An ℓ1-norm Linearly Constrained Affine Projection Algorithm

In this work, we detail an ℓ
₁
-norm Linearly Constrained Affine Projection Algorithm (ℓ
₁
-CAPA) to be employed in solving problems whose solutions have some degree of sparsity, such as in beamforming or when dealing with sparse communication channels. The effectiveness of this algorithm, in terms of MSE and convergence rate, is demonstrated via computer simulations.