Author： Leonard F.
Publisher： Academic Press
ISSN： 0888-3270
Source： Mechanical Systems and Signal Processing, Vol.11, Iss.1, 1997-01, pp. : 75-90
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Abstract
In harmonic analysis with fast Fourier transforms, referencing the phase at the centre of the spectral window is a useful means of perceiving a problem and conceiving a solution because, algebraically speaking, the phase can be referenced anywhere. The Cramer-Rao bound is used to demonstrate that the phase reconstruction error is minimum at the centre of the data buffer acquired with a rectangular window. In more general terms, in the presence of a frequency- and amplitude-modulated sinusoidal signal contaminated with noise, it is suggested that the spectral estimation gives the amplitude, frequency and phase of the signal as it passes through the middle of the observation window. It is at the centre of this window that signal reconstruction is most accurate. Furthermore, presenting a phase value referenced to another location often makes the equations relating the phase more complicated to formulate. Different examples of applications are provided along with the reasons why Hydro-Quebec has standardised this reference for its turbine-generator monitoring system.
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