Frequency-domain design of 2-D digital filters using the Fornasini-Marchesini second model

Based on the Fornasini-Marchesini (FM) second local state-space (LSS) model, an efficient algorithm is developed to derive the characteristic polynomial and the inverse of the system matrix from the state-space parameters. As a results, the external description of the FM second LSS model is clarified. The FM second LSS model is then used to design 2-D state-space digital filters in the frequency domain. The resulting filter approximates both magnitude and group delay specifications, and its stability is always guaranteed.<
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