Computation of the phase detector characteristic of a QPSK Costas loop


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Abstract

For a QPSK Costas loop with a constant input frequency, the phase detector characteristic is analytically computed in the pull-in range. The performance analysis of this loop is reduced to the consideration of differential equations describing the Costas loop in the phase space for proportionality-integrating loop filters.

About the authors

G. A. Leonov

Faculty of Mathematics and Mechanics; Institute of Problems of Mechanical Engineering

Email: nkuznetsov239@gmail.com
Russian Federation, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504; V. O., Bol’shoi pr. 61, St. Petersburg, 199178

N. V. Kuznetsov

Faculty of Mathematics and Mechanics; University of Jyväskylä

Author for correspondence.
Email: nkuznetsov239@gmail.com
Russian Federation, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504; Mattilanniemi 2, FI-40014

M. V. Yuldashev

Faculty of Mathematics and Mechanics

Email: nkuznetsov239@gmail.com
Russian Federation, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504

R. V. Yuldashev

Faculty of Mathematics and Mechanics

Email: nkuznetsov239@gmail.com
Russian Federation, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504


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