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is solution of fourier series is unique?

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electronics_kumar

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fourier series is unique

A signal in a time domain can be represented in a frequency domain by fourier as a summation of sinusoids and cosinusoids..i want to know whether there exists unique one solution or more than one unique solution....
 

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vadkudr

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Of course it is unique, because it is decomposition on the set of orthogonal functions
 

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