# Instrumentation

# Amplifiers for bioelectric events: a design with a minimal number of parts

## A. C. MettingVanRijn, A. Peper, C. A. Grimbergen..

### Academic Medical Center, Medical Physics Department, Meibergdreef 15 1105 AZ Amsterdam, The Netherlands, e-mail : metting@biosemi.com

.**Abstract**

*-**A design of an amplifier for bioelectric events is presented which has fewer parts than conventional designs. The design allows the construction of amplifiers with a high quality in terms of noise and common mode rejection, with reduced dimensions and with a lower power consumption. Gain, bandwidth and number of channels are easily adapted to a wide range of biomedical applications. An application example is given in the form of a multichannel EEG amplifier (gain is 20,000) in which each channel consists of 3 operational amplifiers (1 single and 1 dual), 6 resistors and 2 capacitors. The equivalent input noise voltage and current were respectively 0.15 æVrms and 1 pArms in a bandwidth of 0.2 - 40 Hz, while a common mode rejection ratio of 136 dB was achieved without trimming*.

**Keywords -**

*Recording of bioelectric events, Instrumentation amplifier, Noise, Common mode rejection ratio, DC suppression, Number of parts*

#### I. INTRODUCTION

The specifications required for an amplifier for bioelectric events are: high overall gain (1,000 - 100,000), low equivalent input noise density (<100 nV/ Hz with typical electrode impedances) (Cooper et al., 1969; Silverman et al., 1969), high common mode input impedance (> 100 M at 50 Hz) (Pacela, 1967) and a high common mode rejection ratio (CMRR)(> 80 dB at 50 Hz) (Huhta and Webster, 1973). The design of amplifiers for bioelectric events is complicated by electrode offset voltages: DC input voltages of up to 200 mV should not result in saturation of the amplifier (Geddes, 1972).In addition, some features are important to obtain a practical design: no severe demands should be put on resistor matching nor should additional trimming be necessary. Finally, the importance of a low capacitance between the isolated section of the measurement system containing the amplifier, and the environment (MettingVanRijn et al., 1991b) has two implications for the design of the amplifier: power consumption should be low to enable small sized batteries to be used as a power supply and the dimensions of the amplifier should be kept to a minimum. A low power consumption can partly be achieved by minimizing the number of active parts (transistors, FET's and operational amplifiers). Small dimensions call for a design with a low total number of parts and without capacitors larger than 100 nF or inductors to allow for surface mount or thick-film construction.

#### 2 INSTRUMENTATION AMPLIFIERS

An amplifier for bioelectric events is an instrumentation amplifier: a differential amplifier with fixed differential gain, a high input impedance, a high CMRR and low noise. There are two groups of designs for instrumentation amplifiers: the long tailed pair with current feedback (Graeme, 1977) and the designs built with operational amplifiers (op-amps). In principle, the first group offers the best performance, especially when high quality discrete parts are used (Nelson, 1980), but the realizations tend to be rather complex (MettingVanRijn et al., 1991a). There are some monolithic versions of long tailed pair designs (e.g. AMP01 and LM363). However, these IC's lack the flexibility needed to be applied in amplifiers for bioelectric events: it is difficult to obtain DC suppression (Smit et al., 1987) and to adapt the designs for monopolar multichannel recordings (MettingVanRijn et al., 1990).

The use of op-amps as active elements is an attractive way to construct a relatively simple instrumentation amplifier. There are two basic designs: the two op-amp (Fig. 1) and the three op-amp instrumentation amplifier (Tobey et al., 1971; Horowitz and Hill, 1989).

The use of op-amps as active elements is an attractive way to construct a relatively simple instrumentation amplifier. There are two basic designs: the two op-amp (Fig. 1) and the three op-amp instrumentation amplifier (Tobey et al., 1971; Horowitz and Hill, 1989).

