an 8-channel general-purpose analog front-end for...
TRANSCRIPT
Abstract— This paper presents system level specifications of
an 8–channel CMOS analog front-end (AFE) with an 11-bit
analog to digital converter, which is used for acquiring certain
biopotential signals such as EEG, ECoG, ECG, and EMG, i.e.
signals for brain activities, heart activities, and muscle activities.
I. INTRODUCTION iopotentials are electrical signals; they are generated due
to action potentials produced from certain types of cells
which are composed of nerve, muscle, or heart tissues.
Among all kinds of biopotentials, the most common ones are
EEG, ECoG, ECG, and EMG. EEG and ECoG are introduced
by brain cells, ECG is generated by the heart, and EMG is
from muscle activity [1]. Thus, the signals are of great value in
obtaining information about structure and function of tissues
from which they are generated from. However, these medical
benefits largely depend on the accurate acquisition of the
electrical signals. In addition, with the growing number of the
global aging population, demand for health monitoring
devices has never been higher. Hospitals have invested
substantial resources and capital to track various kinds of
biopotential signals for everyone, because each type of
electrical signals requires different kinds of medical
equipment. Thus, it is a logical choice to build a general-
purpose and accurate analog front-end for a biopotential signal
recording system.
The AFE presented in this paper will be used to record
EEG, ECoG, ECG and EMG signals whose amplitudes range
from 5μV to 5mV and bandwidths range from dc to 2 kHz as
shown in Table 1 [1]. Thus, the system must introduce very
little noise, have a high common-mode rejection ratio
(CMRR), and have a high-power supply rejection ratio
(PSRR). Regarding the extremely low range of target signals,
a low-pass filter with 2 kHz will be developed. As biopotential
signals are collected through physical electrodes, the input of
the system must have huge input resistance to minimize
loading effect. Moreover, the differential DC offset created by
tissue-electrode interface should also be eliminated to avoid
output saturation. It is done by a chopper low noise amplifier
(LNA).
Per Table 1, the smallest amplitude of the four signals is
5μV and the common bandwidth is around from 0.01 Hz to 2
kHz. Consequently, the bandwidth of the whole system is
from 0.01Hz to 2 kHz. An analog to digital converter (ADC)
has a step size granularity of 12.89μV (before amplification) is
chosen to be 8 bits (256 steps).
The block diagram of the proposed system is given in
Fig. 1 and the system level specifications are summarized in
Table 2. This section will address each of the blocks
individually.
B
An 8-Channel General-Purpose Analog Front-End
for Biopotential Signal Measurement
Xue Yang, Jinming Hu, Zengweijie Chen, Hang Yang
Fig. 1. System block diagram (the first amplifier is a Chopper Low Noise Amplifier; the amplifier before ADC is Programmable Gain
Amplifier; the multiplexer is a 16-2 Multiplexer; the 16 Electrodes will go through Pre- Amplifier with 8 Channels).
II. BIASING CIRCUIT
We propose to use the short channel version of the beta-
multiplier reference (BMR), shown in the Fig. 2 below, to bias
the whole system because the BMR is a self-biasing circuit
and it has very good VDD sensitivity. [5] Compared to the
bandgap reference, the BMR has better power supply rejection
ratio (PSRR) and consume less power. Moreover, the
temperature sensitivity of the BMR can be improved by using
resistors whose resistances depend on temperatures.
III. PRE-AMPLIFIER
The pre-amplifier requires a chopper stabilized amplifier with
negative feedback setting the gain with different values with the
input capacitor and the feedback capacitor [1][6]. The goal of this
stage is to provide moderate gain while eliminating 1/f noise which
can be detrimental in low frequency applications. The realization
of this stage can be divided into two main components: the
chopper stabilizing modulators and the low power amplifier for
gain, combined with the negative feedback.
