Significance of data communication in fourier series
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The Fourier Series and the related Fourier Transform, decompose signals into sums of complex exponential functions. These functions have easy relations with respect to linear transforms such as integration and differentiation. This makes the Fourier Series convenient for solving differential equations which are the centerpiece of most of modern Science. Professor Fourier applied the Fourier Series to heat transfer problems. I have seen them used for acoustics, astronomy, and structural design among other areas.
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