Consider independent input samples with the following probability density function. ´Ag + 40 0

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Author:Robert L. Boylestad
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Suppose a9 = 9, a10 = 10

Consider independent input samples with the following probability density function.
(Ag + 40
0 <x< 1,
200
а10 + 30
1< x< 2,
200
f(x) = { 70 – a10
2 < x< 3,
200
60 – ag
3 < x < 4,
200
0,
else,
A quantizer with the following input-output characteristic is used.
sa,
x < 2,
XQ
13,
2< x.
Determine the signal power.
Determine the optimal value for a that minimizes the quantization noise
а.
b.
power.
Transcribed Image Text:Consider independent input samples with the following probability density function. (Ag + 40 0 <x< 1, 200 а10 + 30 1< x< 2, 200 f(x) = { 70 – a10 2 < x< 3, 200 60 – ag 3 < x < 4, 200 0, else, A quantizer with the following input-output characteristic is used. sa, x < 2, XQ 13, 2< x. Determine the signal power. Determine the optimal value for a that minimizes the quantization noise а. b. power.
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