Least p-power error design of FIR filters

The authors examine various iterative reweighted least squared error algorithms to obtain an L_p approximation for designing a linear phase FIR (finite impulse response) filter. These methods consider 1⩽p⩽∞ as being interesting themselves or as compromises between the traditional least squared error and Chebyshev designs. Convergence is the main problem in applying this approach. The authors give one new method to control convergence and a new generalization of the Rice-Lawson method. They also use these methods to give designs with different p in different frequency bands