**Fig 1 :**

*The basic instrumentation amplifier with two operational amplifiers. Features of the circuit are : A fixed differential voltage gain, a high common mode rejection ration, high input impedances and low noise.*

The two op-amp design has in principle some drawbacks in comparison with the three op-amp design: the common mode input range is lower and the matching of the resistors is more critical if a high CMRR is to be achieved (Graeme, 1973). However, these drawbacks become less important at high values of overall gain - as is the case with biomedical measurements - and the important advantage of a simpler design remains. Neither of the instrumentation amplifiers mentioned above can be used without modifications as an amplifier with high gain for the recording of bioelectric events, because the electrode offset voltages would cause saturation of the amplifier. The usual solution is to employ the three op-amp instrumentation amplifier with moderate gain (approx. 30 dB) in the first amplifier stage, followed by several AC coupled amplifier stages to achieve a high overall gain combined with a low offset voltage at the amplifier output (Neuman, 1978; MettingVanRijn et al., 1991b). In this paper, instead of the more widely used three op-amp instrumentation amplifier, the two op-amp instrumentation amplifier is used as a basis for an amplifier for bioelectric events. Before modifying the two op-amp instrumentation amplifier for biomedical applications, some features of the basic circuit are reviewed.

The common mode gain of a two op-amp instrumentation amplifier becomes zero if the relevant impedances (resistors R

If the condition in Eq. 1 is fulfilled the differential gain of a two op-amp instrumentation amplifier is given by:

In practice, the CMRR of a two op-amp instrumentation amplifier depends on the matching of the resistors and the chosen differential gain. A good approximation for the CMRR with small deviations from the exact resistor ratios is given by:

where: TOL

For example: If the usual 1% tolerance resistors are used for an instrumentation amplifier with a gain of 1000, a CMRR of 94 dB is achieved without trimming.

The good CMRR of a two op-amp instrumentation amplifier with a high differential gain is a result of the gain of common mode signals (ACM) being less than unity, even in cases where the resistor values differ by a large amount from ratios given in Eq. 1. This effect becomes readily apparent when the gain of the instrumentation amplifier with R2 = 0 (resistor ratios maximally unmatched) is considered for both differential and common mode input signals (in this case: ACM 1, A

The op-amps in a two op-amp instrumentation amplifier contribute equally to the equivalent input noise. The two-opamp instrumentation amplifier has good noise properties because an insignificant contribution of noise sources other than the input op-amps can be achieved with the gain settings and source impedances found in biomedical recordings. Note that the noise properties of the two op-amp instrumentation amplifier are equal to the three op-amp instrumentation amplifier if the latter has sufficient gain in the first amplifier stage.

The common mode gain of a two op-amp instrumentation amplifier becomes zero if the relevant impedances (resistors R

_{2}, R_{3}, R_{E}and impedance Z_{1}in Fig. 1) are chosen according to:If the condition in Eq. 1 is fulfilled the differential gain of a two op-amp instrumentation amplifier is given by:

In practice, the CMRR of a two op-amp instrumentation amplifier depends on the matching of the resistors and the chosen differential gain. A good approximation for the CMRR with small deviations from the exact resistor ratios is given by:

where: TOL

_{R}is the resistor tolerance in %For example: If the usual 1% tolerance resistors are used for an instrumentation amplifier with a gain of 1000, a CMRR of 94 dB is achieved without trimming.

The good CMRR of a two op-amp instrumentation amplifier with a high differential gain is a result of the gain of common mode signals (ACM) being less than unity, even in cases where the resistor values differ by a large amount from ratios given in Eq. 1. This effect becomes readily apparent when the gain of the instrumentation amplifier with R2 = 0 (resistor ratios maximally unmatched) is considered for both differential and common mode input signals (in this case: ACM 1, A

_{DIF}is given by Eq. 2 and CMRR = A_{DIF}).The op-amps in a two op-amp instrumentation amplifier contribute equally to the equivalent input noise. The two-opamp instrumentation amplifier has good noise properties because an insignificant contribution of noise sources other than the input op-amps can be achieved with the gain settings and source impedances found in biomedical recordings. Note that the noise properties of the two op-amp instrumentation amplifier are equal to the three op-amp instrumentation amplifier if the latter has sufficient gain in the first amplifier stage.

#### 3 A NOVEL DESIGN OF AN AMPLIFIER FOR BIOELECTRIC EVENTS

The two op-amp design seems attractive for the measurement of bioelectric events because the gain bandwidth product (GBP) of many commercially available low-noise op-amps is high enough to provide for sufficient differential gain in the bandwidth required. For example: both EEG (gain 10,000 and a bandwidth of 30 Hz) and ECG (gain 1000 and a bandwidth of 300 Hz) measurements require a GBP of approx. 300 kHz. Consequently, a single stage amplifier with one low-noise op-amp providing all gain, would suffice.The problem of adapting the two op-amp instrumentation amplifier to the biomedical measurement situation comes down to providing the amplifier with a proper high-pass response and a sufficient DC input range, without jeopardizing qualities such as high CMRR and low noise. We achieved this goal with the novel circuit shown in Fig. 2.

