Multiple choice

A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels.

If the input probability density function is divided into three regions as shown in figure, the value of a in the figure is

  1. $\dfrac{1}{3}$
  2. $\dfrac{2}{3}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{1}{4}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

As the area under pdf curve must be unity, all three regions are equivaprobable. Thus area under each region must be $\dfrac{1}{3}$ $2a \times \dfrac{1}{4} = \dfrac{1}{3} \rightarrow a = \dfrac{2}{3}$

 

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