A. Design Considerations
The design considerations for this circuit is towards the need
to suppress 1/f noise, dc-offsets from input, and rejection of
CMRR signals to ultimately increase the SNR of the input signals
[7]. Some amplification of the signal (around 20-40 dB, closed
loop gain) is done and can be adjusted in accordance to later
amplification stages. A CMRR of 80 dB or greater should provide
enough common mode rejection for an implantable device [7].
PSRR is also a concern and is set at greater than 60 dB. The
bandwidth is set by the maximum bandwidth of the possible
detected signals, which encompasses dc-2k. Input-referred noise is
at minimum less than the extracellular and electrode background
noise, approximately 5-10 µVrms [10]. However, judging by the
results of more current designs, it seems that an input referred
noise of less than 2 µVrms is ideal [7]. Power is less of a concern
than SNR in this stage but it would be highly preferable to be
extremely low power for this application. Again, gauging from
recent designs, a power consumption of under 10 µW is very
desirable.
Lastly, a high input impedance is desired to not load the
electrodes used to supply the input signals.
Parameter Specification
Supply Voltage 3.3 V
Closed-Loop DC Gain 40 dB
CMRR > 80 dB
PSRR > 60 dB
Bandwidth > 4 kHz
IRN Voltage < 2 µVrms
B. Chopper Stabilization
Chopper stabilization is a very effective technique that shows
good noise performance under low power, low frequency
operations [8]. The chopper circuit operates by modulating the
input frequency to a much higher frequency where flicker noise is
negligible. The modulated signal is then amplified and
demodulated back to the baseband, while the flicker noise remains
at the specified chopper frequency [8]. A low pass filter would
TABLE III
PRELIMINARY DESIGN PARAMETERS
Fig. 2. Schematic of the Biasing Circuit.
suffice to eliminate the up-converted flicker noise, as well as
potential dc-offsets from input signals [7].
Preliminary simulations have been done to demonstrate the
functionality of the chopper circuits. A low voltage input signal
within the specified bandwidth is inserted into a modulator with a
set chopper frequency of 15 kHz. The topology for one of the
choppers is seen in Figure 4 below.
Afterwards, demodulation is applied with the same chopper
circuit. A low pass filter is added at each of the differential outputs
to eliminate unwanted distortion. Simulation results can be seen in
Appendix A.
C. Amplifier Design
The design of the amplifier is a folded cascode amplifier with
cross-coupled active loads, and can be seen in Figure 5 [9]. Using a
cascode structure is advantageous as the currents are partitioned
for the maximization of the noise efficiency, which is ideal for this
application [11]. Another advantage of this specific topology is
that it has a very high CMRR, although common mode feedback is
required to compensate for the high common mode amplification
in the second stage. The high CMRR is accomplished with the
cross coupled transistors, which offers a low impedance for
common mode signals but a high impedance for differential signals
[9].
Preliminary simulations have led to an open loop gain of 72
dB for varying frequencies from 100-1kHz. Further sizing
adjustments will be made to account for noise, CMRR, stability,
and power consumption. Simulation schematic and results can be
seen in Appendix A.
D. Feedback Circuit
The feedback circuit is accomplished by putting capacitive
feedback with pseudo-resistors prior to the input of the amplifier,
as seen in Figure 6 [6]. The feedback capacitor sets the gain along
with the input capacitor, at the ratio of Cin/Cfeedback. The modulator
and demodulator in this case would be placed before and after the
feedback nodes.
As previously mentioned, a common mode feedback circuit is
needed to offset the high common mode gain of the fully
differential circuit. A switched capacitor topology will be utilized
as it is highly linear [9].
Fig. 3. Amplifier with choppers/modulators for noise reduction [8].
Fig. 4. Modulator circuit for chopper network.
Fig. 5. Folded cascode amplifier topology [9].
Fig. 6. Negative feedback circuit [9].
