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Transcript
1
An inductorless wideband LNA with a new noise cancelling
2
technique
3
4
Pouria Pazhouhesh MOGHADAM1 and Adib ABRISHAMIFAR2
5
Department of Electrical Engineering
6
Iran University of Science and Technology
7
Narmak, Tehran, 16844, Iran
8
9
1
[email protected]
2
[email protected]
10
11
12
Abstract
13
An inductorless wideband low-noise amplifier (LNA) employing a new noise
14
cancelling technique for multi-standard applications is presented. The main
15
amplifier has a cascode common gate structure which provides good input
16
impedance matching and isolation. The proposed noise cancelling technique not
17
only improves the noise figure and power gain but also embeds gm-boosting
18
technique in itself which reduces the power consumption of the main amplifier.
19
Using current-steering and current-reuse techniques in the noise cancelling branch
20
makes the design realizable and low power. The proposed LNA is simulated and
21
optimized in 0.13 μm CMOS technology. The LNA achieves the noise figure of
22
2.8-3.4 dB, power gain of 19.2 dB and input impedance matching better than -10.5
1
1
dB over bandwidth of 0.04-4.6 GHz. It consumes only 8.5 mW from 1.2 V supply
2
voltage which makes it a low power LNA.
3
Keywords: Current reuse technique; Gm-boosting technique; Low power LNA;
4
Noise cancelling technique.
5
1.
Introduction
6
Fast growth of wireless technology has led to appearance of various new communication
7
standards which accommodate different applications at distinctive frequency bands such as
8
terrestrial digital (450-850 MHz) video broadcasting, satellite communications (950-2150
9
MHz), global positioning systems (GPS) at 1.2 GHz and 1.575 GHz, and cellular radios
10
(850-1900 MHz) [1-2]. Accordingly, Software Defined Radio (SDR) and multi-band/multi-
11
standard radio receivers are considered as future radios. One of the main blocks of these
12
receivers is LNA at the front-end which has to provide high gain while introducing the least
13
noise. One approach to implement multiband receivers is to utilize multiple narrowband
14
front-ends which is in contrast to single wideband front-end, the alternative approach, in
15
terms of area, power and cost. Besides this, single ended input LNAs are preferred to save
16
I/O pins and because antennas and RF filters usually produce single ended signals [3].
17
Among different topologies for realization of wideband LNAs, the ones with noise
18
cancelling technique are very popular as the trade-off between noise figure and input
19
impedance matching is alleviated [4-6]. The main structures proposed for this, are shunt
20
resistive feedback and common gate LNAs. In the former, the resistive feedback reduces
21
the input impedance providing input matching while in the latter, the wideband
22
transconductance of the common gate amplifier is used for input matching.
2
1
The main idea of the noise cancelling technique is to use two nodes with in-phase signal
2
voltages and out of phase noise voltages or vice versa and add them at the output by the use
3
of auxiliary amplifier(s) in a way that noise is cancelled but signal amplified. Whereas the
4
shunt resistive feedback and CG LNAs are not the only implementations of the noise
5
cancelling technique, a new noise cancelling technique based on the cascode common gate
6
structure is proposed. The proposed LNA achieves a low noise figure, high gain and low
7
power consumption while other parameters are kept within acceptable range.
8
The paper is organized as follows: in section 2, the proposed wideband LNA is
9
presented. Explaining the new noise cancelling technique, the detailed analysis of gain,
10
input impedance and noise figure is addressed. In section 3, the designed LNA and
11
simulation results are presented. Finally, conclusions are drawn in section 4.
12
2.
13
2.1. The proposed noise cancelling technique
The Proposed LNA
14
Figure 1(a) shows a conventional cascode common gate LNA. The gain transistor, M1,
15
develops the LNA’s gain while the cascode transistor, M2, improves its output impedance,
16
bandwidth, and particularly its isolation. M1’s dominant noise contributor, its channel
17
thermal noise, is modeled by a noise current source connected between its drain and source
18
nodes. Investigating the signal and noise voltage polarities on the source and drain nodes of
19
M1, it is observed that the signal voltages are in-phase while the noise ones shows 180º
20
phase shift. So, if the amplified source voltage of M1 is turned back to the M2’s gate with
21
180º phase shift, M2’s gate-source experiences a cancelled noise voltage but amplified
3
1
signal one which is the main idea of the proposed LNA shown in Figure 1(b).
2
Consequently, the M1’s noise is cancelled at the output.
Considering the LNA shown in Figure 1(b), the noise cancelling condition is found to
3
4
be:
v s 1,n . Av  v d 1,n
5
(1)
6
where vs1,n and vd1,n are M1’s source and drain voltages, respectively. Because of the
7
negative feedback loop, increasing gain Av causes vs1,n to decrease but vd1,n to increase.
8
Then, for complete noise cancelling, the gain Av have to be chosen very high that is not
9
practical. However, a moderate value of Av still leads to significant noise cancellation.
10
2.2. Gain
11
Implementing the gain stage -Av by a common source structure, as shown in Figure 2(a),
12
the voltage gain of the LNA, Gv, at frequencies well below fT is obtained by considering its
13
small signal equivalent circuit shown in Figure 2(b):
Gv 
14

