How can one determine whether a given signal is real-valued


How can one determine whether a given signal is real-valued or complex valued from the Fourier series coefficients?

1) A signal with a fundamental period of 12, and a5=1, a6=1 (rest are zeros)
2) A signal with a fundamental period of 12, and a2=j, a8=1 (rest are zeros)

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Electrical Engineering: How can one determine whether a given signal is real-valued
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