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A WSS random process having mean m is applied as input to LTI system having impulse response  . The mean of the output is same as the mean of the input. The value of a is _____
  • a)
    0.5
  • b)
    2
  • c)
    1
  • d)
    0.25
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A WSS random process having mean m is applied as input to LTI system h...
For a random process with mean μx applied to a system with impulse response h(t), the mean of the output random process generated will be:

Calculation:
E[X(t)] = m
E[Y(t)] = m H(0)

Now
m = m/a
∴ a = 1
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