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Blackman's Law of Limiting Factor

An autocorrel...

Question

An autocorrelation function of a stationary ergodic random process is shown below:

Then

the value of AC power of the signal is

10

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the value of DC power of the signal is

25

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the meann value

E [X]

of the random process is

5

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the value of total power of the signal is

15

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Solution

The correct option is D the value of total power of the signal is $15$
$σ_{x}^{2} = E [X^{2}] - {E [X]}^{2}$
$E [X^{2} (t)] = R_{X} (0) = 15$ and $E [E (t)] = 5$
$∴ σ_{x}^{2} = 15 - 5 = 10$

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