O. Helene et al., Variances and covariances in deconvolution of multichannel spectra: S-34 (gamma,xn) cross section, BRAZ J PHYS, 31(1), 2001, pp. 8-14
This paper discusses some aspects of deconvolution of one-dimensional spect
ra in the framework of the Least Squares Method and presents a minimum vari
ance regularization procedure. Covariance matrices are taken into account i
n every step. Fluctuation and artifacts, both in the deconvolved and regula
rized spectra, are related to the structure of the covariance matrices, The
method is applied to a simulated spectrum and to the S-34 (gamma ,xn) cros
s section determination from actual yield data.