NSU2009_ETE221_makeup

NSU2009_ETE221_makeup - sin(3 t 7 cos(2 t 5 2 sin(7 11 t Is...

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North-South University Midterm 2,Spring 2009 Date: 7th April,2009 Course: ETE-221/383 Time: 1hr. Marks: 23 Answer all of the following questions. 1. (a) Consider the elementary signal φ ( t ) = 1 2 (3 t 2 - 1) ( this is basically a Legendre polynomial of order 2 ) with t [0 , 1]. What is the component of this signal in the signal χ ( t ) = t 3 . (b) Check whether the “error” in the signal χ ( t ) is orthogonal to the φ ( t ). Should it be? Provide justiFcation of your answer. (4+3+2)=10 2. (a) Consider the signal comprised of the superposition
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Unformatted text preview: sin(3 t/ 7) + cos(2 t/ 5) + 2 sin(7 / 11 t ) . Is the total signal periodic? If so,Fnd the fundamental period of the total signal. What percentarge of the total power is contaned within each of the constituents? (b) Consider the signal x ( t ) = | t | for t ∈ [-π 2 , π 2 ] and x ( t ) = 0 for the rest of the period which is t ∈ [-π, π ]. Sketch the graph and Fnd the fourier coe±cients (2+1+2)+(3+5)=13...
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This note was uploaded on 06/08/2010 for the course ETE ETE 221 taught by Professor Adm during the Spring '10 term at North South University.

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