20105ee211A_1_HW2Solutions

# 20105ee211A_1_HW2Solutions - EE 211A Fall Quarter 2010...

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

1 EE 211A Digital Image Processing I Fall Quarter, 2010 Handout 10 Instructor: John Villasenor Homework 2 Solutions Problems: 1. Textbook Problem 2.4a, b, and f. Let ) , ( 1 n m y and ) , ( 2 n m y be the outputs corresponding to the inputs ) , ( 1 n m x and ). , ( 2 n m x (a) 9 ) , ( 3 ) , ( + = n m x n m y ) , ( 9 ) , ( 3 )] , ( [ 1 1 1 n m y n m x n m x T = + = ) , ( 9 ) , ( 3 )] , ( [ 2 2 2 n m y n m x n m x T = + = ) , ( 9 )) , ( ) , ( ( 3 ] [ 3 2 1 2 1 n m y n m bx n m ax bx ax T = + + = + Since 2 1 3 by ay y + , the system is non-linear. ) , ( 9 ) , ( 3 )] , ( [ 4 1 1 n m y n n m m x n n m m x T = + - - = - - Since ) , ( ) , ( 1 4 n n m m y n m y - - = , the system is shift-invariant. IR = T 9 ) , ( 3 )] , ( [ + - - = - - b n a m b n a m δ The system is IIR, since the IR is non-zero for all m , n . System (a) is non-linear, shift-invariant, and IIR. (b) ). , ( ) , ( 2 2 n m x n m n m y = ) , ( ) , ( )] , ( [ 1 1 2 2 1 n m y n m x n m n m x T = = ) , ( ) , (

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.

{[ snackBarMessage ]}

### Page1 / 3

20105ee211A_1_HW2Solutions - EE 211A Fall Quarter 2010...

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

View Full Document
Ask a homework question - tutors are online