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If I take the magnitude of a complex signal, and then subtract the mean amplitude, I remove DC offset but lose the real and imaginary components. How can I properly subtract the DC offset of a complex signal? Subtracting the complex amplitude results in a non-zero magnitude so I don't believe that's the way to go...

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Using the term "DC offset" is a little misleading in this context. I think what you are asking is how do your "center" your signal. That is simple: Take the average value (sum of N samples divided by N) and subtract it from each sample. A "DC offset" is usually considered in terms of real valued signals. The DC stands for "Direct Current".

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