The operation of the feedback is to achieve a common
mode voltage of (Vdd + Vss)/2. To do so, C3 and C4 are pre-
charged to Vdd when the clock is high, while C5 is discharged to
ground. As clock goes low, C5 is charging to Vdd, and the charge
balance becomes
Setting all capacitances equal, the equation then becomes:
IV. 16-to-2 MULTIPLEXER
As aforementioned, there will be 16 channels of
electrode inputs. Particularly, 8 probes, with 2 channels of
signal per probe. The multiplexer should be capable of
providing output signals as input of CMOS switches, and
therefore control the switches of each probe channel.
The multiplexer module is comprised of a CMOS
switching array, a switch control unit, and differential
difference amplifier serves as a buffer (Fig. 11). The switching
rate of the switches is set to 500k channels/s. Hence, a 𝑓𝑐𝑙𝑘 =
500 𝑘𝐻𝑧 is needed for such a module [1] [5]. In accordance to
Table IV, there are 3 control signals that have different
frequencies. As shown in Fig. 9, D1 must be switching at 500
kHz, D1 is switching at 250 kHz, and D2 has the frequency of
125 kHz. In a realistic design, since there is only 1 clock
frequency input, there will be a clock divider module that
processes the 500 kHz clock signal properly. Different clock
signals were used in the simulation for sake of convenience.
During operation, the inputs will be switched to a
channel’s (+) and (-) nodes simultaneously. To avoid
switching mistakes, i.e., signals from IN1+ and IN2- are fed
into the buffer, a mechanism needs to be considered. In our
design, we chose to hook every channel’s (+) and (-) onto the
same switch. Therefore, whenever a channel is chosen to
provide output, the (+) and (-) signals will come from the
same channel. The design and validation of this DDA will be
done per referring [14].
Data Select Signals Output
D2 D1 D0 Y
0 0 0 IN0+/-
0 0 1 IN1+/-
0 1 0 IN2+/-
0 1 1 IN3+/-
1 0 0 IN4+/-
1 0 1 IN5+/-
1 1 0 IN6+/-
1 1 1 IN7+/-
Fig. 7. Common mode feedback circuit [9].
Eq. 1. [9]
Fig. 8. Topology of 16-to-2 multiplexer.
TABLE IV
DIGITAL CONTROL LOGIC
Eq. 2. [9]
V. SAR ADC
A. Overall design
To process and analyze biopotential signals, the analog
signals must be digitized. The analog-to-digital converter in
this AFE receives analog signals from the PGA and convert
them into digital codes.
We considered four types of ADC, and decided to use an
SAR ADC in our system because it is frequently the
architecture of choice for 8 to 16-bit resolution applications
with sample rates under 5 Mbps [2]. A pipeline ADC is
undesirable because our input signals do not have large
bandwidth, and it has huge power consumption and large die
area [3]. A delta-sigma ADC is seemingly suitable for our
application as it is low power, high resolution and low cost.
However, considering the workload required to understand
and implement the delta-sigma structure, we thought it would
be inefficient to apply it. As the bandwidth of our signals of
interest is below 2k, and the whole system does not require
extremely high resolution, an SAR structure is chosen to be
the ADC in our design.
Our group is going to design an 8-bit successive
approximation routine (“SAR”) ADC. It has an LSB value of
12.89 mV, given the VDD to be 3.3V. Since the smallest
amplitude of the four biopotential signals, which is EEG per
Table 1, is 5μV, at most a total gain of 68.23 dB from all the
gain stages preceded is required.
The topology of a SAR ADC is presented in Fig. 12. The
SAR employs a binary search algorithm, and the above
topology is very area-efficient, very fast and power efficient.
The walden figure of merit (FOM) definition for ADCs is
defined as [4]:
fs represents the sampling frequency, and the ENOB stands for
effective number of bits and is calculated as:
ENOB stands for effective number of bits, and fs is the
sampling frequency. Since we are working on the 0.6 μm, the
Eq. 3. [4]
Eq. 4. [4]
Fig. 12. SAR ADC topology.
