By Saleh R. Al-Araji
This fascinating new publication covers a number of forms of electronic part lock loops. It offers a finished insurance of a brand new classification of electronic part lock loops known as the time hold up tanlock loop (TDTL). It additionally info a few architectures that increase the functionality of the TDTL via adaptive thoughts that triumph over the conflicting requisites of the locking rage and pace of acquisition.
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Extra resources for Digital Phase Lock Loops
Hence, for a robust estimation of the convergence time of TDTL, a numerical study is essential. This is rather similar to the discrepancy found in  for the sinusoidal DPLL. 25. 01, and function of the phase error detector is non-linear for TDTL and the sinusoidal DPLL, while it is linear for CDTL. 9, the normalized convergence times for CDTL and TDTL for the same parameters as above and diﬀerent values of TDTL nominal phase shift ψo . The value of ψo is decided by the center frequency ωo and the time-delay τ .
E. locking occurs approximately at the third sampling instant. For CDTL with same parameters K1 , W and φ(0) as above we have kc = 7. The same ratio between the convergence indicators of TDTL and CDTL is approximately true for all values of the initial phase error φ(0) in this example. Therefore, the convergence speed is nearly doubled in this case by using TDTL with ψo = π/3. Further studies on convergence behavior would be presented later in this chapter. 9 and φ(0) = −1 (rad), plotted modulo (2π).
2). Note: lock range is the area under the suitable curve. The ranges of independent locking for CDTL and TDTLs are the areas enclosed by the dashed line and the appropriate curves. and that the other limits, lim hψ (φ) and lim hψ (φ), are not considered as they φ→π + φ→−π − are outside the interval (−π, π). It is worth noting that the above two conditions are independent of ψo . 2 for the second-order CDTL and TDTL with diﬀerent values of ψo . 4 Locking Speed In this section, the convergence behavior of the TDTL in the absence of noise is analyzed.