This paper provides analytical performance of the low-complexity family of
affine projection algorithms on the estimation of multipath Rayleigh fading
channels in the presence of carrier frequency offsets (CFO) and random channel
variations. Our analysis is based on the calculation of the error correlation
matrix of the estimation, the mean-square weight error (MSWE) and the
mean-square estimation error (MSE) parameters.
Recently a framework has been introduced within which a large number of
classical and modern adaptive filter algorithms can be viewed as special cases.
Variable Step-Size (VSS) normalized least mean square (VSSNLMS) and VSS Affine
Projection Algorithms (VSSAPA) are two particular examples of the adaptive
algorithms that can be covered by this generic adaptive filter. In this paper,
we introduce a new VSS Partial Rank (VSSPR) adaptive algorithm based on the
generic VSS adaptive filter and use it for channel equalization.