15
16
17
18
g m 3 . 1  g m 1.ro 1  g m 2 .R1 
v out

 RL
vs
1  g m 3 .  ro 1  R s . 1  g m 1.ro 1  g m 2 .R1  
(2)
1
 RL
ro 1 1  g m 1.ro 1  g m 2 .R1   R s
It is observed that increasing gm2.R1 improves Gv.
Replacing the input source with Norton equivalent, the input impedance is calculated as
follows:
Z in 
1
1

g m1  g m 2 .  R 1 ro1   1 ro1 g m1  g m2 .  R 1 ro1 
4
(3)
1
Where it is assumed that ro1 >> 1. Appearance of gm2 in the denominator of Zin, denotes that
2
the proposed LNA embeds gm-boosting technique in itself contributing to its low power
3
design.
4
2.3. Noise analysis
5
The noise equivalent circuit of the LNA is shown in Figure 3. Considering the channel
6
thermal noise of the M1 as its dominant noise contributor and using finger digitized gate
7
structure, the noise figure of the LNA is found to be approximately:
F  1  FM 1  FM 2  FR 2  FR L  1  (
8
(
R1

)2 .

1  g m 1.ro 1  g m 2 .R1 R s .R L
ro 1
 .g m 1
R1
 .g m 2
)2 .
(
)2 .
1  g m 1.ro 1  g m 2 .R1
Rs
1  g m 1.ro 1  g m 2 .R1
Rs

1  g m 3 .  ro 1  R s .1  g m 1.ro 1  g m 2 .R1 
g
2
m3
.R L .R s . 1  g m 1.ro 1  g m 2 .R1 

