# hw2 - 6.003 Homework 2 Due at the beginning of recitation...

This preview shows pages 1–2. Sign up to view the full content.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 6.003 Homework 2 Due at the beginning of recitation on Wednesday, September 23, 2009 . Problems 1. Characterizing block diagrams Consider the system defined by the following block diagram: Delay Delay Delay + + + 3 2 − 1 2 X Y a. Determine the system functional H = Y X . b. Determine the poles of the system. c. Determine the unit-sample response of the system. Express your answer as a sum of fundamental modes. 2. Finding a system a. Determine the difference equation and block diagram representations for a system whose output is 10 , 1 , 1 , 1 , 1 ,... when the input is 1 , 1 , 1 , 1 , 1 ,... . b. Determine the difference equation and block diagram representations for a system whose output is 1 , 1 , 1 , 1 , 1 ,... when the input is 10 , 1 , 1 , 1 , 1 ,... . c. Compare the difference equations in parts a and b. Compare the block diagrams in parts a and b. 3. Oscillations Let y [ n ] represent a discrete cosine wave, y [ n ] = cos Ω n. Determine the coefficients of a difference equation for y of the form y [ n ] = a 1 y [ n − 1] + a 2 y [ n − 2] + ··· ....
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

hw2 - 6.003 Homework 2 Due at the beginning of recitation...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online