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# 2_hwk2 - (b Give for m ≤ 2 ≤ n the output of this...

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1 EE 211A Digital Image Processing I Fall Quarter, 2011 Handout 4 Instructor: John Villasenor Homework 2 Due: Thursday, 6 October 2011 Reading: Textbook pp. 80-97. 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 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.
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Unformatted text preview: (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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