Stabilizing the LFTF algorithm by leakage control

To stabilize the FTF algorithm [1] the accumulation of numerical errors can be prevented by introducing a leakage factor in the equation system as presented in [7]. In state space description the leakage factor causes a reduction of the eigenvalues of the linearized error system matrix. By an appropriate choice of the leakage factor the eigenvalues can be transformed into the unit circle of the z-plane resulting in a stable round-off error system. The structure of the linearized error system matrix shall be analysed and by comparing the Leakage FTF algorithm (LFTF) with the Stabilized FTF algorithm (SFTF) and the NLMS algorithm in a real-time environment the success of this method is shown.