Combination of affine projection sign algorithms for robust adaptive filtering in non‐Gaussian impulsive interference

A method for minimising the L 1 norm relying on the convex combination of two affine projection sign algorithms is proposed. The major drawbacks of the affine projection sign type algorithms are a poor convergence rate and instability in time‐variant scenarios, especially in the presence of abrupt changes. A convex combination method is used to obtain a superior performance. Instead of minimising the squared error in the conventional convex combination theory, the minimisation of the L 1 norm is introduced to offer a more robust solution in the presence of a non‐Gaussian impulsive interference. The good performances in terms of the convergence rate and the steady‐state error are demonstrated in a plant identification experiment that includes the impulsive noise and abrupt changes.