Time-Domain Filtering of Two-Dimensional Fluorescence Data

Abstract

Four time-domain filtering methods are applied to simulated and experimental two-dimensional fluorescence data in order to evaluate their performance. The methods that were evaluated are (1) moving average, (2) Savitsky-Golay polynomial smoothing, (3) Chebyshev filtering, and (4) bicubic spline filtering. The methods are compared with the use of mean square error analysis and the difference in the amplitudes of the filtered noisy and ideal data. The two-dimensional version of the Savitzky-Golay filtering and the spline method produced the best overall results.

Hand acceleration measurement by Kinect for rehabilitation applications

“…This leads to higher instantaneous error in tracking these joints. Another interesting observation is the poor performance of the Butterworth lter, which is the method of interest for velocity/acceleration estimation in optical systems such as Vicon [26][27][28][29]. In the case of Kinect, this method results in a mean RMS of about 50%, which is the highest among the four proposed methods most probably due to the higher level of measurement noise with wider frequency spectrum.…”

“…A B-spline is a di erentiable function up to the derivatives of degree k 1 all over its range [27]. It can be used as a function estimator for experimentally measured data [28,29]. Therefore, it can be used as an analytical approximate of the data, which can then be di erentiated for nding the derivatives.…”

Polychlorinated Aromatic Hydrocarbons in a Soil Sample Measured Using Gas Chromatography/Multiphoton Ionization/Time-of-Flight Mass Spectrometry

“…A set of two-dimensional data was averaged using a two-dimensional moving average (low pass) filter with a 5 × 5 window. 19,20 The data processing and filtering were performed using a homemade software package constructed in the LabVIEW programming environment (National Instruments, Tokyo, Japan). Although the mass resolution was reported elsewhere to be 1200, 18 it was degraded to 600, probably due to insufficient optimization of the analytical instrument.…”

Applications of multidimensional absorption and luminescence spectroscopies in analytical chemistry

“…This gives rise to a great need for multidimensional filtering techniques and other data processing methods. For example, Vicsek et al 28 have demonstrated the usefulness of time-domain filtering for enhancing the information of two-dimensional fluorescence.…”