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Quiz1_sol - 2 1 2 1 t by t ay t bx t ax t t y = = where y 1...

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EE3210 Signal and Systems Quiz 1 (Solution) Semester A, 2009/10 1. (a) Not periodic. (b) Periodic, fundamental period = 14. 2. { } [ ] 2 / ) ( ) sin( ) ( ) sin( ) ( t u t t u t t x Ev = . -10 -8 -6 -4 -2 0 2 4 6 8 10 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 3. (a) Invertible. Inverse system: y [ n ] = x [2– n ] (b) Not invertible. Example: both ] 1 [ ] [ + n n δ δ and ] [ n δ give the same output ] [ n δ . 4. The energy of the signal is given by [ ] 25 ] 4 [ 16 ] [ 9 ] 4 [ 4 ] [ 3 2 2 2 = + = + = −∞ = −∞ = n n n n n n E δ δ δ δ
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