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(Solved): 3. (30 Pts) Suppose That The Received Signal Power In The DB Scale Is A Uniform Random Variable On T ...


3. (30 pts) Suppose that the received signal power in the dB scale is a uniform random variable on the interval [10, 20) dbW.
3. (30 pts) Suppose that the received signal power in the dB scale is a uniform random variable on the interval [10, 20) dbW. Find the distribution of the signal power in the linear scale. Hint: In this question, you have a random variable, say X, that is uniform on [10, 20). You will need to calculate the function Y = 10%/10 of this random variable. The easiest way to do this is first to find the CDF of Y , i.e. you should find P(Y <y) = P(10%/10 <y) = P(X < 10 log10 y) = ... Taking the derivative of the resulting expression with respect to y will give you the PDF fy(y) of Y.

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