Wireless Fading channel : Clarke's Model

What does isotropic antenna gain pattern mean?

a: The power gain term at the antenna DOES NOT depend on the angle of arrival of the signal Explanation

Explanation

b: The power gain term at the antenna DOES NOT depend on the phase of the received signal Explanation

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c: Both of the above Explanation

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d: None of the above Explanation

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If a channel has a complex Gaussian gain term, i.e., the received signal is y = Hx + w, and all the entries of the H matrix are complex Gaussian, then select the correct option

a: The magnitude of the received signal gain is Rayleigh distributed and the phase is Gaussian distributed Explanation

Explanation

b: The magnitude of the received signal gain is Chi-square distributed with no. of degrees of freedom equal to the rank of the H matrix and the phase is uniformly distributed in [0, 2π] Explanation

Explanation

c: The magnitude of the received signal gain is Rayleigh distributed and the phase is uniformly distributed in [0, 2π] Explanation

Explanation

d: The magnitude of the received signal gain is Chi-square distributed with no. of degrees of freedom equal to the rank of the H matrix and the phase is Gaussian distributed Explanation

Explanation

What is the relation between the auto-correlation of a random signal and its power spectral density?

a: The auto-correlation is the Fourier transform of the power spectral density Explanation

Explanation

b: The power spectral density is the Fourier transform of the auto-correlation Explanation

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c: They are not related in the case of random signals Explanation

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d: The power spectral density is the Fourier transform of the auto-correlation if and only if the process is Gaussian Explanation

Explanation