Question: The input to a quantizer is a random signal having an amplitude probability density function The signal is to be quantized using four quantizing levels

The input to a quantizer is a random signal having an amplitude probability density function х>0 -ах fx(x) = х <0 0,

The signal is to be quantized using four quantizing levels x_i as shown in Figure 12.44. Determine the values x_i, i = 1, 2, 3, in terms of Î± so that the entropy at the quantizer output is maximized.

Figure 12.44 X1 X2 Хз

>0 - fx(x) =

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