211A_1_final2008

211A_1_final2008 - EE211A Digital Image Processing I Fall Quarter 2008 1 Final Exam 1 2D DFT(20 points The above 128x128 image consists of two

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Unformatted text preview: EE211A Digital Image Processing I Fall Quarter, 2008 1 Final Exam 1. 2D DFT (20 points) The above 128x128 image consists of two equal amplitude sinusoids added to a gray background. The intensity of the background before the addition of the sinusoids was 0.5. 0 represents black and 1 is white. Find the location of the non- zero elements in the two-dimensional DFT of the above image. 2. SVD Transform (20 points) For this problem consider the 4 × 4 matrix U given as follows: 1 2 1 2 1 2 U = Perform the SVD decomposition on the matrix U . For your answer, specify (as numbers, not as expressions or equations) all of the elements of each of the three matrices 1/ 2 , , and T Ψ Λ Φ such that 1/ 2 T U = ΨΛ Φ . EE211A Digital Image Processing I Fall Quarter, 2008 2 3. KL Transform (20 points) Consider a random vector u that has three possible realizations as below....
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This note was uploaded on 12/27/2011 for the course EE211A 211A taught by Professor Villasenor during the Spring '11 term at UCLA.

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211A_1_final2008 - EE211A Digital Image Processing I Fall Quarter 2008 1 Final Exam 1 2D DFT(20 points The above 128x128 image consists of two

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