ECE5884 Wireless Communications – Quiz 2 1 August 2022
1. (MATLAB) randn returns a random scalar drawn from the standard nor-
mal/Gaussian distribution, i.e., mean μ = 0 and standard deviation σ = 1 de-
noted as X ∼ N (0, 1). By using randn, you first generate Gaussian random √
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variable with mean μ = 0.5 and variance σ = 0.75, i.e., X ∼ N (0.5,
Then, you verify following analytical expressions of PDF and CDF of X by using simulations. You will plot the analytical expression and the simulated curve in the same graph. Please submit MATLAB code too!
1 − (x−μ)2
PDF: fX(x)=√ e 2σ2 ;−∞