2 Mark Q(fourer And Z)
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View 2 Mark Q(fourer And Z) as PDF for free.
More details
- Words: 142
- Pages: 1
1.If F(s) is the Fourier transform of f(x), then find the Fourier transform of f(ax). 1 , x ≤1 2. Find the Fourier transform of f(x) = 0 , x > 1 -x 3. Find the Fourier cosine transform of e ∞
−λ 4. Solve the integral equation ∫ f ( x ) cos λx dx = e . 0
5. Find the Fourier sine transform of
1 x
6. State the Fourier integral theorem. 7.Prove that F [ eiax f(x)] = F(s+a) where F [f(x)] = F(s). 8.Write down the Fourier cosine transform pair of formulae. 9. State convolution theorem on Fourier transforms. 10.If F [f(x)] = F(s), prove that F [ f(x-a) ] = eisa F(s). 11. Find the Fourier sine transform of e-x 1 s 12.prove that F [f(ax)] = F( ) ,a > 0. a a 13.
−λ 4. Solve the integral equation ∫ f ( x ) cos λx dx = e . 0
5. Find the Fourier sine transform of
1 x
6. State the Fourier integral theorem. 7.Prove that F [ eiax f(x)] = F(s+a) where F [f(x)] = F(s). 8.Write down the Fourier cosine transform pair of formulae. 9. State convolution theorem on Fourier transforms. 10.If F [f(x)] = F(s), prove that F [ f(x-a) ] = eisa F(s). 11. Find the Fourier sine transform of e-x 1 s 12.prove that F [f(ax)] = F( ) ,a > 0. a a 13.
