Paper Presentation & Seminar Topics: fourier transformation

fourier transformation

Abstract : seminar The Fourier transform, in essence, decomposes or separates a waveform or function into sinusoids of different frequencies, which adds to the original waveform. It identifies or distinguishes the different frequency sinusoids and their amplitudes.The Fourier transform of a mathematical concept: the Fourier transform is based on the discovery that it is possible to make periodic fuction of time x (t) and resolved into a sum equivalent of infinite sine and cosine waves with frequencies from 0 and multiples of a base rate increase of f0 = 1 / T, where T is the period of x (t).Historical perspective: Joseph Fourier (1768-1830) was a French mathematician and physicist who, because of his interest in the thermal conductivity, developed a mathematical method to represent all the discontinuous function of space or time in the form of a much simpler trigonometric series continues cosine or sine functions. These series are called a Fourier series, and the process of dissection cosine and / or sine components is called Fourier analysis. The reverse or inverse cosine recombination and / or sine Fourier synthesis.If called a metal bar is heated, the temprature of the bar is highest at the point where it is heated and this heat then spread through the bar. Take the temperature versus distance along the bar, we see that this is an example of a discontinuous function.Fourier achieved if the temperature gradient was continuous sine curves having 1,2,3 or more bikes along the bar, then the summation of these give a good approximation of the original function discontinuous. The curves further indicated Fourier series, the best agreement with the Fourier synthesis with the experimental measurements.