**Fig 2 :**

*A novel design for a bio-electric amplifier based on the two opamp instrumentation amplifier. A high pass response is achieved with an intergrator in the feedback loop.*

The common mode gain of the modified two op-amp instrumentation amplifier in Fig. 2 is zero if:

Provided the condition in Eq. 4 is met, the differential gain (A

_{DIF}) in the passband is:

Note that Eqs. 4 and 5 correspond to Eqs. 1 and 2 if the following substitution is made:

The circuit in Fig. 2 is a two op-amp instrumentation amplifier with an integrator in the feedback loop (AMP2 in Fig. 2). The integrator provides a low overall gain for low frequency input signals. The high-pass corner frequency is set with R

_{A}and C

_{A}. The connection between R

_{5}, R

_{A}and the output of AMP

_{0}is essential to attain a high CMRR because it limits the gain for common mode input signals (ACM) to unity (if R

_{5}and R

_{A}were connected to common, the behavior for differential input signals would be identical, whereas ACM would become very dependent on exact resistor matching). As a result, Eq. 3 is valid for the modified two op-amp instrumentation amplifier in Fig. 2 for frequencies above the high pass cut-off frequency and the good CMRR properties of the basic two op-amp instrumentation amplifier are retained.

Below the high pass cut-off frequency the common mode gain of the amplifier in Fig 2. rises by 6 dB/octave to a maximal value of unity. Consequently, for frequencies below the high-pass cut-off frequency, the CMRR drops from the value given by Eq. 3 to a value equal to A

_{DIF}.

In Fig. 2 a driven right leg (DRL) circuit is used as a connection between the signal source and the amplifier common (0 V, the midpoint between the supply voltages). A DRL circuit reduces the common mode voltage by driving U0 (see Fig. 2.) actively to the potential of the amplifier common (MettingVanRijn et al,. 1990). A DRL, in addition, protects the patient from the consequences of amplifier defects because a series resistor in the circuit (R

_{0}in Fig. 2) limits the maximum current through the ground electrode to a safe level. The common mode suppression of a DRL circuit increases with decreasing frequency. Consequently, the DRL circuit compensates for the decreasing CMRR of the instrumentation amplifier in Fig. 2 at low frequencies. In our view, a DRL should be used in every biomedical recording system for interference suppression and patient safety. Therefore, when the instrumentation amplifier of Fig. 2 is compared with other designs with respect to the needed number of parts, the DRL circuit should not be regarded as a particular complexity of the design in Fig. 2.

Besides the high CMRR, the good noise properties of the basic two op-amp instrumentation amplifier are retained as well in the modified two op-amp instrumentation amplifier in Fig. 2. The extra noise generated by AMP2 is divided by the factor R

_{3}/(R

_{3}+R

_{4}) (approx. 10 - 30 in typical biomedical applications, see also section 4) before it is added to the input of AMP1. Consequently, the equivalent input noise level of the circuit is not significantly higher than the combined input noise of op-amps AMP

_{0}and AMP

_{1}.

The low-pass corner frequency of the modified two op-amp instrumentation amplifier depends on the GBP of op-amp AMP

_{1}and the selected differential gain (the op-amps in this section are assumed to be internally compensated):

where: GBP

_{1}is the Gain Bandwidth Product of op-amp AMP

_{1}A

_{DIF}is the differential gain of the amplifier The slope of the amplitude characteristic is -6 dB/octave above this frequency. It was established that the differences in GBP between different op-amps of one type were only a few percent for most popular types. Consequently, employing the limited GBP of op-amps was found to be a convenient method of providing the needed low-pass response with sufficient accuracy of the cut-off frequency.

The design is unconditionally stable and no resonances occur with typical compensated op-amps and the usual gains used in recordings of bioelectric events (see Appendix 2).

