Lp-norm-based all-pass system design with improved convergence and robustness

When the least-pth algorithm is used for designing all-pass digital systems in the minimax error sense, an appropriate large p must be used. However, a large p may lead to divergent solution, i.e., the least-pth algorithm may diverge. This paper describes how to select a large p for the minimax design and thus guarantee the convergence of the iterative least-pth design procedures. A design example is given to show the convergence improvement as well as the effectiveness of the proposed search scheme for selecting a large p.