assignment1_w11_soln

assignment1_w11_soln - SYSC3501 Communication Theory...

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Unformatted text preview: SYSC3501 Communication Theory Assignment #1 Solution Set (Winter 2011) Problem 1 : Determine the Fourier transform of the signal: s(t ) 3 cos(2000 t ) 5e |t| There are 2 approaches to answer this question. Both yield equivalent answers. 1st approach: 2nd approach: Directly from the Fourier Transform Pair table: Let s(t) = s1(t) + s2(t) where s1 (t ) 3 cos( 2000 t ) Using the property of linearity: S(f) = S1(f) + S2(f) Problem 2 : Determine the complex Fourier coefficients for the following periodic waveform. s(t) 2 1 … 1 2 4 5 -6 -5 -3 -2 t Problem 3 : A periodic rectangular pulse train waveform w(t) is shown in the following figure. Determine its Fourier transform, power spectral density and normalized power. w(t) A … -/2 /2 T0-/2 T0 T0+/2 t There are 2 approaches to find . Both yield equivalent answers. 1st approach: 2nd approach: Directly from the Fourier Transform Pair table: H(n = Problem 4: If w(t) has the Fourier transform: Find X(f) for the following waveforms: a) x(t) = w(2t+2) b) x(t) = e-jt w(t-1) ...
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This note was uploaded on 02/15/2011 for the course SYSC 3501 taught by Professor Fewrf during the Spring '11 term at Carleton.

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