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Transcript
A 0.8V 5.9GHz WIDE TUNING RANGE CMOS VCO USING
INVERSION-MODE BANDSWITCHING VARACTORS
Chung-Yu Wu, Fellow, IEEE
Chi-Yao Yu
Department of Electronics Engineering and Institute of
Electronic
National Chiao Tung University
Hsinchu, Republic of China
Department of Electronics Engineering and Institute of
Electronic
National Chiao Tung University
Hsinchu, Republic of China
Abstract—This paper presents a completely integrated 0.8V
5.9GHz CMOS voltage-controlled oscillator (VCO) with
inversion-mode MOS (IMOS) bandswitching varactors. IMOS
varactors are used to maintain a large tuning range when the
supply voltage is lower than 1V. Moreover, a large resistance
connects to the bulk of each IMOS varactor to further improve
the VCO tuning capability. Through this large resistance, the
tuning range increases by 500MHz. A bandswitching topology
is used to ameliorate the adverse effects of highly sensitive
IMOS varactors. The VCO was simulated with a 0.8V supply
with a tuning range of 29.12% from 4.4 to 5.9 GHz when tuned
from 0 to 0.8V. The simulated phase noise is -109.65dBc/Hz at
1MHz offset from the carrier frequency of 5.52GHz. The
VCO-core power dissipation is 1.2mW. When the supply is
reduced to 0.6V, the tuning range becomes 22.64% from 4.7 to
5.9GHz. The VCO-core dissipates 0.9mW, and the phase noise
is -105.24dBc/Hz at 1MHz offset from the carrier frequency of
5.65GHz. The VCO circuit has been designed using TSMC
0.18-µm CMOS technology with deep n-well processing.
I.
supply voltage is 0.8V, the tuning range of the VCO is
29.12% from 4.4 to 5.9GHz and the phase noise is 109.65dBc/Hz at 1MHz offset from the carrier at 5.52GHz.
The VCO core dissipates 1.2mW of power. When the supply
voltage is reduced to 0.6V, the tuning range of the VCO
becomes 22.64% from 4.7 to 5.9GHz and the phase noise is 105.24dBc/Hz at 1MHz offset from the carrier at 5.65GHz.
In this case, the VCO core consumes only 0.9mW. The VCO
was implemented in TSMC 0.18-µm CMOS technology with
deep n-well processing.
This paper is organized as follows. Section II describes
the passive elements in the VCO circuit. Next, the IMOS
varactors are introduced. Next, the bandswitching topology
is introduced. Finally, the integrated spiral inductor model
used in simulation is described. Section III describes the
design of the proposed VCO. Section IV presents the
simulation results. Finally, the conclusion is drawn in
Section V.
INTRODUCTION
Due to the large parasitic capacitance of bulk CMOS
technology, integrated LC oscillators suffer from a small
frequency tuning range. This problem is even worse when
the supply voltage is lowered due to technology scaling.
Accumulation MOS (AMOS) varactors have been a popular
choice when the tuning voltage is larger than 1V [1]-[4].
However, when the tuning voltage is lower than 1V, the
accumulation MOS (AMOS) varactors cannot achieve their
physical maximum and minimum capacitance. This will
degrade the VCO tuning capability considerably.
To maintain a fine VCO tuning range in the case of low
supply voltages, IMOS varactors are used in this VCO
design because of their natural abrupt gradient of the C-V
curve (capacitance relative to tuning voltage curve). To
improve the tuning capability further, a large resistance
connects to the bulk of each IMOS varactor to isolate the
gate to bulk parasitic capacitance of IMOS from the
oscillatory output port. The simulation results show that
using the new modified IMOS structure, the effective
minimal capacitance (Cmin) is reduced from 775 to 590fF and
