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Yes, If you perform a windowed Fourier Transform of a truly periodic signal using a window function exactly one cycle wide the results will be exactly the same signal frequency spectrum, regardless of where on the signal you placed the window function. But you should also realize the results will also be the same signal frequency spectrum using a window function of any width that is an integer multiple of one cycle (greater than zero), or even without any window function at all. This signal frequency spectrum contains all the information needed to determine what is commonly called the bandwidth of the signal (and that spectrum often contains frequencies outside that bandwidth, but usually only at very low amplitudes so that their loss in filters, etc. is not generally considered significant).

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Q: Is the bandwidth equal in each cycle of a periodic signal?
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No, because for a signal to become periodic it must repeat itself in regular intervals of its time period.A 0 Hz signal has a time period equal to infinity , so technically the signal can never complete a full cycle by reaching infinity let alone repeat itself, since the signal is unable to repeat itself in regular intervals its not periodic.


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