ece2521_hw3

# ece2521_hw3 - p V ( α ) (here α is just the dummy...

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

ECE 2521 - Analysis of Stochastic Processes Homework Set 3 Due: Thursday, September 26, 2009 Suggested Problems: 1. Kay, Problem 5.14. 2. Kay, Problem 5.20. 3. Kay, Problem 10.28. Required Problems: 1. Kay, Problem 5.5. 2. Kay, Problem 5.9. 3. Kay, Problem 5.21 4. Kay, Problem 10.37. 5. Kay, Problem 10.44. 6. Kay, Problem 10.50. 7. The IV curve for a diode is governed by the equation I = I 0 e qV kT - 1 · . At room temperature, q kT = 40 volt - 1 . A typical value for I 0 is 100 nA. Plugging in these values, I = 10 - 7 e 40 V - 1 · = g ( V ) . (a) Let V be a random variable with arbitrary PDF
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: p V ( α ) (here α is just the dummy argument given in Volts which parameterizes the density function). Find the PDF p I ( β ) for the current I ( β has the same units as I , Amps). (b) Now suppose that V ∼ U (0 , . 5). Determine p I ( β ), and plot this PDF using MATLAB. (c) Finally, suppose that I ∼ U (0 , 1). Find a density function for V that will give rise to this uniform density. Plot the resulting PDF using MATLAB. (d) Verify that your answer to part (c) is a valid PDF....
View Full Document

## This note was uploaded on 10/01/2009 for the course ECE 2521 taught by Professor Jacobs during the Fall '09 term at Pittsburgh.

Ask a homework question - tutors are online