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Transcript
A 434 MHz Low Power Quadrature PLL in 0.35-μm SOI
CMOS
AHMET TEKIN, ERTAN ZENCIR, DOUGLAS HUANG, NUMAN S. DOGAN
Department of Electrical Engineering
North Carolina A&T State University
551 McNair Hall, 1601 E. Market St
Greensboro, North Carolina 27411
USA
Abstract: - A 434-MHz low-power, fully-integrated, type-2 4th-order quadrature phase locked loop
(PLL) was designed and simulated in a 0.35 μm Silicon-on-Insulator (SOI) CMOS process. A VCO
operating at 868 MHz and a fast master-slave D-flip-flop divide-by-2 circuit were used to generate
the desired quadrature signals at 434 MHz. The total power consumption of the PLL is 18.4 mW
from a 2.5-V supply, including the bandgap bias circuit and the buffers driving the mixers.
Key-Words: - SOI, CMOS, VCO, PLL, Phase Locked Loop.
1. Introduction
PLL’s have become common building
blocks for a range of different applications
such as clock drivers, clock recovery circuits,
frequency
modulators,
and
frequency
synthesizers. With the introduction of new
applications, designers have been focusing on
different architectures and different trade-offs
in PLL designs to satisfy the requirements of
the emerging applications with low cost and
low power [3]-[10].
The goal of this work is to generate
quadrature LO signals at 434 MHz for a single
channel communication system that requires
low power dissipation. Master-slave frequency
division technique is used for quadrature LO
signal generation. This requires the VCO to be
designed at 2f0. In order to have a successful
fast frequency division, buffers should be
inserted after the divider to drive the mixers.
The design was fully integrated in 0.35-μm
Silicon-On- Insulator (SOI) CMOS process,
which enables the integration of low parasitic
active and passive components [1].
The paper is organized as follows. In
section 2, the PLL architecture is presented.
Section 3 presents the main building blocks of
the PLL. Simulation results are presented in
section 4. Layout is discussed in section 5 and
section 6 is the conclusion.
2. PLL Architecture
The most common ways to generate
quadrature outputs are: (i) poly-phase filters,
(ii) two cross coupled VCO’s, and (iii) VCOfrequency divider configuration [2].
In case of an RC poly-phase filter, the
losses associated with the RC network would
necessitate the use of large buffers to drive the
mixers with the desired linearity. These buffers
generally consume large power. Moreover,
mismatches between the integrated R-C
component values would result in unacceptable
phase errors.
Cross-coupled LC VCO solution for an
oscillation frequency of 434 MHz has serious
drawbacks. To sustain the oscillation with a
reasonable level of phase noise with relatively
large passive components, the design should
consume considerable amounts of power. This
power is doubled with the requirement of two
VCO’s for this architecture. The area required
would also double for the same reason.
Best way to generate quadrature outputs at
434 MHz is to have a VCO frequency of 868
MHz. A fast master-slave divide-by-2 circuit is
used to generate quadrature outputs at 434
MHz. The block diagram of the design is given
in Fig. 1. Two differential buffers are inserted
after divide-by-2 operation not to load this
divider circuit and to be able to drive the mixer
for a greater linearity.
Fractional-N architecture has been chosen
for further division. Output of the divide-by128/129 prescaler circuit is compared with A
3.39 MHz reference frequency. Thus the
reference spurs remain out of 1 MHz channel
bandwith of the application.
Fref
PFD
CP
UP-DOWN DELAYS
128/129 PRESCALER
MODE
LF
DIVIDE-BY-2
VCO
BUFF
BUFF
I
Q
Fig.1. Block diagram of the PLL
M6
High resistivity substrate and buried-oxide
layer in SOI provide high-Q on-chip spiral
inductors. This in return reduces power
requirement and phase noise of the VCO. The
Q value of these 16.9-nH inductors is 7.5 at
868 MHz. This value was calculated from the
π-model circuit parameters extracted from the
measured s-parameters. The VCO consumes 5
mW from a 2.5-V supply.
