We describe an interferometric technique for the demodulation of serial fib
re Bragg grating sensor arrays, yielding absolute measurement of the indivi
dual grating mean wavelengths. The composite beam reflected from the array
illuminates a scanning Michelson interferometer but, in contrast to spectra
l measurement by Fourier Transform Spectroscopy, our technique requires an
OPD scan far shorter than the coherence length of the grating reflections.
The technique is based on the high-resolution measurement of the phases of
the complex analytic signals and of the relationship of these phases to int
erferometric delay. The analytic signals are derived via the Hilbert transf
orm, allowing frequency domain filtering of individual signals within the s
ignal processing. The technique has yielded a resolution of 0.007 nm for an
OPD scan of 1.2 mm. (C) 1999 Elsevier Science B.V. All rights reserved.