# The Fourier transform of the triangular pulsex(t) in Fig. P7.3-4 is expressed as1X(a)(e Jjwe Jo-1)Use this information, and the time-shifting andtime-scaling properties, to find the Fourier trans-forms of the signals x;(t)(i= 1,2,3,4,5) shownin Fig. P7.3-4 - 1012-1/3-1.5-0.50.51.5Figure P7.3-4

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Determine a matrix representation if possible for each mapping in the problem.

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Step 1

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Step 2

We are given the Fourier transform of the triangular pulse x(t) of the figure below is expressed as

Step 3

Here,

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