Homework_4

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

This preview shows page 1. Sign up to view the full content.

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,
This is the end of the preview. Sign up to access the rest of the document.

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 –...
View Full Document

## This note was uploaded on 10/12/2011 for the course ECE 600 taught by Professor Staff during the Spring '08 term at Purdue.

Ask a homework question - tutors are online