Find the Fourier transform of the following signals. (Don't use Table 5.2 entry for sinc?. You need to derive it yourself by finding the convolution in the time domain.) a) x(t) = sinc²t b) x(t) = sinc) The answer should be a/ t tri(w/2) b/ (2T/a) rect (w/a) Please don't use the table formula

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the Fourier transform of the following signals. (Don't use Table 5.2 entry for sinc?. You
need to derive it yourself by finding the convolution in the time domain.)
a) x(t) = sinc?t
%3D
b) x(t) = sinc)
The answer should be
a/ t tri(w/2)
b/ (2t/a) rect (w/a)
Please don't use the table formula
Transcribed Image Text:Find the Fourier transform of the following signals. (Don't use Table 5.2 entry for sinc?. You need to derive it yourself by finding the convolution in the time domain.) a) x(t) = sinc?t %3D b) x(t) = sinc) The answer should be a/ t tri(w/2) b/ (2t/a) rect (w/a) Please don't use the table formula
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