Hilbert transform of sinusoid -- apparent contradiction – dsp.stackexchange.com

Hilbert transform of sinusoid -- apparent contradiction – dsp.stackexchange.com

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The arrow "$\xrightarrow{\mathcal H}$" denotes a Hilbert transform: $$\cos(\omega t)\xrightarrow{\mathcal H} \sin(\omega t)$$ happiness. But $$\cos(\omega t) = \cos(-\omega t) ...

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