Some comments on the note "Some comments on the paper 'Filter design for   the detection of compact sources based on the Neyman-Pearson detector' by M.   Lopez-Caniego et. al (2005, MNRAS 359, 993)" by R. Vio and P. Andreani   (astroph/0509394)
  In this note we stress the necessity of a careful check of the arguments used by Vio & Andreani (2005) (VA hereinafter) to criticise the superior performance of the biparametric scale adaptive filter (BSAF) with respect to the classic matched filter (MF) in the detection of sources on a random Gaussian background. In particular, we point out that a defective reading and understanding of previous works in the literature (Rice 1954; Barreiro et al. 2003; Lopez-Caniego et al. 2005) leads the authors of VA to the derivation of an incorrect formula and to some misleading conclusions. 
M. Lopez-Caniego, D. Herranz, R.B. Barreiro, J.L. Sanz