Fig. 9. Switching logic corresponds to clock signals.
Fig. 11. Schematic of DDA [1].
Fig. 10. Switch control signals vs. switch CMOS lines.
proposed ADC will try to achieve a FoM of 1 according to the
figure below [4].
B. Clock Divider Since the track and hold circuit and the SAR logic are
clocked at different rates, a clock divider is required to divide
the external clock frequency. The slower clock operates on the
S/H and the faster one acts on the SAR logic during the hold
period.
VI. PROGRAMMABLE GAIN AMPLIFIER
For benefits of the entire analog front-end, a
programmable gain amplifier in Fig. 14 is selected. The
selected differential switched-capacitor amplifier has a good
amount of advantages: offset voltage cancellation without
requiring the output to slew to ground each time the amplifier
is reset (see Fig. 15), insensitivity to low op-amp gain, clock
feedthrough cancellation, and both inputs of this differential
amplifier can be sampled at the same time [12].
Fig. 14. A switched-capacitor differential amplifier.
Fig. 15. Switched- capacitor simulation graph, with Vp = 51.34 V.
If assuming infinite gain for the switched- capacitor
amplifier,
Eq. 5.
Vout is independent of op-amp offset voltage, because of
the application of Correlated Double Sampling (CDS)
technique, where C1 and C2 are charged to offset voltage,
Voff, during amplifier reset (ɸ1), while C3 was sampled to be
Vout(n-1), i.e. Vout of previous cycle, during previous ɸ2.
During reset stage, Vout is changed only by the op amp input
offset voltage. This means that the amplifier does not need to
slew to ground during reset stage, which suggests a low slew
rate requirement. In valid output (ɸ2), Vout is independent of
Voff. See Fig. 16 below [13].
Fig. 16. Simplified version of top part of selected circuit; first graph: reset
stage; the second graph: regular output.
Because a gain of 30 – 40dB is expected of this
amplifier, A is set to be 150 for ideal op amp model Spice
simulation. With a finite gain, the gain error is set to be
proportional to A-2. The following transfer function is
presented for low frequencies:
Eq. 6.
This could allow the usage of low-gain single- stage
amplifiers [12].
In the switched- capacitor circuit, 𝑓𝑐𝑙𝑘 = 500𝑘𝐻𝑧, and
the following circuit, Fig. 17 is implemented for clock signal
generation. See Appendix A for clock generation Spice model
implementation.
Fig. 13. CMOS fabrication technology vs. FoM.
Fig. 17. Clock generation graph.
Fig. 18. Clock generation Spice signal
The primed clock signals happen before nonprime
signals to prevent charge escaping through C3 and C3_2. Cdelay
in the circuit graph can be tweaked to adjust time delay values.
The delay will leave the op amp open-loop the set delay time
at the end of ɸ’1, but it will only cause output “glitches” at
clock transitions [12].
Because the amplifier will be used to process signals
from EEG, ECoG, ECG and EMG, the amplification level of
Vin can be adjusted by varying C1 values, i.e. arranging other
C1_EEG, C1_ECG, etc. to be in parallel with existing C1 with
switch signals sent by other clock signals. Below shows an
example:
A single-ended output folded cascade op amp with slew-
rate enhancement will be used for transistor level op-amp
design. See Fig. 20.
Fig. 20. Folded cascode with gain enhancement op amp design [12]
VII. TIMELINE
See Appendix A for timeline.
Fig. 19. Variable C1 capacitor sample graph built upon Fig. 14
References
[1] Chen, Wei-Ming, et al. “The Design of CMOS General-
Purpose Analog Front-End Circuit with Tunable Gain and
Bandwidth for Biopotential Signal Recording Systems.” 33
Annual International Conference of the IEEE EMBS.
Boston, Massachusetts: IEEE, 30 Aug. 2011. 4784–4787.
