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# assignmentP1 - CS559 Spring 2008 Project 1"Theoretical...

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Sheet1 Page 1 // CS559 - Spring 2008 - Project 1 "Theoretical Background" Assignment f = [1 2 1 3 1 4 1 5 1 6 2 5 3 4 3] g = 1/5 [1 1 1 1 1] h = 1/6 [1 2 3] 1. A f*g = 1/5 [1 3 4 7 8 11 10 14 12 17 15 19 17 20 17 15 10 7 3] B f*h = 1/6 [1 4 7 11 10 15 12 19 14 23 17 27 19 25 20 18 9] C f*g*h = 1/30 [1 3 4 7 8 11 10 14 12 17 15 19 17 20 17 15 10 7 3] * [1 2 3] = 1/30 [1 5 13 24 34 48 56 67 70 83 85 100 100 111 108 109 91 72 47 27 9] D f*g using zero-padding = 1/5 [4 7 8 11 10 14 12 17 15 19 17 20 17 15 10] E f*g using reflection = 1/5 [7 9 8 11 10 14 12 17 15 19 17 20 17 19 17] F f*g using kernel renormalization = 1/5 [20/3 35/4 8 11 10 14 12 17 15 19 17 20 17 75/4 50/3] 2. A t = 1.5 value of the signal is 2 t = 2 value of the signal is 1 t = 3.25 value of the signal is 3 B t = 1.5 value of the signal is 1.5 t = 2 value of the signal is 1 t = 3.25 value of the signal is 2.5 C t = 1.5 value of the signal is 1.5 t = 2 value of the signal is 1.5 t = 3.25 value of the signal is 2 D t = 1.5 value of the signal is 1.625 t = 2 value of the signal is 1.75

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assignmentP1 - CS559 Spring 2008 Project 1"Theoretical...

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