Analysis and performance evaluation of (ℓ1, ℓ2, ℓ4)-based adaptive filtering algorithms

This work treats the performance evaluation of lscr_p-based algorithms, such as lscr₁, lscr₂, and lscr₄. Moreover, a variable weight mixed-norm lscr₂-lscr₄ algorithm is also included in this study and shown to result in a better performance than each of the lscr₂-and lscr₄-based algorithms. The performance evaluation is carried out for noise with uniform distribution and Gaussian distribution. Detailed simulations are performed to assess the behavior of these algorithms under these noise environments.