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

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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, and all 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

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b: The magnitude of the received signal gain is Chi-square distributed with degrees of freedom equal to the rank of the H matrix and the phase is uniformly distributed in [0, 2π] Explanation

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

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d: The magnitude of the received signal gain is Chi-square distributed with degrees of freedom equal to the rank of the H matrix and the phase is Gaussian distributed Explanation

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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

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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

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In Clarke's model, what is assumed about the angles of arrival of multipath components?

a: They arrive from only one direction Explanation

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b: They are uniformly distributed over [0, 2π] Explanation

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c: They follow a Gaussian distribution Explanation

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d: They depend on the Doppler frequency Explanation

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According to Clarke's model, the Doppler power spectral density of the fading process has which shape?

a: Rectangular Explanation

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b: U-shaped Explanation

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c: Triangular Explanation

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d: Gaussian Explanation

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In Clarke’s model, the maximum Doppler shift f_d depends on:

a: Carrier frequency and mobile speed Explanation

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b: Transmit power and mobile speed Explanation

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c: Carrier frequency and antenna gain Explanation

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d: Mobile speed only Explanation

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The time autocorrelation function of the fading envelope in Clarke’s model is:

a: A sinc function Explanation

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b: A cosine function Explanation

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c: A Bessel function of the first kind, zero order Explanation

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d: An exponential decay Explanation

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In Clarke's model, an isotropic scattering environment results in:

a: Rayleigh fading Explanation

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b: Rician fading Explanation

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c: Log-normal fading Explanation

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d: Nakagami fading Explanation

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