Design of linear-phase recursive filters by optimization of model reduced non-recursive filters

This paper presents a linear-phase IIR filter design approach, based on optimization of IIR filters obtained via model reduction of symmetric-coefficient FIR filters. The desired IIR filter is reached by minimizing the L/sub 2/ error between the frequency response of the model reduced IIR filter and an almost-ideal frequency response. The objective function is constructed as the squared spectral norm of an interconnection of filters. The gradient of the objective function with respect to the IIR filter's parameters is derived and used to apply Quasi-Newton algorithms. A design example is carried to illustrate the potential of the proposed approach.

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