practice2 - University of Notre Dame Department of Electrical Engineering EE 30344 Signals and Systems I Dr M Haenggi November 7 2006 mh Practice Exam

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University of Notre Dame November 7, 2006 mh Department of Electrical Engineering EE 30344 – Signals and Systems I Dr. M. Haenggi Practice Exam for Midterm 2 1. A CT LTI system is described by the frequency response H ( ) = e - j 2 ω 2 + ω 2 . Find the output of the system when the input is sin(3 t + π/ 8). 2. A voice signal m ( t ) with the FT M ( ) given below is modulated into an AM radio signal of the form z ( t ) = (1 + m ( t )) cos(10 6 πt ) . Sketch the FT of z ( t ). M(j ) ϖ ϖ 1 10 -10 4 4 3. An LTI DT system has input x [ n ] and output y [ n ]. We observe that when x [ n ] = δ [ n ], y [ n ] = 0 . 5 δ [ n ] + 0 . 5 n cos( πn 3 ) u [ n ]. Find a difference equation relating

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