3.2 Fast Master-Slave Divide-by-2
A common topology was used for fast
divide-by-2 operation [3] [4]. Block diagram of
the divider and the schematic of DFF used in
the design are given in Fig. 3. In this design
M3 and M4 would not allow a large voltage
drop at the drains of M1 and M2, which
otherwise would push M11 into triode region
in case of a large VCO output driving this
stage. Transistor sizes have been arranged to
achieve successful division with minimum
power consumption. Total power consumption
of the circuit is 1.6 mW.
M5
M1
Vbp
M4
M3
-
V out
M5
D1
D2
+
V out
vctr
M1
M2
C+
M3
M9
Vbn
vco+
Q-vco-
M10
3. Building Blocks
3.1 868 MHz VCO
Fig. 2 shows the VCO topology used in the
design. Both n-MOS and p-MOS crosscoupled pairs are used to have double
amplification [2]. On-chip spiral inductors with
the value of 16.9 nH resonate with 1pF p+/nwell varactor diodes and other parasitic
capacitances to yield 868 MHz oscillation
frequency. The gain of the VCO is 85 MHz/V.
M8
C-
D+ c+ c- Q+D+c+ c- Q+
D-M-DFF Q- D- S-DFF Q-
M11
(a)
Fig.2. Schematic of the VCO-core
M4
Q+
M6
D- M7
D+
2L
Iref
M2
I
Q
(b)
Fig.3. (a) Fast D-FF schematic (b) MasterSlave Divide-by-2
3.3 Mixer Buffers
In order not to load the divider circuit with
the large gates of the mixer input transistors,
two buffers are inserted. These buffers are
simple differential pairs with diode connected
load transistors. Each consuming 1.25 mW,
these buffers can drive the mixers with 0.5 V
swing. To facilitate testing and measurements,
these buffers were resized to be able to drive
50-Ω loads.
3.4 Prescaler
A 128/129 dual-modulus prescaler follows
the fast divide-by-2 circuit. It is inconvenient
to use phase select architecture in the design of
this block due to the deep spikes observed
during the phase switching action in
simulations. This is mainly due to the
relatively low input frequency of 434 MHz into
the prescaler [3].
Circuit shown in Fig. 4 is used for the
prescalar [5]. Design incorporates a
synchronous divide-by-4/5 circuit followed by
asynchronous divide-by-32 circuit. Because
this architecture does not employ high power
demanding parts such as quadrature generator
and phase switching amplifiers as in the case
of phase select architecture, it consumes less
power. This block consumes total of 4.7 mW
power. The schematic of the D-flip-flop used
in the design is given in Fig. 5. Proper function
of this circuit at 435 MHz frequency has been
verified in simulations. It does not have any
discharge or spike problems as suggested by
[5]. The transistors of DFF’s employed in
divide-by-4/5 circuit are twice as large as those
used in low frequency divide-by-32 circuit.
Prescaler input and output waveforms from
closed-loop simulations are given in Fig. 9.
Synchronous Divide-by-4/5
Q+
D DFF Q+ D DFF
QQC
C
FIN
D DFF Q+
Q-
C
MODE
QFOUT
D DFF Q- D DFF
D DFF Q- D DFF Q- D DFF Q-
C
Q+
C
Q+
C
Q+
C
Q+
Asynchronous Divide-by-32
Fig.4. 128/129 Prescaler Schematic
C
Q+
C
D
Q
Q-
Fig.5. D-FF Schematic used in Prescaler
3.5 PFD-CP
As the phase-frequency detector (PFD), a
configuration of two resetable DFF’s and a
NAND gate with an inverter chain was used.
With both outputs of flip-flops rising high,
reset signal is pulled high to reset both flipflops [6]. Reset signal is delayed to avoid the
dead zone problem. The circuit schematic of
PFD is given in Fig. 6(a).
Fig. 6(b) shows the charge-pump (CP)
circuit [4] [7]. Here at high impedance state, up
and down source currents are diverted to M2
and M8 respectively to keep the source
transistors in conduction. Very small currents
supplied by M5 and M11 charges all of the
neighboring nodes and leaves M1 and M7
ready to conduct. Delays of up and down
control signals of the charge pump arranged in
a way that M2 and M8 do not close until M1
and M7 begin to conduct. Therefore, CP can
respond to very small up and down pulses
more precisely. This would improve the
spurious
performance
of
the
PLL.
