INTEGRATING AND DECIPHERING SIGNAL BY FOURIER TRANSFORM
Journal Title: Academic Research International - Year 2017, Vol 8, Issue 1
Abstract
The Fourier transform can be used to solve the periodic wave equation and non-periodic, this has been done by Frediric J. Harris. To provide an understanding and confidence in scientists who are beginners learn Fourier transformation, it will be required a proof that the integrated signal wave when deciphered using Fourier transformation will have parameters whose value is equal to the basic wave signal parameters before the integrated. This research uses an application program MS. Excel to integrate some basic signals, and use Matlab to decompose the results of the combination of these signals, then the results will be analyzed. To answer the problems and aims of research are required steps: 1) Combine multiple sinus equation by giving value to the parameters sine equation: Y = A sin (t + ), and then the Y value is calculated along the value t squen, repeat previous process as much as desired with a value of A, , and is different, and each the value of Y will be summed, so it will be formed a blend of discrete wave. 2) Decipher the integrated wave signal to obtain parameters of the fundamental frequency (fo), k, and the amplitude (A). The results of each parameter will be compared to the parameters of the basic signal. The examination results showed that the decomposition wave signal integrated using Fourier transform obtained the values of the parameters of frequency (f), the coefficient of frequency (k), and amplitude (A), the value is almost equal to the initial state before, with an error rate of only 0.0143 or 1.43 %.
Authors and Affiliations
Lis Diana Mustafa
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