If you were using the Fourier Series coefficient c_k to determine if an anomalous signal is...

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If you were using the Fourier Series coefficient c_k to determine if an anomalous signal is...

If you were using the Fourier Series coefficient c_k to determine if an anomalous signal is present, what characteristics (amplitude, frequency, time-shift) make it easier to detect?

In other words, is it easier to detect an anomalous signal that is large in amplitude, but at the same frequency and zero time shift?

Or is it easier to detect an anomalous signal that is small in amplitude and at a different frequency? Or…

Which coefficient would you use? Or would you use multiple coefficients?

Provide a brief discussion of your answers, and justify them with appropriate calculations and/or plots. Note: Recall that the coefficient c_k can be defined as c_k=|2∙d_k |

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