2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f). (b) Find the Fourier transform of 100 sinc²(10t).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. (a) Show that
gi(t)g2(t) G₁(f) * G₂(f)
where denotes convolution and gi(t)=G₁(f), 92(t) = G₂(f).
(b) Find the Fourier transform of 100 sinc²(10t).
Transcribed Image Text:2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t)=G₁(f), 92(t) = G₂(f). (b) Find the Fourier transform of 100 sinc²(10t).
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