E4702 Practice Final

E4702 Practice Final - ELEN E4702 PRACTICE FINAL PROBLEM 1(20 Points The stationary process X(t is passed through each one of the four linear time

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
ELEN E4702 PRACTICE FINAL PROBLEM 1. (20 Points) The stationary process X(t) is passed through each one of the four linear time invariant (LTI) systems shown below and the output process is denoted by Y(t). Find the output autocorrelation function and cross-correlation function between the input and the output under each of the following cases: 1. A delay system with delay 2. A system with (Is this really LTI? Can you still compute the auto-correlation and cross- correlation functions?) 3. A system with where 4. A system described the differential equation: The Fourier transform relationships needed are given below: Time Domain Frequency Domain
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
PROBLEM 2. (25 points) Three messages are to be transmitted over an AWGN channel with a noise power spectral density . The messages are: where , , & are zero otherwise. 1. What is the dimensionality of the signal space? 2. Find the appropriate basis of the signal space. 3.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 08/05/2008 for the course ELEN E4702 taught by Professor Lazano during the Summer '08 term at Columbia.

Page1 / 3

E4702 Practice Final - ELEN E4702 PRACTICE FINAL PROBLEM 1(20 Points The stationary process X(t is passed through each one of the four linear time

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online