# HW14

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Signals and Systems 21 November 2012 Fall 2012 Quiz: Wednesday 28 November 2012 Homework Assignment #14 1. A time function x ( t ) has the Fourier transform X ( j ω ) = 2 3 2 ω ω ω j j . Using the properties of the Fourier transform, write the Fourier transform of each of the following functions: (a) x (2 t + 1) (b) dx / dt (c) x ( t )cos( t ) 2. Find the inverse Fourier transform of each of the following frequency domain functions. (You should use a table of Fourier transforms.) (a) 2 ω e (b) 1 + ω ω j e j (c) 1 + ω ω j j 3. Find the Fourier transforms of the signals shown.
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