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Unformatted text preview: University of Minnesota Dept. of Electrical and Computer Engineering EE3015 – Signals and Systems Midterm Solutions November 6, 2009 1. (15 Pts.) Consider a system with input x ( t ) and output y ( t ). Answer the following questions (just mark YES or NO) a) Does the system ) 2 ( ) ( t x t y = have memory? X YES NO b) Is the system ) ( ) 1 cos( ) ( t x t t y + = stable? X YES NO c) Is the system ) ( ) ( 2 t x t t y = time-invariant? YES X NO 2. (10 Pts.) Consider a Linear Time-Invariant system with impulse response ] [ n h . Answer the following questions (just mark YES or NO) a) If ∑ ∞ −∞ = − = k k n n h ] 3 [ ] [ δ , is the system causal? YES X NO b) If ] 4 [ ] 3 [ ] [ − − + = n u n u n h , is the system stable? X YES NO 3. (25 Pts) Calculate the Discrete-Time convolution of ] 1 [ 3 1 ] [ ] 1 [ ] [ 1 + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = − = + n u n h n u n x n We first graph x [ n ] and h [ n ] OPTION 1: We graph x [ k ] and h [ n- k ] Next we multiply both...
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This note was uploaded on 12/20/2009 for the course EE 3015 taught by Professor Staff during the Fall '08 term at Minnesota.
- Fall '08