M5
M3
Fref
UPDW
M6
Fdiv UP+
M4
UPM1
Is
M2
Ipump
R2
Is
Ipump
DW-
C1 C2
DW+
M7
M8
M9
M10
M11
(a)
C3
R1
LF
VBG  VD2  AGVD
Fig.6. (a) PFD schematic (b) CP and loop filter
schematic.
Matching the up and down currents is also
an important aspect of the CP design. If these
currents are not matched, the loop will settle to
a small phase offset to compensate this current
mismatch. In the steady state, the net charge
injected will be zero, but since the current
pulses are not equal, reference spikes will
appear at the output [3]. For this reason, a
bandgap based constant current bias circuit is
used to supply stable and equal currents with
very low temperature coefficients for up and
down branches.
Bandgap Core
M26M8
M27 M28
Buffer
M9
CC
M21
RC
M12 M13
Vbuf
M10
M22
M25
M23
Idif1
Idif2
M1 M2
M3
RX
IB
RY
M4
.
M24
D1
D2
Iref
VBG
Rbuf
M6
(1)
M12
(b)
Bandgap Core
Start-up
differential pair is forced to show up across the
other pair by mirroring their supply currents
via M6, M7, M8 and M9 [9]. By sizing the
transistors
in
differential
pairs
as
WM 1 WM 3  WM 2 WM 4  A and arranging the
currents to be Idiff2 = GIdiff1, this voltage
difference can be weighted to obtain an
output voltage of
M7
M11
Buffer Start-up
Fig.7. Constant-current bias circuit
3.6 Bandgap Based Constant Current
Bias Circuit
As shown in Fig.7, the reference voltage
generated by the bandgap core which is
arranged to give zero temperature coefficients
around room temperature is buffered across a
15 KΩ resistor to yield a constant current. In
the bandgap core the difference between the
diode voltages VD1 and VD2 across the first
A and G values could be chosen appropriately
to yield zero temperature coefficients in VBG
around room temperatures. Transistors M21M25 serve as start-up for the bandgap core.
In the second stage, the reference voltage
VBG is forced across off-chip buffer resistor Rbuf
via buffer op-amp to yield constant current. In
addition to being mirrored to the PLL blocks
with required ratios, this generated reference
current is also used back to bias the amplifier
itself via M11. Due to this self biasing feature,
this stage also needs a start-up. M10 does this
function by taking its gate input from bandgap
reference which is assured to start-up.
3.7 Loop Filter
As shown in Fig. 6(b), the filter used here
is a third order one which makes the loop
fourth order. Third order and fourth order
loops with the same crossover frequency have
very close phase margins and settling times.
The additional pole of fourth order PLL
located at the vicinity of third order pole would
enhance the spurious performance without
reducing the crossover frequency [8]. For the
loop characterization, the maximum phase
margin that can be achieved depends largely on
the capacitor ratio b  C1 (C 2  C3) as follows.
PM
m ax
 tan 1 ( 1  b )  tan 1 (1 1  b )
(2)
This equation can be derived by taking the
derivative of phase margin equation obtained
from open loop transfer function with respect
to crossover frequency of the loop, ωc [8]. The
value of ωc for this maximum phase margin is
related to τ by
c  1  b 
(3)
where   R1C1. When we write down ωc in
terms of loop parameters (from open loop
transfer function), the following equation
should be satisfied.
IP  KVCO b
C1

 2  b  1.
2  N b  1 
(4)
Here IP is the charge-pump current, KVCO is
the VCO gain and N is the frequency division
ratio. For our design, since stability is the most
important concern, the value of b has been
chosen to be 14. Maximum phase margin for
this b value is 61˚ (eq. 2). Considering the
space budget of the PLL, ωc was selected to be
75 KHz. Using (3), the loop zero is located
four orders in magnitude to the left of ωc. The
value of R1 is chosen to be 55.3 KΩ. The C1
value is arranged to be 192 pF, a value larger
than the required to further ensure the stability.
