An 8-Channel General-Purpose Analog Front-End for Biopotential Signal Measurement

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1 An 8-Channel General-Purpose Analog Front-End for Biopotential Signal Measurement Xue Yang, Jinming Hu, Zengweijie Chen, Hang Yang 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. B 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 generalpurpose and accurate analog front-end for a biopotential signal recording system. 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 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). 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). 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.

2 A. Design Considerations II. BIASING CIRCUIT We propose to use the short channel version of the betamultiplier 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. 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 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 µv rms [10]. However, judging by the results of more current designs, it seems that an input referred noise of less than 2 µv rms 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. TABLE III PRELIMINARY DESIGN PARAMETERS Parameter Specification Supply Voltage 3.3 V Closed-Loop DC Gain 40 db CMRR > 80 db PSRR > 60 db Fig. 2. Schematic of the Biasing Circuit. Bandwidth IRN Voltage > 4 khz < 2 µv rms 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. 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

3 suffice to eliminate the up-converted flicker noise, as well as potential dc-offsets from input signals [7]. Fig. 3. Amplifier with choppers/modulators for noise reduction [8]. 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. Fig. 5. Folded cascode amplifier topology [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 C in/c feedback. The modulator and demodulator in this case would be placed before and after the feedback nodes. Fig. 4. Modulator circuit for chopper network. 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]. Fig. 6. Negative feedback circuit [9]. 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].

4 Fig. 7. Common mode feedback circuit [9]. The operation of the feedback is to achieve a common mode voltage of (V dd + V ss)/2. To do so, C 3 and C 4 are precharged to V dd when the clock is high, while C5 is discharged to ground. As clock goes low, C5 is charging to V dd, and the charge balance becomes Fig. 8. Topology of 16-to-2 multiplexer. Eq. 1. [9] Setting all capacitances equal, the equation then becomes: Eq. 2. [9] 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]. 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 f clk = 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. TABLE IV DIGITAL CONTROL LOGIC Data Select Signals Output D 2 D 1 D 0 Y IN0+/ IN1+/ IN2+/ IN3+/ IN4+/ IN5+/ IN6+/ IN7+/-

5 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. Fig. 9. Switching logic corresponds to clock signals. Our group is going to design an 8-bit successive approximation routine ( SAR ) ADC. It has an LSB value of 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 db from all the gain stages preceded is required. Fig. 10. Switch control signals vs. switch CMOS lines. Fig. 12. SAR ADC topology. 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]: Eq. 3. [4] Fig. 11. Schematic of DDA [1]. f s represents the sampling frequency, and the ENOB stands for effective number of bits and is calculated as: 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 Eq. 4. [4] ENOB stands for effective number of bits, and fs is the sampling frequency. Since we are working on the 0.6 μm, the

6 proposed ADC will try to achieve a FoM of 1 according to the figure below [4]. Fig. 15. Switched- capacitor simulation graph, with V p = V. If assuming infinite gain for the switched- capacitor amplifier, Fig. 13. CMOS fabrication technology vs. FoM. Eq. 5. 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]. V out 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, V off, during amplifier reset (ɸ 1), while C 3 was sampled to be V out(n-1), i.e. V out of previous cycle, during previous ɸ 2. During reset stage, V out 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 (ɸ 2), V out is independent of V off. 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]. Fig. 14. A switched-capacitor differential amplifier. In the switched- capacitor circuit, f clk = 500kHz, and the following circuit, Fig. 17 is implemented for clock signal generation. See Appendix A for clock generation Spice model implementation.

7 Fig. 17. Clock generation graph. Fig. 20. Folded cascode with gain enhancement op amp design [12] VII. TIMELINE See Appendix A for timeline. Fig. 18. Clock generation Spice signal The primed clock signals happen before nonprime signals to prevent charge escaping through C3 and C3_2. C delay 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: Fig. 19. Variable C1 capacitor sample graph built upon Fig. 14 A single-ended output folded cascade op amp with slewrate enhancement will be used for transistor level op-amp design. See Fig. 20.

8 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 Available: Accessed: Feb. 3, [2] "Understanding SAR ADCs: Their architecture and comparison with other ADCs - Tutorial - maxim," in maxim integrated, [Online]. Available: Accessed: Mar. 6, [3] "Choose the right A/D converter for your application," in Texas Instrument. [Online]. Available: right%20data%20converter%20for%20your%20applicatio n.pdf. Accessed: Mar. 6, [4] Posted, "ADC performance evolution: Walden figure-ofmerit (FOM)," Converter Passion, [Online]. Available: Accessed: Mar. 6, [5] J. R. Baker, CMOS: Circuit design, layout, and simulation - 3rd edition, 3rd ed. United States: Wiley, John & Sons, [6] C. Charles. and R. Harrison, "A floating gate common mode feedback circuit for low noise amplifiers - IEEE Xplore document,". [Online]. Available: 422&tag=1. Accessed: Mar. 6, [7] V. Das, D. Lie, and T. Nguyen, "A fully integrated low noise CMOS instrumentation amplifier design for lowpower biosensors - IEEE Xplore document," [Online]. Available: Accessed: Mar. 6, [8] D. Yates and E. Rodriguez-Villegas, "An ultra low power low noise chopper amplifier for wireless EEG,". [Online]. Available: -wireless-eeg.pdf. Accessed: Mar. 6, [9] J. Arias, L. Quintanilla, L. Enriquez, J. Vicente, and J. Barbolla, "Design of a CMOS fully differential switchedop-amp for SC circuits at very low power supply voltages - IEEE Xplore document," [Online]. Available: Accessed: Mar. 6, [10] S. Cerida, E. Raygada, C. Silva, and M. Monge, "A lownoise fully differential recycling folded cascode neural amplifier - IEEE Xplore document," [Online]. Available: Accessed: Mar. 6, [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 , [12] Martin, K. et al, A differential switched-capacitor amplifier, IEEE J. Solid-State Circuits, vol. 22, no. 1, pp , February [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 [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 , Jun doi: /

9 Appendix A Folded Cascode Amplifier

10 Simulation of Folded Op-Amp Modulator/Demodulator circuit

11 Modulated input signal

12 Demodulated signal vs. input signal

13 Clock generation Spice model.

14 Timeline Individual Simulation Kick-off System Level Simulation and Optimization ADC Layout Mar. 6th Mar. 19th Mar. 20th April 14th April 15th May 1st Complete Individual Simulation Complete System Simulation Project Wrap-up

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