While the incremental and diffusion affine projection algorithms have fast convergence rate

they may suffer from bad convergence performance or divergence in impulsive interference environments. Based on the method of minimization of the

?

1

-norm of the

a posteriori

error vectors subject to a constraint on the update of the weight vectors of nodes in the network

two distributed estimation algorithms against impulsive interferences are proposed

namely

the incremental and diffusion affine projection sign algorithms. Simulation results show that the distributed affine projection sign algorithms exhibit better robustness than the distributed affine projection algorithms in impulsive interference environments.