FOURIER TRANSFORM AND SOME OF ITS APPLICATION

SUMMARY

This work is aimed at introducing the concept of Fourier Transform as extension to Fourier Series owing to the fact Fourier series is limited to periodic functions alone.an attempt has been made to show that there is a close relationship between the Fourier series and Fourier Transform and our derivation in section 2.1 has helped in buttressing this. Also stating the conditions for which a function can be Fourier Transform. Also, the definitions of the various types of Fourier Transform were highlighted with their expression given in equations. This still was made in tabular form to give the result of Fourier Transform functions both periodic and non-periodic. Its properties were not left out for easily identification since Fourier Transform is one among the several integral transforms. A number of problems where Fourier Transform can be applied was treated and received attention and how to go about it when faced with one. It’s relevance, with worked examples solved at first and its relationship with another transform (Laplace) given.