Wiener filtering and LMS algorithm of periodic nonuniformly sampled stochastic sequence

A study of Wiener filtering and an LMS algorithm of a periodic nonuniformly sampled stationary stochastic sequence is made. It is demonstrated that the Wiener-Hopf equation of such signals should be constructed and solved on each of the M staggered ordinals, a concept of periodic time-variant weights. Also shown is that in the LMS algorithm, M weight vectors should be adjusted respectively according to the staggered ordinals. Some conclusions and simulation results are given