Tutorial on Digital Phase-Locked Loops - CppSim
M.H. Perrott 2 Why Are Digital Phase-Locked Loops Interesting? Performance is important-Phase noise can limit wireless transceiver performance-Jitter can be a problem for digital processors The standard analog PLL implementation is problematic in many applications-Analog building blocks on a mostly digital chip pose - design and verification challenges
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Tutorial on Digital Phase-Locked Loops
cppsim.comM.H. Perrott 5 Integer-N Frequency Synthesizers Use digital counter structure to divide VCO frequency-Constraint: must divide by integer values Use PLL to synchronize reference and divider output Sepe and Johnston US Patent (1968) Output frequency is digitally controlled ref(t) e(t) Analog v(t) out(t) Loop Filter Phase
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cppsim.comTransconductance in Subthreshold Region Assuming device is in subthreshold and in saturation: 12 Id Vgs Id_op Vds > 100mV M1 Id Vgs NMOS g s d gm = ΔV gs ΔId Vgs_op Vgs_op ⇒ gm = δId δVgs ≈ID0 W L eVgs/(nVt) 1 nVt = Id nVt Recall for strong inversion : gm ≈ 2Id (Vgs −VTH) ID ≈ID0 W L eVgs/(nVt) g m purely a function of I d!
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