A method of transmitting data from a well tool disposed in a wellbore to a processing system disposed at a surface of said wellbore, said well tool including an antenna for sensing information and generating a plurality of inphase amplitudes and a plurality of quadrature amplitudes in response to said information, comprising the steps of:
- in said well tool, estimating a signal phase from the inphase and quadrature amplitudes;
- determining a plurality of values A.sub.j.sup.(+) from the signal phase, the plurality of inphase amplitudes, and the plurality of quadrature amplitudes;
- sub-dividing said plurality of values into groups thereby producing a plurality of groups of said values, where the plurality of groups is less than the plurality of values;
- generating a window sum value for each group of the plurality of groups of said values, thereby producing a plurality of window sums, where the plurality of window sums is equal to the plurality of groups of said values;
- and
- transmitting the plurality of window sums uphole from the well tool disposed in said wellbore to the processing system disposed at the surface of said wellbore.