Homework_4

Homework_4 - X , to do this? 5. Papoulis 4-13. 6. Papoulis...

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ECE600 Random Variables and Waveforms Mark R. Bell Spring 20 1 1 MSEE 336 Homework Assignment #4 Should be completed by Session 13 Reading Assignment: All of Chapter 4, and Sections 5-1 through 5-2 of Papoulis. 1. Papoulis 4-1. 2. Papoulis 4-2. 3. Papoulis 4-11. 4. Consider the result of the previous problem. Now suppose you have a random number generator that generates random variables with pdf f X ( x )=1 (0 , 1) ( x ) and suppose you want to generate a random variable Z with pdf f Z ( z ). How would you process the output of the uniform random number generator,
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Unformatted text preview: X , to do this? 5. Papoulis 4-13. 6. Papoulis 4-16. 7. Papoulis 4-17. 8. Papoulis 4-19. 9. Papoulis 4-21. 10. Show that the Gaussian pdf f X ( x ) = 1 √ 2 πσ exp ± − ( x − µ ) 2 2 σ 2 ² satisfies the condition I = ³ ∞ −∞ f X ( x ) dx = 1 . Hint: It might be easier to find I 2 and then determine I . 11. Let X have exponential distribution f X ( x ) = 1 µ e − x/µ 1 [0 , ∞ ) ( x ) . Find the conditional density f X ( x | µ < X ≤ 2 µ ). – 1 –...
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This note was uploaded on 10/12/2011 for the course ECE 600 taught by Professor Staff during the Spring '08 term at Purdue.

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