2
(4)
2
9
It is observed that the appearance of gm2.R1 term in the denominator of FM1 reduces M1’s
10
noise contribution at the output. Although further increase of gm2.R1 reduces FM1 more but
11
M2’s noise contribution increases as FM2 term shows. Then, there is a tradeoff between FM1
12
and FM2 which can be removed by proper selection of R1 and increasing gm2 but this leads
13
to more power consumption of the LNA. In addition, increasing gm1 can also contribute to
14
further reduction of FM1 and FM2. Even though increasing gm1 and gm2 improves the circuit
15
noise performance, according to (3), the input impedance is degraded and, consequently,
16
gm1 and gm2 cannot be increased arbitrarily.
17
In order to gain insight into circuit design and proper selection of different parameters, it
18
is helpful to draw the contour curves of S11 and NF (NF = 10log (F)) in respect with gm2
5
1
and R1 and address the effect of gm1 variation on them. Furthermore, these plots help to
2
better understand the interaction between S11 and NF.
3
In Figure 4 the contour curves of S11 and NF for two values of gm1 (gm1 = 5 mA/V and
4
gm1 = 25 mA/V) were plotted. The goal is to address the effect of gm1 increase. As it is
5
inferred, the turn-around point of contours move roughly on the line R1 = gm2 towards the
6
origin of the coordinate system as gm1 increases. The contour curves of S11 move faster than
7
the ones of NF which means gm1 variations affects S11 more than NF. Then, this causes that
8
good input impedance matching is obtained for larger value of NF. On the other hand, large
9
gm1 is provided by high bias current of transistor M1 which restricts the design to the
10
selection of a low value for the load resistor and then, the gain of the circuit degrades.
11
Moreover, choosing gm1 very low causes the desired input impedance matching and low NF
12
to be obtained for high values of gm2 and R1 that the former increases the power
13
consumption and the latter makes the circuit design challenging from the bias point of
14
view. Thus, selecting a mean value for gm1 (10 mA/V < gm1 < 15 mA/V) not only facilitates
15
the circuit design but also leads to proper circuit performance.
16
2.4. Gain Stage (-Av) Design
17
Low noise design of the LNA demands large R1 and gm2. High gm2 corresponds to high
18
current consumption. Choosing large values for I2 and R1 leads to a large voltage drop on
19
R1 and, consequently, the LNA needs a high supply voltage for proper performance.
20
Besides this, high current degrades the output resistance of the noise cancelling branch
21
transistor and makes it difficult to use a large R1. Using cascode structure along with
22
current steering technique can alleviate these problems and makes the use of large R1 and
6
1
lower supply voltage possible. Furthermore, adding current reuse technique to current
2
steering one reduces the power consumption of the LNA significantly.
3
3.
LNA Design and Simulation
4
Figure 5 shows the complete schematic of the proposed LNA. A single Vdd = 1.2 V
5
supply voltage and MIM capacitors for ac-coupling were used. A buffer stage was used at
6
the output of the LNA for impedance matching.
7
The circuit was simulated in TSMC RF CMOS 0.13 μm with ADS. Using RF transistors in
8
the circuit implementation, the minimum length of channel (lr = 0.13 μm) and finger width
9
of 2 μm is chosen for gate resistance thermal noise reduction and bandwidth enhancement.
10
Using genetic algorithm optimization tools in ADS, the LNA was optimized simultaneously
11
for the least NF and S11 over the -3 dB bandwidth while keeping other parameters value in
12
an acceptable range. As Figure 6 shows, the highest gain of LNA is 19.2 dB in the
13
bandwidth of 0.04 – 4.6 GHz and the input impedance matching, S11, is lower than -10 dB
14
(Figure 7). If the noise performance of the proposed LNA is compared with the one without
15
noise cancelling (Figure 8), the effectiveness of the new noise cancelling technique is
16
proved and the noise figure reaches to the minimum of 2.8 dB. Due to the cascode
17