the frequency tuning range increases by 500MHz. When the
II.
THE PASSIVES
A.
Inversion-mode MOS Varactors
Figure 1 shows the circuit schematic and equivalent
models of the IMOS varactors used in the VCO design. A
large poly resistance Rs connects the bulk of the NMOS and
the ac ground terminal Vbias. When the terminal DS in Figure
1(a) is biased at the positive end voltage, the IMOS is
operated in the depletion mode and Figure 1(b) shows the
equivalent model. The value of Cparasitic is dominated by the
gate-source and gate-drain overlap capacitance; Cox is the
gate-oxide capacitance and Cdep is the depletion capacitance.
The conductance looking into terminal G in Figure 1(b) is
G dep =
jω (C ox || C d )G s
+ jωC parasitic
jω (C ox || C d ) + G s
(1)
where Gs is the inverse of the resistance of Rs. If Gs is much
smaller than ω(Cox||Cd) and ωCparasitic across the entire
frequency tuning range, then Gdep is approximately equal to
jωCparasitic and the minimum capacitance Cmin can be
estimated by Cparasitic. However, if the bulk is connected
DS (Drain and Source)
Cparasitic
DS
G
Cox
Cdep
Rs
Cparasitic+Cox
1.37p
bulk connects to
ground
Vbias
G
(Gate)
(b)
Capacitance (F)
Cparasitic
DS
Rs = 10k ohm
G
Vbias
Rch/12
Cdep
Rs
Vbias
Cox
(a)
(c)
bulk connects
to Rs
Cparasitic+Cox||Cdep
775f
Figure 1. (a) Circuit schematic of an IMOS varactor with a large bulk
resistor Rs (b) The equivalent model in depletion mode (c) The
equivalent model in inversion mode
185f (Cox||Cdep)
Cparasitic
590f
Vc
220m
Voltage of DS terminal (volt)
0
Rch ≈ L
(
k nW V gs − Vtn
),
(2)
where W and L are the width and length of the MOS
transistor, kn is the gain factor for NMOS transistors, Vgs is
the voltage difference between G and DS, and Vtn is the
threshold voltage of the NMOS transistor. To simplify,
assuming Rs goes to infinite, the conductance looking into
terminal G in Figure 1(c) is
Ginv =
12 jωC ox G ch
+ jωC parasitic
jωC ox + 12G ch
(3)
where Gch is the inverse of the resistance of Rch. From (2),
the ratio of 12Gch/ωCox is larger than 20 at the carrier
frequency from 4 to 6GHz when L is 0.36µm. Thus, the
imaginary part of Ginv is approximately equal to
ω(Cox+Cparasitic) and the maximum capacitance Cmax can be
estimated by Cox+Cparasitic.
The HSPICE simulated C-V characteristics of an IMOS
varactor are shown in Figure 2. The resistance of Rs is set to
10k in this simulation. The voltage of terminal G in figure 1
is set to a fixed voltage, 0.8V, and the voltage of DS is swept
from 0 to 0.8V. The improvement of the Cmax/Cmin ratio using
the modified varactor of Figure 1(a) is close to 25%. It
should be noted that the center voltage Vc in Figure 2 can be
right-shifted by increasing the bulk biased voltage, Vbias in
Figure 1. In the proposed VCO design, Vbias is biased at 0.4V.
B. Bandswitching Varactors
Large varactor sensitivity kv degrades of phase noise
performance L(∆f , k v ) . The effect of kv on phase noise can
be shown by the following equation [1],
800m
Figure 2. C-V curves of IMOS varactors
1.19p
Capacitance (F)
directly to the ac ground (case of infinite Gs), Cmin will
become Cparasitic+Cox||Cdep. Thus, Cmin can be decreased by
Cox||Cdep by using a large resistance Rs in Figure 1(a). When
DS is biased at the negative end, a sheet of electrons
accumulates at the surface of the channel and the IMOS is
operated in the inversion mode. Figure 1(c) shows the
equivalent model. Rch is the channel resistance, which can be
estimated by following equation [5],
535f
-1.8
0.8
0
Voltage of AMOS bulk terminal (volt)
1.8
Figure 3. C-V curves of AMOS varactors
 f

