B.М. Vovshin – Dr.Sc. (Eng.), Head of Department, Design Bureau of JSC «RPC «Lianozovo Electromechanical Plant»; Professor, Moscow Technical University (MIREA)

E-mail: boris@eleron.net

I.S. Vylegzhanin – Ph.D. (Phys.-Math.), Chief Engineer, Design Bureau of JSC «RPC «Lianozovo Electromechanical Plant» E-mail: isv1980@yandex.ru

А.N. Korneev – Head of Sector, Design Bureau of JSC «RPC «Lianozovo Electromechanical Plant» E-mail: akorneev@lemz.ru

V.V. Lavrukevich – Ph.D. (Eng.), Leading Engineer, Design Bureau of JSC «RPC «Lianozovo Electromechanical Plant» E-mail: lvv.0xff@gmail.com

А.А. Pushkov – Ph.D. (Eng.), Senior Research Scientist, Design Bureau of JSC «RPC «Lianozovo Electromechanical Plant» E-mail: minipooh@yandex.ru

In this article, which is the third in the cycle, the mathematical foundations of the theory of adaptive systems of interperiod processing are considered. The connection of the theory of optimal filtering with compensation systems of clutter in radar is shown. Considered the transition from linear filters to lattice structures based on the Levinson algorithm and the factorization. The advantages and construction principles of adaptive systems of interperiod processing, based on adaptive lattice filters.

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