Computing decoupled residuals for compact disc players

In order to improve Compact Disc Players playability regarding playing Compact Discs with surface faults, like scratches and fingerprints etc, the attention has been put on fault tolerant control schemes. Almost every of those methods are based on fault detection. The standard approach is to use a pair of residuals generated by Compact Disc Player. However, these residuals depend on the performance of position servos in the Compact Disc Player. In other publications of the same authors a pair of decoupled residuals is derived. However, the computation of these alternative residuals has been based on iterative methods. In this paper an algebraic solution is presented. The algebraic algorithm do only use two thirds of the number of multiplication and additions as the iterative method uses per iteration.