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Denoising, detrending, deconvolution: usual restoration tasks, traditionally decoupled. Coupled formulations entail complex ill-posed inverse problems. We propose PENDANTSS for joint trend removal and blind deconvolution of sparse peak-like signals. It blends a parsimonious prior with the hypothesis that smooth trend and noise can somewhat be separated by low-pass filtering.

In this paper the problems of transmitting trustworthy monitoring and control signals through the communication channels of sophisticated telemechanics systems using the IEC 60870-5-101 (104) are debated (104). Mathematically justified discrepancy between concepts of "information veracity" and " information protection from noise in communication channel" is shown. Principles of combined encoding ensuring high level of veracity of systems intended for energy supply are proposed.