A method, system and computer-readable medium for obtaining a temperature profile of a wellbore is disclosed. Raw temperature data are obtained from the wellbore using a distributed temperature sensing system. The raw temperature data includes noise. A numerical decomposition is performed on the raw temperature data within a dynamic window in a measurement space of the raw temperature data to obtain decomposition terms of order of first order and higher. An adaptive filter is applied to the decomposition terms of first order and higher within the dynamic window to reduce noise from the decomposition terms of first order and higher. The filtered decomposition terms of first order and higher are used to obtain a temperature profile of the wellbore.