This note supplements the paper of Sakai [1] about circular lattice filtering with the derivation of optimal recursive least squares circular lattice estimation algorithms. The derivation is based on the geometric method of Lee, Morf, and Friedlander [2]. The same method is also applied to obtain an optimal recursive estimation algorithm for escalator structure of Ahmed and Youn [3].
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Kawase et al. (1983) studied this question.
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