L(∆f , k v ) = 10 log o
 2Q∆f



2
f
FkT 

1 + c
 2Po  ∆f

  k v vn
 + 
  2k CL ∆f




2 
 , (4)


where fo is the carrier frequency, Q is the quality factor,
∆f is the offset frequency from the carrier, F is the noise
factor of the gain element, k is Boltzmann’s constant, T is the
flicker noise corner frequency, and kCL is a function of C and
L in the resonator. If the required tuning range is large, a
bandswitching topology is suggested to reduce varactor
sensitivity kv [1]. However, Figure 3 shows the C-V
characteristics of an AMOS varactor with the same size and
bias condition as the IMOS varactor simulated in Figure 2.
AMOS cannot be fully switched when tuned from 0 to 0.8V.
Thus, there is no benefit to implement bandswitching
topology with AMOS varactors to reduce kv with low tuning
voltage. On the other hand, from Figure 2, the gradient of
the IMOS C-V curve is relatively small when the voltage of
DS is 0 or 0.8V. This means that kv is also relatively small at
0 and 0.8V. It makes sense using IMOS as on/off only
varactors in a bandswitching topology to improve phase
noise performance with low supply voltages.
Ct
Ls1
Rs1
p3
Cox1
Csub1
Rs2
Rsub3
p2
Rsub2
Csub2
500MHz
5.6
Cox2
Cox3
Rsub1 Csub3
5.8
Ls2
Frequency (GHz)
p1
bulk connects to Rs
bulk connects to ground
6.0
Figure 4. Layout and equivalent model of spiral inductor
5.4
5.2
5.0
4.8
4.6
4.4
VDD
Vo+
4Cv/3
4.2
4Cv/3
0.2
0.4
0.6
0.8
Tuned Voltage (volt)
Vo-
Figure 6. Tuning range of VCO without bandswitching
Cv
Vc2
Cv
Cv
Vc3
Cv
Idc
Figure 5. VCO schematic
C. Spiral Inuctor
Figure 4 is the layout and equivalent model of the spiral
inductor. The spiral inductor is implanted using the thick top
metal and the inner radius is 80µm. A symmetrical
architecture with center tapping is used to save chip area.
ADS Momentum is used for simulation. The two-turn
inductor provides 1.55nH of inductance, and the quality
factor is from 9.5 to 11 across the entire tuning range.
VCO DESIGN
The VCO was designed in TSMC 0.18µm CMOS
technology. Figure 5 shows the circuit schematic for the
VCO. It is an LC cross-coupled VCO with nMOS latch to
generate negative resistance. The current source Idc draws
1.5mA. The bandswitching IMOS varactor array consists of
one continuous tuning varactor controlled by tuning voltage
Vc1 and two on/off only digital switching varactors
controlled by Vc2 and Vc3. Gate terminals (G in Figure 1) of
each IMOS connect to the oscillatory outputs (Vo+ and Vo- in
Figure 5) and the drain and source terminals (DS in Figure 1)
connects to the tuning ports (Vc1 to Vc3 in Figure 5). The C-V
curve of the three varactors on each side was shown in
Figure 2.
Frequency (GHz)
Vc1
III.
0.0
Vc2 = Vc3 = 0V
Vc2 = 0.8V Vc3 =0V
Vc2 = Vc3 = 0.8V
5.9
5.8
5.7
5.6
5.5
5.4
5.3
5.2
5.1
5.0
4.9
4.8
4.7
4.6
4.5
4.4
0.0
0.2
0.4
0.6
0.8
Tuned voltage Vc1 (volt)
Figure 7. Tuning range of bandswitching VCO
IV.
SIMULATION RESULTS
The VCO circuit in Figure 5 is simulated with a 0.8V
supply. Figure 6 shows the tuning characteristics of the VCO
when Vc1, Vc2 and Vc3 are connected together and tuned from
0 to 0.8V. From the simulation results shown in Figure 6, the
frequency tuning range can be improved by 500MHz (50%,
from 1 to 1.5GHz) through the large resistance Rs connected
to the IMOS bulk. Figure 7 shows the tuning range of the
VCO with the bandswitching IMOS varactor array
mentioned before. The carrier frequency can be tuned
between 4.4 to 5.9GHz, achieving 29.12% tuning range with
the center frequency at 5.15GHz. Figure 8 shows the phase
noise simulation result when the VCO operates at a carrier
frequency 5.52GHz. It has -88.01dBc/Hz at 100KHz offset
and -109.65dBc/Hz at 1MHz offset. The phase noise is
simulated when Vc1 is 0.3V and Vc2 and Vc3 are 0.8V. When
the supply voltage is reduced to 0.6V, the tuning range
becomes 22.64% from 4.7 to 5.9GHz. The phase noise is
81.52dBc/Hz at 100KHz offset and -105.24dBc/Hz at 1MHz
offset from the carrier at 5.65GHz.
TABLE I.
VCO PERFORMANCE SUMMARY
Process
Supply voltage
0.8V
0.6V
Frequency
4.4 – 5.9GHz
4.7 – 5.9GHz
Tuning range
29.12%
22.64%
Power dissipation
1.2mW
0.9mW
Phase Noise @ 100k
-88.01dBc/Hz
-81.52dBc/Hz
Phase Noise @ 1M
-109.65dBc/Hz
-105.24dBc/Hz
FOM
-184dBc/Hz
-180.9dBc/Hz
TABLE II.
Figure 8. Phase noise simulation results
A widely used figure of merit (FOM) to make
comparisons between different VCOs is defined as
 f
FOM = L{∆f } − 20 log o
 ∆f

