Repeat the preceding problem assuming that the input to the quantizer has the Rayleigh probability density function 

Data From Problem 12.11

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 x_i as shown in Figure 12.44. Determine the values x_i, i = 1, 2, 3, in terms of α so that the entropy at the quantizer output is maximized.

Figure 12.44

Transcribed Image Text:

Хе-* Pра, х20 -x² /2a² fx(x) = 0, х <0 х>0 -ах fx(x) = 0, х <0