this post was submitted on 16 Sep 2024
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To add to the other answers, the 'amplitude/power of a signal at a given frequency' has to do with frequency-amplitude decomposition of a signal.
The frequencies correspond to the frequencies of some periodic functions which we choose for a given decomposition. The set of these functions is the basis of the decomposition.
When the functions are multiplied by the relevant amplitudes, their superposition gives us the original signal.