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Exact calculation of phase-locked loop lock-in frequency

Exact calculation of phase-locked loop lock-in frequency

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© The Institution of Electrical Engineers
Published

Using a novel cycle-slip criterion, two methods of computing the lock-in frequency of phase-locked loops are reported. The lock-in frequency of a second-order loop with sinusoidal phase detector is presented as a function of system parameters, and useful estimates by the pull-out and pull-in frequencies are given.

Inspec keywords: phase-locked loops

Other keywords: phase-locked loops; cycle-slip criterion; lock-in frequency; second-order loop; sinusoidal phase detector; pull out frequency; pull-in frequencies

Subjects: Modulators, demodulators, discriminators and mixers

References

    1. 1)
      • F.M. Gardner . (1967) , Phaselock techniques.
    2. 2)
      • P. Hasan . Algorithm for solving a class of phase-lock-loop equations. Electron. Lett. , 153 - 154
    3. 3)
      • L.J. Greenstein . Phase-locked loop pull-in frequency. IEEE Trans. , 1005 - 1013
    4. 4)
      • Brunk, M., Saalfrank, W.: `Pull-out frequency of delay-locked loops with different correlator characteristics', Proceedings of 7th European conference on circuit theory and design, 1985, Prague, p. 306–309.
    5. 5)
      • P. Hasan . Nonlinear dynamics of PLL systems. Arch. Elektron. & Übertragungstech. , 302 - 305
    6. 6)
      • R.E. Best . (1984) , Phase-locked loops.
    7. 7)
      • W. Saalfrank . Pull-out frequency of second-order phase-locked loops with piecewise linear phase-detector characteristics. Arch. Elektron. & Übertragungstech. , 283 - 284
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