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221_2008_fall_MT-1

# 221_2008_fall_MT-1 - × 3=6 3 Evaluate the following(a R...

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North South University ETE-221/CEG-383 Sec. 1 Fall 2008, Mid term-1 Marks-24 Time- 75min Answer all of the following. 1. Sketch the following functions: (a) x ( t ) = 2 u ( t + 2) + r ( t - 2), (b) x ( t ) = r ( t + 1) - r ( t ) + r ( t - 1) - 2 r ( t - 2) (c) x ( t ) = rect ( t 2 a ) e - | t | a 2 × 3=6 2. Identify whether the following signals are power or energy signals ( or none). Provide arguments in support of your answer. (a) x ( t ) = u ( sin 2 t ) (b) x ( t ) = sin 2 ( t ) (c) x ( t ) = 1 t 2 + a
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Unformatted text preview: × 3=6 3. Evaluate the following: (a) R ∞-∞ ( t-3) δ (6 t-4) dt (b) R 5 1 . 5 ( e-t 2 + sin (5 t )) δ ( t 2-3 t + 2) dt (c) R ∞-∞ e-cos ( t ) δ ± ( t-3 π 2 ) dt 2 × 3=6 4. Given h ( t ) = u ( t-2) and x ( t ) = te-t u ( t ) , ﬁnd x * h ( t ). Is h ( t ) causal? Is the system BIBO stable? 4+1+1=6 1...
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