The paper develops the analytical foundation for two IIR filter design methods that have been previously conceived as numerical algorithms for the approximation of analog filters: the extended window digitizing (EWD) method and the matched-pole (MP) frequency sampling design. The derivation of the EWD equations is based on a sampled data system representation, and provides a rigorous foundation for the MP method. Also, an original analysis of a previously proposed optimization process is done by using the equations developed for the sampled data system.
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