Consider the quadrature-modulated processes X(t) and X(t) that are respectively related to a weakly stationary process...
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Consider the quadrature-modulated processes X₁(t) and X₂(t) that are respectively related to a weakly stationary process X(t) as X₁ (t) = X(t) cos(2π ft+0) X₂ (t) = X(t) sin(27 ft + 0) is uniformly distributed over the interval [0,2π] and is Where the random variable independent with X(t). (a) Derive the cross-correlation function of X₁(t) and X₂(t): R₁₂ (7) and R₂(7). (b) What is the correlation of X₁(t) and X₂(u) at the same time, i.e. t=u? Consider the quadrature-modulated processes X₁(t) and X₂(t) that are respectively related to a weakly stationary process X(t) as X₁ (t) = X(t) cos(2π ft+0) X₂ (t) = X(t) sin(27 ft + 0) is uniformly distributed over the interval [0,2π] and is Where the random variable independent with X(t). (a) Derive the cross-correlation function of X₁(t) and X₂(t): R₁₂ (7) and R₂(7). (b) What is the correlation of X₁(t) and X₂(u) at the same time, i.e. t=u?
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Related Book For
Principles of Communications Systems, Modulation and Noise
ISBN: 978-8126556793
7th edition
Authors: Rodger E. Ziemer, William H. Tranter
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