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EE 102 Stuff

# EE 102 Stuff - 1 EE102 Spring 2009-10 Systems and Signals...

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1 EE102 Spring 2009-10 Lee Systems and Signals Homework #1 Solutions 1.Even part : Odd part : 2. (a) (b) 2 2 1 t x 1 2 1 -1 3 4 5 6 1 2 1 -1 -2 -1 0.5 2 1 -1 -2 - 0.5 1.5 0.5 2 1 -1 -2

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2 3.                           dt t x dt t x dt t x dt t x dt t x dt t x t x dt t x t x t x t x dt t x dt t x t x t x t x t x t x t x o e o e 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 1 2 1 2 2 4 1 4 1 2 , 2 4. (a)   0 0 x T x (from periodicity)   0 0 x (from oddness) 0 0 T x (b) Any set of values 0 T and 1 T that have an irrational ratio will result in an aperiodic sum.
3 -4 -3 -2 -1 0 0.2 0.4 0.6 0.8 1 1.2 -4 -3 -2 -1 1 2 3 4 0 50 100 150 5. (a) 2 2 4 0 1 2 2 t

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