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A stationary Gaussian process X (t ) with mean x and variance 2 x is passed through two linear filter with impulse responses h1(t )

A stationary Gaussian process X (t ) with mean x and variance 2 x is passed through two linear filter with impulse responses h1(t ) and h2(t ), yielding processes Y (t ) and Z (t ), as shown here:

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h, (t ) Y(t) X(t) hz(t) Z(t)

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