The Digital Time Processing over Time Sensitive Networks (DTP TSN) disclosed herein is contributing methods, systems and circuits for using a Precision Time Protocol (PTP) such as IEEE 1588 for distributing a master time secured by a master unit to slave units by utilizing slave clocks recovered from PTP messages and/or compatible with them data receiver clocks for maintaining a local slave time which is increased to a local master time by adding to it an estimate of a transmission delay derived by processing PTP messages, wherein such distribution of the master time includes filtering out phase noise of a timing referencing signals communicated by PTP messages in order to produce accurate timing implementing signals such as the slave clock, local slave time and local master time.