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Re: No, Todd, the "period" that the sum repeats at can be "infinity".

"The frequency components are a sync function that goes to infinite frequency"

Do you even realize what the sinc function is or does??? In its use in audio DSP, it does *not* go to infinite frequency. For it's a **time** function.... It's at a **single** frequency with both rise and decay, and is tuned to Fs/2 and truncated within a window (FIR) to implement the "brickwall" digital filter.
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