structure, the isolation of lower than -50 dB (Figure 7) is observed which will be about 5 to
18
10 dB worse but still very high in practice. The simulated value of IIP3 at 1.9 GHz is -13
19
dBm as shown in Figure 9 and -8 dBm and -14 dBm at 0.5 GHz and 4.5 GHz, respectively.
20
In the table shown, the simulated results are compared with previously reported ones. The
21
proposed LNA achieves high gain, very low noise figure over a wide bandwidth while the
22
power consumption is just 8.5 mW.
7
1
4.
Conclusion
2
Based on the cascode common gate structure, a new noise cancelling technique for
3
multi-standard wideband LNA design was presented in this paper. The proposed LNA was
4
analyzed in detail which shows significant improvement of noise figure and gain.
5
Simulated in 0.13 μm CMOS technology, the LNA achieves the noise figure of 2.8-3.4 dB,
6
power gain of 19.2 dB and input impedance matching better than -10.5 dB over bandwidth
7
of 0.04-4.6 GHz. The IIP3 at 1.9 GHz is -13 dBm and the LNA consumes only 8.5 mW
8
which makes it a low power LNA.
9
References
10
[1]
exploiting thermal noise canceling. IEEE J Solid-St Circ 2004; 39: 275-282.
11
12
Bruccoleri F, Klumperink EAM, Nauta B. Wide-band CMOS low-noise amplifier
[2]
El-Nozahi M, A. Helmy A, Sánchez-Sinencio E, Entesari K. An inductor-less noise-
13
cancelling broadband low noise amplifier with composite transistor pair in 90 nm
14
CMOS technology. IEEE J Solid-St Circ 2011; 46: 1111-1122.
15
[3]
gain flatness enhancement. IEEE J Solid-St Circ 2010; 45: 502-509.
16
17
Yu YH, Yang YS, Chen YJE. A compact wideband CMOS low noise amplifier with
[4]
Chen WH, Liu G, Zdravko B, Niknejad AM. A highly linear broadband CMOS
18
LNA employing noise and distortion cancellation. IEEE J Solid-St Circ 2008; 43:
19
1164-1176.
20
21
[5]
Liao CF, Liu SI. A broadband noise-canceling CMOS LNA for 3.1–10.6-GHz
UWB receivers. IEEE J Solid-St Circ 2007; 42: 329–339.
8
1
[6]
Wang H, Zhang L, Yu Z. A wideband inductorless LNA with local feedback and
2
noise cancelling for low-power low-voltage applications. IEEE T Circuits S-I 2010;
3
57: 1993-2005.
4
[7]
Blaakmeer SC, Klumperink EAM, Leenaerts DMW, Nauta B. Wideband balun-
5
LNA with simultaneous output balancing, noise-canceling and distortion-canceling.
6
IEEE J Solid-St Circ 2008; 43:1341–1350.
7
[8]
Bruccoleri F, Klumperink EAM, Nauta B. Noise cancelling in wideband CMOS
8
LNAs. IEEE 2002 International Solid-State Circuits Conference; 3-7 February
9
2002; San Francisco, CA, USA: IEEE. pp. 406-407.
10
11
Figure 1. (a) Conventional cascode common gate LNA (b) The proposed LNA with noise
12
cancelling technique
9
1
2
Figure 2. (a) The proposed LNA (b) Its small signal equivalent circuit
3
4
Figure 3. The proposed LNA’s noise equivalent circuit
10
1
(a)
2
3
(b)
4
5
Figure 4. (a) The Contour curves of NF for gm1 = 5 mA/V (b) The Contour
6
curves of NF for gm1 = 25 mA/V (ro1 = 1500 Ω, gm3 = 10 mA/V, RS = 50 Ω,
7
RL = 550 Ω, γ = 2/3)
11
1
(c)
2
3
(d)
4
5
Figure 4. (Continued) (c) The Contour curves of S11 for gm1 = 5 mA/V (d) The
6
Contour curves of S11 for gm1 = 25 mA/V (ro1 = 1500 Ω, gm3 = 10 mA/V,
7
RS = 50 Ω, RL = 550 Ω, γ = 2/3)
12
1
2
Figure 5. The complete schematic of the proposed LNA
3
4
Figure 6. Simulated S21 of the proposed LNA with and without applying noise cancelling
5
technique.
13
1
2
Figure 7. Simulated S11, S22 and S12of the proposed LNA with applying noise cancelling
3
technique.
4
5
Figure 8. Simulated NF of the proposed LNA with and without applying noise cancelling
6
technique.
14
1
2
Figure 9. Simulated IIP3 at 1.9 GHz.
3
Table . Performance Summary
Supply
Technology
-3dB-BW
Gain
NF
S11
IIP3
(CMOS)
(GHz)
(dB)
(dB)
(dB)
(dBm)
Reference
Power
voltage
(mW)
(V)
[2]
90 nm
0.002-2.3
21
1.4
<-10
-1.5
1.8
18
[3]
0.18 μm
0.004-1.2
16.4
2.1-3.4
<-10
0
1.8
14.4
[4]
0.13 μm
0.8-2
14.5
2.6
<-8.5
+16
1.5
17.4
[5]
0.18 μm
1.2-11.9
9.7
4.5-5.1
<-11
-6.2
1.8
20
[6]
0.13 μm
0.2-3.8
19 VG
2.8-3.4
<-9
-4.2
1
5.7
[7]
65 nm
0.2-5.2
13-15.6
<3.5
<-10
>0
1.2
21
15
[8]
0.25 μm
0.002-1.6
13.7 VG
2.4
<-8
0
2.5
35
This work
0.13 μm
0.04-4.6
19.2
2.8-3.4
<-10.5
-13
1.2
8.5
1
16