IEEE Solid-States Circuits Magazine - Spring 2023 - 10

the PFD and CP output pulses in the
locked condition.
Second, we carry out pss and
pnoise simulations to determine the
input-output
frequency response.
This is accomplished by modulating
the supply of the reference buffer by
thermal noise so as to impart white
PN to the waveform entering the PFD
(Figure 12) [7]. If this PN is tens of
decibels greater than the synthesizer's
intrinsic noise, the output spectrum
reveals the transfer function,
specifically, the 3-dB bandwidth and
the amount of peaking.
Module 1
L2
CK
Q1
L1′
B1
FIGURE 11: Vaucher's modular MMD. CK: clock; MC: modulus control.
+
-
+
-
PLL
fREF
f
fout
f
05 10 15 20
Time (ns)
fREF
f
FIGURE 12: Input phase modulation for obtaining the input-output response.
FIGURE 14: Oscillator control voltage
settling.
1,000 VX VX
0.6
0.7
0.8
0.9
0.5
L1
2/3
Q2
L2′
Q2
MC1
L2
CK1
Q3
L1′
B2
L1
MC2
L2′
Third, we perform another set of
pss and pnoise simulations with the
noise of RD
in Figure 12 set to zero,
arriving at the output PN profile due
to the synthesizer itself. The integral
of this profile yields the rms jitter.
First Scaled Loop
We wish to reduce N = 300 by a large
factor to allow fast simulations. But
we must also bear in mind that typical
static PFD designs do not operate
above 5 GHz in 28-nm technology. We
then select N = 8, /. ,
and f == From
K 3008 37 5==
REF
30 83 75 /. .
GHzGHz
the transformation depicted in Figure
8, we have ./
CK 405
15 2pF
1== fF
and C 132 = fF, the latter becoming
comparable to the VCO varactors'
capacitance and hence causing an
error in the value of p3~ . We retain the

IEEE Solid-States Circuits Magazine - Spring 2023

Table of Contents for the Digital Edition of IEEE Solid-States Circuits Magazine - Spring 2023

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