## Generalized Functions, Volume I, translated by E. Saletan

- G. E. Shilov, I. M. Gelfand
- 1964

@inproceedings{Simmons1991DeconvolutionOA, title={Deconvolution of Acoustic Emission and Other Causal Time Series}, author={John Arthur Simmons}, booktitle={Journal of research of the National Institute of Standards and Technology}, year={1991} }

- Published in Journal of research of the National Institute of…1991
DOI:10.6028/jres.096.019

A new technique, root projection (RP), is given for quantitative deconvolution of causal time series in the presence of moderate amounts of noise. Deconvolution is treated as a well-conditioned but underdetermined problem and a priori information is employed to obtain comparable noise reduction to that achieved by singular value decomposition (SVD) techniques while providing more accurate frequency information about the inverse. Two detailed examples arc given. The first gives noise analysis… CONTINUE READING