Tracking Analysis of Affine Projection Filters to Carrier Frequency Offset

Abstract

Abstract-Carrier frequency offset (CFO) between transmitter and receiver carrier generators degrade the performance of adaptive filters seriously, even for very small CFO. Tracking analysis of the affine projection filter is carried out in the presence of CFO. The energy conservation relation of the affine projection filter with both random and cyclic nonstationarities is derived. Based on the energy conservation relation the steadystate mean-square error is derived in the presence of cyclic nonstationarities. The theoretical results are very close to the Monte Carlo simulation curves. Besides, the simulations results show that the tracking performance improves according to the increase of the order of the affine projection filters.