102_1_midterm_practice

102_1_midterm_practice - f ( t ) using a period T . You nd...

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Systems and Signals Lee, Spring 2009-10 EE102 Midterm Practice Problems Problem 1. Computing Fourier Transforms The signal f ( t ) is plotted below: f ( t ) t 1 1 - 1 - 2 - 3 0 2 3 2 - 1 a) Find an expression for f ( t ) in terms sums and convolutions of signals de±ned for all t such as rect( t ) and Δ( t )( i.e. do not express it as a piecewise signal, de±ned over intervals). b) Find the Fourier transform of f ( t ). Simplify your answer. 1
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Problem 2. Fourier Series a) You compute the Fourier series of a signal
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Unformatted text preview: f ( t ) using a period T . You nd that all of the odd Fourier series coecients are zero (i.e. D 1 , D-1 , D 3 , D-3 , are all zero). What can you conclude about f ( t )? b) Two functions f ( t ) and f ( t ) have Fourier series coecients D n and D n , respectively, and D n = | D n | D n = D n + n Find a simple expression for f ( t ) in terms of f ( t ). 2...
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This note was uploaded on 12/09/2010 for the course EE ee102 taught by Professor Levan during the Spring '09 term at UCLA.

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102_1_midterm_practice - f ( t ) using a period T . You nd...

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