the sic mf mcce system 800 can be implemented either in an independent or joint arrangement an independent sic mf mcce system 800 is shown in fig8 in this arrangement a frequency shift processor 814 is connected between the respread processor 208 and the atrf 810 in each stage of the system the mode of operation in accordance with the independent sic mf mcce system 800 is shown in fig8 a in this mode steps 605 through 630 are identical to those described for the sic mcce and sic jmcce systems 200 700 however an additional step step 835 is added to shift the frequency of the signal output from the respread processor 208 to take into account doppler spread and un compensated frequency tracking errors the output of the frequency shift processor 814 is then used as input to the mcce weight update processor 64 at step 840 the atrf 810 estimates the channel using either the basic or joint technique previously discussed the following is a more detailed description of the operation of the atrf 810 in accordance with a preferred embodiment of our invention u015d k p n represents a row vector containing q samples of the reconstructed signal for user k from time nt s to n q u2212 1 t s and frequency shifted by p u2212 p 2 qt s hz s k p n s k u2061 nt s u2062 u2147 j2 u03c0 u2061 p p 2 u2062 n q s u2061 n 1 u2062 t s u2062 u2147 j2 u03c0 u2061 p p 2.