Entwurf nichtrekursiver Digitalfilter mit beliebigen Betrags- und Phasengängen

This paper presents an efficient multiple exchange algorithm for the frequency domain design of digital FIR filters with arbitrary magnitude and phase responses. The designed filters minimize theL ₂ norm of the weighted complex frequency domain error function subject to constraints on the resulting magnitude and phase errors. This general design criterion allows for an arbitrary trade-off between complexL ₂ approximation and Chebyshev approximation of given magnitude and phase responses. The optimization can be carried out by iteratively solving small quadratic programs. These linearly constrained subproblems can be solved using robust standard software.