Abstract: Method and apparatus for enabling the observation of a physical reaction occurring over many orders of magnitude in time including sensing information during a kinetic action and providing a corresponding output signal, integrating the output signal over periodic linear time segments, converting the information into digital form, and averaging the periodic information samples over exponentially increasing time intervals, each containing a plurality of said linear time segments. A digital signal averager with logarithmic time base in which analog signal information derived for instance during a physical reaction is converted into digital form in periodic samples of discrete linear time intervals, and including means for summing the samples over time intervals increasing by a fixed power, for instance two, and means for dividing the sum for each of the increasing time intervals by the number of linear time intervals in each of the increasing time intervals.