This article is cited in 2 papers

Deterministic Systems

Mathematical models of phase syncronization systems with quadrature and phase-quadrature units

G. A. Leonov

St. Petersburg State University

Abstract: Integro-differential and differential equations are derived for PLL systems with squarer and for the Costas loop. The equations are based on special asymptotic methods of high-frequency harmonic and pulse oscillations analysis. Methods to compute phase detector characteristics are proposed. New classes of such characteristics are introduced for highfrequency pulse clocks.

PACS: 02.30.Yy, 01.60.+q

Presented by the member of Editorial Board: B. T. Polyak

Received: 10.12.2007

 English version: Automation and Remote Control, 2008, 69:9, 1475–1485

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