Using (4), for the given VCO gain of 85
MHz/V, the charge-pump current required is
26 μA. From given b value, C2 and C3 values
were selected as 8 pF and 7 pF, respectively. A
value of 47.6 KΩ for R2 would put the fourth
pole 1.5 orders in magnitude to the right of the
third order pole.
Fig.9. Prescaler input and output
Fig.10. Settling of control voltage from 1.2 V
initial value
4. Simulations
5. Layout
Closed-loop simulations of the PLL are
done in SpectreRF. Fig. 8 shows the quadrature
signals at the buffer outputs with 300 fF load
capacitance. Prescaler input-output waveforms
are given in Fig. 9. Settling of the control
voltage from a 1.2-V initial value is given in
Fig. 10. Despite the very large value of C1, one
can still distinguish reference spikes
modulating the control voltage.
Layout of the PLL is shown in Fig. 11.
Almost half of the chip area is occupied by the
loop filter, located at the right hand side of the
layout. VCO sits at the left hand side of the
layout with two 16.9-nH on-chip spiral
inductors. Both available metal layers are used
to reduce the series resistance of the coils.
Output buffers are resized to drive 50-Ω loads
for the measurement purposes and they
consume 5 mW power from a separate supply
pad. On-chip decoupling capacitors are
inserted between Vdd and GND pads. Input
pads leading to the gates of the transistors in
the design are coupled by ESD diodes. Total
chip area is 1.2 mm x 1.6 mm.
Fig.8. Quadrature output signals after the buffers
Fig.11. Layout of the PLL
6. Conclusion
The selection of optimum architectures for
quadrature generation, 128/129 dual modulus
division and charge-pump for the given single
channel wireless application has been
discussed. A 434-MHz 18.4-mW quadrature
output PLL has been introduced in 0.35-μm
Silicon on Insulator (SOI) CMOS process.
Low parasitic nature of the process has been
utilized to achieve better VCO performance in
terms of power and phase noise.
References:
[1]
E.Zencir, N.S. Dogan, E. Arvas,
“Modeling and performance of spiral
inductors in SOI CMOS technology,”
IEEE Canadian Conference on Electrical
and Computer Engineering, pp. 408-411,
May 2002.
[2] H. Hegazi, K. Sharaf, H.F. Ragai, “A
comparative study of CMOS-based
quadrature
integrated
LC
VCO
topologies,” 45th Midwest Symposium on
Circuits and Systems, vol.1, pp.I-336-9,
Aug. 2002.
[3] J. Craninckx, M. Steyaert, Wireless CMOS
Frequency Synthesizer Design, Kluwer
Academic Publishers, 1998.
[4] James F. Parker, Daniel Ray, “A 1.6-GHz
CMOS PLL with on-chip loop filter,”
IEEE Journal of Solid State Circuits,
vol.33, no.3, pp.337-343, March 1998.
[5] R. Rogenmoser, Q. Huang, F. Piazza, “1.57
GHz asynchronous and 1.4 GHz dualmodulus 1.2 μm CMOS prescalers,” IEEE
Custom Integrated Circuits Conference,
pp. 387-390, May 1994.
[6] Jafar Savoj, Behzad Razavi, High-Speed
CMOS Circuits for Optical Receivers,
Kluwer Academic Publishers, 2001.
[7] Andreas Lehner, Robert Weigel, Dieter
Sewald, Ali Hajimiri, “Design of a novel
low-power 4th-order 1.7 GHz CMOS
frequency synthesizer for DCS-1800,”
IEEE International Symposium on Circuits
and Systems, pp.637-640, May 2000.
[8] Hamid R. Rategh, Thomas H. Lee, MultiGHz Frequency Synthesis & Division,
Kluwer Academic Publishers, 2001.
[9] Arne E. Buck, Charles L. McDonald,
Stephen H. Lewis, T.R. Viswanathan, “A
CMOS bandgap reference without
resistors,” ISSCC Dig. Tech. Papers, pp.
442-443,475, Feb. 2000.