20111ee114_1_hw4_ - For each function make a sketch showing...

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EE114, Winter 2011 Problem Set 4 ________________________________________________________________________ Problem Set #4 Due: February 2, 2011 1) Let f(x,y) be a function below with value 1 in the shaded region and 0 otherwise. Give sketches showing (a) f(x,-y) (b) f(-x,-y) 2) Find the 2D Fourier Transform of the two-dimensional function ( ( ( cy sinc b ax rect y x f + = , x y
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EE114, Winter 2011 Problem Set 4 ________________________________________________________________________ 3) Consider the functions below which are nonzero only within indicated regions.
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Unformatted text preview: For each function, make a sketch showing the boundaries of non-zero regions of the self-convolution of these functions (i.e. each function should be convolved with itself). Be sure to place your sketches on a set of marked axis such that relevant dimensions and positions of features of your answer are clearly indicated. 4) Find the total area under the function ( 29 2 sin ) ( = x x x f x y x y -d d d/2 d delta function...
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