the entropy of the quantizer output. It is given that 3 consecutive decision boundaries are -1, 0 and 1.

The values of a and b are

  1. a = $\dfrac{1}{6}$and b = $\dfrac{1}{12}$
  2. a = $\dfrac{1}{5}$and b = $\dfrac{3}{40}$
  3. a = $\dfrac{1}{4}$and b = $\dfrac{1}{16}$
  4. a = $\dfrac{1}{3}$and b = $\dfrac{1}{24}$
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