Quantitative estimation of trace chemicals in industrial effluents with the Sticklet transform method

Application of a novel transform operator, the Sticklet transform, to the quantitative estimation of trace chemicals in industrial effluent plumes is reported. The sticklet transform si a superset of the well-known derivative operator and the Haar wavelet, and is characterized by independently adjustable lobe width and separation. Computer simulations demonstrate that we can make accurate and robust concentration estimates of multiple chemical species in industrial effluent plumes in the presence of strong clutter background, interferent chemicals and random noise. In this paper we address the application of the sticklet transform in estimating chemical concentrations in the effluent plumes in the presence of atmospheric transmission effects. We show that this transform retains the ability to yield accurate estimates using on-plume / off-plume measurements that represenst atmospheric differentials up to 10% of the full atmospheric attenuation.