Verified inclusion for eigenvalues of the first order PLL equation with general phase detector characteristics |
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| Authors: | Prof. Dr. W. J. Luther Dr. W. Otten |
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| Affiliation: | 1. FB 11/Informatik II, Universit?t-GH-Duisburg, Lotharstrasse 65, D-47048, Duisburg, Federal Republic of Germany
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| Abstract: | We present a method depending on matrix continued fractions and Sturm's comparison theorem to obtain verified inclusions for eigenvalues of the underlying boundary value problem of the first-order phase locked loop equation $pu'' + (lambda + tilde g)u = 0$ ,p = 1/SNR with general phase detector characteristic $tilde g(phi )$ . |
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