2009
DOI: 10.1121/1.3212928
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Matching the waveform and the temporal window in the creation of experimental signals

Abstract: When a periodic waveform with a discrete-harmonic spectrum is temporally windowed to make a signal, its spectrum becomes a continuous function of frequency. However, there are discrete-frequency representations for windowed signals such as the Fourier series representation of a periodically extended signal. This article introduces the concept of matching between the temporal window and the periodic waveform. Matching leads to a discrete-frequency representation in which the Fourier transform of the windowed si… Show more

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Cited by 3 publications
(1 citation statement)
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“…(18) for x 1 ðsÞx 2 are valid if the signal duration and the component frequencies are matched (Hartmann and Wolf, 2009). For instance, a duration of 1 s is matched by component frequencies that are integer numbers of hertz, i.e., components can be separated by 1 Hz, or by 2 Hz, etc.…”
Section: Caveatsmentioning
confidence: 99%
“…(18) for x 1 ðsÞx 2 are valid if the signal duration and the component frequencies are matched (Hartmann and Wolf, 2009). For instance, a duration of 1 s is matched by component frequencies that are integer numbers of hertz, i.e., components can be separated by 1 Hz, or by 2 Hz, etc.…”
Section: Caveatsmentioning
confidence: 99%