Available:
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6091
185. Accessed: Feb. 3, 2017.
[2] "Understanding SAR ADCs: Their architecture and
comparison with other ADCs - Tutorial - maxim," in
maxim integrated, 2017. [Online]. Available:
https://www.maximintegrated.com/en/app-
notes/index.mvp/id/1080#. Accessed: Mar. 6, 2017.
[3] "Choose the right A/D converter for your application," in
Texas Instrument. [Online]. Available:
https://www.ti.com/europe/downloads/Choose%20the%20
right%20data%20converter%20for%20your%20applicatio
n.pdf. Accessed: Mar. 6, 2017.
[4] Posted, "ADC performance evolution: Walden figure-of-
merit (FOM)," Converter Passion, 2012. [Online].
Available:
https://converterpassion.wordpress.com/2012/08/21/adc-
performance-evolution-walden-figure-of-merit-fom/.
Accessed: Mar. 6, 2017.
[5] J. R. Baker, CMOS: Circuit design, layout, and simulation
- 3rd edition, 3rd ed. United States: Wiley, John & Sons,
2010.
[6] C. Charles. and R. Harrison, "A floating gate common
mode feedback circuit for low noise amplifiers - IEEE
Xplore document,". [Online]. Available:
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1190
422&tag=1. Accessed: Mar. 6, 2017.
[7] V. Das, D. Lie, and T. Nguyen, "A fully integrated low
noise CMOS instrumentation amplifier design for low-
power biosensors - IEEE Xplore document," 2014.
[Online]. Available:
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6908
470. Accessed: Mar. 6, 2017.
[8] D. Yates and E. Rodriguez-Villegas, "An ultra low power
low noise chopper amplifier for wireless EEG,". [Online].
Available:
https://spiral.imperial.ac.uk/bitstream/10044/1/6107/1/ultra
-wireless-EEG.pdf. Accessed: Mar. 6, 2017.
[9] J. Arias, L. Quintanilla, L. Enriquez, J. Vicente, and J.
Barbolla, "Design of a CMOS fully differential switched-
op-amp for SC circuits at very low power supply voltages -
IEEE Xplore document," 2017. [Online]. Available:
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9575
10. Accessed: Mar. 6, 2017.
[10] S. Cerida, E. Raygada, C. Silva, and M. Monge, "A low-
noise fully differential recycling folded cascode neural
amplifier - IEEE Xplore document," 2017. [Online].
Available:
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=72
50497. Accessed: Mar. 6, 2017.
[11] T. Denison, K. Consoer, A. Kelly et. al.,” A 2.2 µW 94
nV, rt. Hz, Chopper-Stabilized Instrumentation
Amplifier for EEG Detection in Chronic Implants”
ISSCC Dig. Tech. Papers pp.162-163, 2007.
[12] Martin, K. et al, “A differential switched-capacitor
amplifier”, IEEE J. Solid-State Circuits, vol. 22, no. 1,
pp. 104-106, February 1987.
[13] D. Johns and K. Martin, “Switched- Capacitor Circuits,”
in Analog Integrated Circuit Design, 2nd ed. New York,
John Wiley & Sons, 1997, ch. 14, p. 591 - 593.
[14] H. Alzaher and M. Ismail, "A CMOS fully balanced
differential difference amplifier and its applications,"
in IEEE Transactions on Circuits and Systems II: Analog
and Digital Signal Processing, vol. 48, no. 6, pp. 614-
620, Jun 2001.
doi: 10.1109/82.943332
Appendix A
Folded Cascode Amplifier
Simulation of Folded Op-Amp
Modulator/Demodulator circuit
Modulated input signal
Demodulated signal vs. input signal
Clock generation Spice model.
Timeline
Individual Simulation Kick-off
Complete Individual Simulation
System Level Simulation and Optimization
Complete System Simulation
ADC Layout
Project Wrap-up
Mar. 6th Mar. 19th Mar. 20th April 14th April 15th May 1st