DESIGN OF NONRECURSIVE FILTERS SATISFYING ARBITRARY MAGNITUDE AND PHASE SPECIFICATIONS USING A LEAST-SQUARES APPROACH

A method is described which can be used to design nonrecursive filters satisfying prescribed magnitude and phase specifications, The method is based on formulating the absolute mean-square error between the fre quency response of the practical filter and the desired response as a quadratic function, The coefficients of the filters are obtained by so lving a set of linear equations, It is shown that our method, in gener al, has an order of magnitude lower computational complexity than the eigenfilter method. For the design of allpass filters, in particular, the computational complexity is three orders of magnitude lower than t he eigenfilter method, In addition, our method yields a lower mean-squ are error.