h04 - January 26, 2011 09:36 1 Homework #4, EECS 556, W11....

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Unformatted text preview: January 26, 2011 09:36 1 Homework #4, EECS 556, W11. Due Fri. Feb. 4 , by 1:00PM Notes The grader may not return this HW before Exam 1, so you may wish to keep a copy of your answers. Skills and Concepts discrete-space signals and systems filter design DFS, DFT Problems 1. [10] Describe in a couple sentences two possible image processing projects that might interest you. 2. [10] This problem is an elementary preview of the principles underlying transform coding with truncation. A typical digital image x [ n,m ] has a spectrum that decays with increasing spatial frequency. As a concrete model, suppose that | X ( X , Y ) | = braceleftBigg A e- 2 X + 2 Y , 2 X + 2 Y 2 , otherwise . Suppose that we truncate the tails of this spectrum by as follows: Y ( X , Y ) = braceleftbigg X ( X , Y ) , radicalbig 2 X + 2 Y / 10 , otherwise , and then reconstruct the signal y [ n,m ] by an inverse 2D DSFT. (a) [10] For = 5 , evaluate the normalized root mean-squared (RMS) error radicalbigg P n =- P m =- | y [ n,m ]- x [ n,m ] | 2 P n =- P m =- | x [ n,m ] | 2 ....
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h04 - January 26, 2011 09:36 1 Homework #4, EECS 556, W11....

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