Consider a zero-mean Gaussian random variable X with variance o. This random variable is passed through...
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Consider a zero-mean Gaussian random variable X with variance o. This random variable is passed through a system whose input-output relation is given by Y = g(X). Find the pdf of the random variable at the output, Y, in each of the following cases. Hint: In some cases the output pdf will contain dirac delta functions. • full-wave rectifier: g(X) = |X| • square-law device: g(X) = X² limiting amplifier: g(X) = -b, b, X, X-b X≥b X ≤b Consider a zero-mean Gaussian random variable X with variance o. This random variable is passed through a system whose input-output relation is given by Y = g(X). Find the pdf of the random variable at the output, Y, in each of the following cases. Hint: In some cases the output pdf will contain dirac delta functions. • full-wave rectifier: g(X) = |X| • square-law device: g(X) = X² limiting amplifier: g(X) = -b, b, X, X-b X≥b X ≤b
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Related Book For
Advanced Accounting
ISBN: 978-1934319307
2nd edition
Authors: Susan S. Hamlen, Ronald J. Huefner, James A. Largay III
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