2004
DOI: 10.1063/1.1711189
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Fast exponential fitting algorithm for real-time instrumental use

Abstract: We report on a very fast fitting algorithm for single exponential functions which is based on the method of successive integration. The algorithm corrects the systematic error of trapezoidal integration. The new algorithm needs only 150 μs for a dataset of 1536 points and is around 700 times faster than the nonlinear Levenberg–Marquardt fit provided by LABVIEW. This makes it suitable for real-time instrumental use. Beside the better time resolution, the acceleration allows more averaging, which leads to higher… Show more

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Cited by 86 publications
(43 citation statements)
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“…A UG11 filter was placed between the rear mirror of the ring-down cavity and the PMT to suppress the flame chemiluminescence. The signal was recorded using the digital scope triggered on the laser pulse, averaged over 255 pulses and processed in order to measure the cavity decay time, s(k), using a fast exponential fitting algorithm for real-time instrumentation [33] with Labview 7.1. The fitting procedure was performed over 920 points, which represents a duration of 1840 ns (i.e., around 4 Â s(k)), with a resulting standard deviation lower than 0.2%.…”
Section: Laser Diagnosticsmentioning
confidence: 99%
“…A UG11 filter was placed between the rear mirror of the ring-down cavity and the PMT to suppress the flame chemiluminescence. The signal was recorded using the digital scope triggered on the laser pulse, averaged over 255 pulses and processed in order to measure the cavity decay time, s(k), using a fast exponential fitting algorithm for real-time instrumentation [33] with Labview 7.1. The fitting procedure was performed over 920 points, which represents a duration of 1840 ns (i.e., around 4 Â s(k)), with a resulting standard deviation lower than 0.2%.…”
Section: Laser Diagnosticsmentioning
confidence: 99%
“…As many as 100 ring-down traces of τ ≈ 26 μs were acquired using a fast fitting algorithm 52 at a rate of 20 Hz-30 Hz and averaged at each wavelength, corresponding to a minimum detectable absorption coefficient of ≈4 × 10 −10 cm −1 (see Fig. 1(b)).…”
Section: Methodsmentioning
confidence: 99%
“…Ten decay transients were sampled at 200 MSa/s (megasamples per second) and averaged on the oscilloscope (HP 5483, 600 MHz, 50 termination, 8 bit ADC). The digitized signal was transferred to a personal computer for exponential fitting with the Linear Regression of the Sum (LRS) algorithm (Halmer et al 2004) in a custom LabVIEW program. The LRS algorithm was selected because of its computational efficiency and reported noise immunity (Everest and Atkinson 2008).…”
Section: Crd Apparatusmentioning
confidence: 99%