ISSN 0032-9460, Problems of Information Transmission, 2009, Vol. 45, No. 2, p. 191. c Pleiades Publishing, Inc., 2009. Original Russian Text c V.V. Prelov, E.C. van der Maulen, 2009, published in Problemy Peredachi Informatsii, 2009, Vol. 45, No. 2, p. 127. LETTERS TO THE EDITOR Remark on “On Error-free Filtering of Finite-State Singular Processes under Dependent Distortions” Published in Probl. Peredachi Inf., 2007, no. 4 V. V. Prelov and E. C. van der Meulen DOI: 10.1134/S0032946009020100 The authors thank S.A. Pirogov for ﬁnding an error in the proof of the main theorem of our paper “On Error-free Filtering of Finite-State Singular Processes under Dependent Distortions” (Probl. Peredachi Inf., 2007, vol. 43, no. 4, pp. 271–279). The statement of the theorem remains valid (even without additional assumption on ﬁniteness of the number of values of a completely singular process X)if Y is an output process of a stationary memoryless channels whose input signal is X. However, in the general case, where Y is absolutely regular with respect to X,the question of validity of the theorem statement remains open. February 25, 2009. V.V. Prelov, E.C. van der Meulen
Problems of Information Transmission – Springer Journals
Published: Jul 18, 2009
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