 P 
 + 10 log

 1mW 

(5)
where L{∆f } is the phase noise at ∆f offset from the carrier
at f o and P is the power dissipation of the VCO-core. The
FOM is this design is -183.65dBc/Hz at 5.52GHz at a 0.8V
supply voltage. When the supply voltage is reduced to 0.6V,
the FOM becomes -180.74dBc/Hz at 5.65GHz.
Table 1 summarizes the performance of the proposed
VCO while Table 2 provides a comparison with some
recently published VCOs. It can be seen that the proposed
VCO has good tuning capability even if the tuned voltage is
lower than 1V.
V.
fo
[GHz]
Tuning
Range
VDD
[V]
P
[mW]
L{1MHx}
[dBc/Hz]
[dBc/Hz]
Technology,
Var. type
[1]
3.065
5.612
58.7%
(1.4V)
1V
3.0
2.0
-120.8
@3.065G
-185.6
-186.6
0.13µm SOI
CMOS, AMOS
[3]
4.2
5.05
18%
(2.5V)
2.5V
13.8
-114
@5G
-176.6
0.25µm CMOS,
AMOS
[6]
5.87
4.73
21.5%
(4V)
2V
4
-106
@5G
-173.96
0.25µm CMOS
[7]
1.8
2.45
26.5%
(4V)
2V
2
-125
@1.9G
-187.6
0.35 µm CMOS,
AMOS
[8]
5.51
6.53
16.8%
(1.5V)
1.5V
18
-98.4
@6.29G
-161.82
0.35 µm CMOS,
No Var.
4.4
5.9
29.12%
(0.8V)
0.8V
1.2
-109.65
@5.52G
-183.65
4.7
5.9
22.64%
(0.6V)
0.18 µm CMOS,
IMOS
0.9
-105.24
@5.65G
-180.74
(simulation result)
This
work
0.6V
FOM
REFERENCES
[1]
CONCLUSION
[3]
[4]
[5]
[6]
ACKNOWLEDGEMENT
C. Y. Yu would like to thank M. P. Houlgate, T. W. Yu,
C. Y. Chou, S. Wang, and H. Y. Su for their advice and
thank National Chip Implementation Center (CIC) for
technical support.
VCO PERFOMANCE COMPARISON
Ref.
[2]
A 0.8V 5.9GHz fully-integrated cross-coupled LC VCO
is presented. IMOS varactors with large bulk resistance are
used to achieve 29.12% frequency tuning range. To correct
for the adverse effects of IMOS varactors caused by high
sensitivity, the bandswitching topology is used. When the
supply voltage is reduced to 0.6V, the proposed VCO still
has 22.64% frequency tuning range. Therefore, the proposed
IMOS varactors provide a solution to maintain the VCO
frequency tuning capability when the supply voltage is lower
than 1V.
TSMC 0.18µm CMOS
[7]
[8]
Neric H. W. Fong, J. O. Plouchart, N. Zamdmer, D. Liu, Lawrence F.
Wagner, C. Plett, and N. G. Tarr, “Design of Wind-Band CMOS
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P. Andreani and S. Mattisson, “On the Use of MOS Varactors in RF
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