211A_1_homework2

211A_1_homework2 - equation ) , ( ) 1 , 1 ( ) , 1 ( ) , ( n...

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1 EE 211A Digital Image Processing I Fall Quarter, 2010 Handout 4 Instructor: John Villasenor Homework 2 Due: Thursday, 7 October 2010 Reading: Textbook pp. 80-97. Textbook problems: 4.3 (The reconstruction filter should cut off at 0.5 0.5 , x y ± ± , not x 5 . 0 , y 5 . 0 as given in the book. Assume that frequencies exactly at the cutoff frequency are passed with no attenuation by the filter.), 4.9 1. Textbook problem 2.4 a, b, and f. When determining if the system is IIR or FIR, assume that the “impulse response” refers to the response of the system to input ), , ( b n a m - - δ even if the system fails to be linear or shift-invariant. 2. Consider the (unstable) two-dimensional digital filter described by the difference
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Unformatted text preview: equation ) , ( ) 1 , 1 ( ) , 1 ( ) , ( n m x n m y n m y n m y +-+ +-= (a) Make a sketch showing the region of support of the impulse response. (b) Give, for , m , 2 n the output of this system if the input is ). , ( n m Be sure to impose boundary conditions which ensure that the system is LSI. (c) What is , y R the region of support of the output sequence if the input sequence has a region of support consisting of the first quadrant? (d) What is , y R the region of support of the output sequence if the input sequence has a region of support consisting of the second quadrant?...
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This note was uploaded on 04/18/2011 for the course EE 211A taught by Professor Villasenor during the Fall '10 term at UCLA.

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