#### 4 PRACTICAL CONSIDERATIONS

The output voltage of op-amp AMP2 in the circuit shown in Fig. 2, is equal to the DC voltage between the amplifier inputs (E

The offset voltage at the amplifier output (U1) of the circuit in Fig. 2 is the input offset voltage of op-amp AMP

The op-amps used for the integrators in the circuits shown in Figs. 2 and 3 should have low input bias currents (i.e. JFET, MOSFET or CMOS type op-amps) to allow the selection of large resistances R

A reduction of the bandwidth can be accomplished with a capacitor parallel to resistor R

An increased bandwidth can be achieved when an uncompensated op-amp is employed for AMP

Latch-up may occur if the common mode input range of op-amps AMP2 and AMP3 is smaller than the output voltage swing of the op-amps AMP0 and AMP1. Therefore, some combinations of op-amps will require appropriate output clamping of op-amps AMP

In applications with a low differential gain ADIF, the closed-loop response of op-amp AMP0 has a relatively large influence on the CMRR. If Z

_{0}and E_{1}) multiplied by the ratio (R_{3}+R_{4})/R_{3}. However, since the output voltage of op-amp AMP_{2}is limited by the supply voltage, the DC input range is determined by the resistor ratio (R_{3}+R_{4})/R_{3}and a high value for this ratio reduces the maximum allowable electrode offset. On the other hand, a low ratio (R_{3}+R_{4})/R_{3}allows noise from AMP_{2}to contribute significantly to the total amplifier noise. Therefore, a trade-off between DC input range and total noise figure has to be made.The offset voltage at the amplifier output (U1) of the circuit in Fig. 2 is the input offset voltage of op-amp AMP

_{2}multiplied by the resistor ratio (R_{5}+R_{6})/R_{5}. In cases where a high differential gain A_{DIF}is chosen, the output offset can become unacceptably high even if AMP_{2}is of a low offset type. A solution is the addition of a second integrator as pictured in the practical example in Fig. 3 (integrator around AMP3). The output offset of an amplifier channel (U_{1}... U_{N}) in Fig. 3 is equal to the input offset of op-amp AMP_{3}.The op-amps used for the integrators in the circuits shown in Figs. 2 and 3 should have low input bias currents (i.e. JFET, MOSFET or CMOS type op-amps) to allow the selection of large resistances R

_{A}and R_{B}- which is necessary to reduce the size of the integrator capacitors C_{A}and C_{B}- without producing large offset voltages between the inputs of op-amps AMP_{2}and AMP_{3}. Since the closed-loop gain for noise voltages across the resistors R_{A}and R_{B}is much smaller than A_{DIF}, thermal noise generated by these resistors as well as current noise generated by the input bias currents of op-amps AMP_{2}and AMP_{3}generally does not add significantly to the total amplifier noise. The design is easily expanded to more channels, as shown in the example in Fig. 3. Each channel amplifies the signal between its input (E_{1}... E_{N}) and the E_{0}reference input (monopolar configuration). Note that the common mode input impedance is equal for all inputs, an important condition to prevent interference (MettingVanRijn et al., 1990).A reduction of the bandwidth can be accomplished with a capacitor parallel to resistor R

_{6}. However, appropriate modification of Z_{1}will then be necessary to retain a high CMRR. A better method is to reduce the gain-bandwidth-product of op-amp AMP_{1}since the CMRR does not depend on the bandwidth of this op-amp. Depending on the type of op-amp, several methods are available. For example: capacitive feedback from the output to one of the offset pins, selection of a proper compensation capacitor (uncompensated op-amps) or the selection of a proper set current (programmable op-amps).An increased bandwidth can be achieved when an uncompensated op-amp is employed for AMP

_{1}. As the ratio of the open-loop gain to the closed-loop gain is small in designs with a high differential gain, stable operation can be realized with much less compensation than is provided in a compensated op-amp (Horowitz and Hill, 1989). The application of an uncompensated op-amp is attractive since the power consumption of such an amplifier at a given combination of gain and bandwidth is lower than is the case with the application of a compensated op-amp with a high GBP (see also Appendix 1).Latch-up may occur if the common mode input range of op-amps AMP2 and AMP3 is smaller than the output voltage swing of the op-amps AMP0 and AMP1. Therefore, some combinations of op-amps will require appropriate output clamping of op-amps AMP

_{0}and AMP_{1}. The output AMP_{0}may be used to drive guarding and DRL circuits (MettingVanRijn et al., 1990) as shown in Fig. 3. Adding these circuits will effectively reduce the susceptibility for power line induced interference: the effective CMRR may be increased up to 50 dB at 50 Hz and interference currents in the electrode leads are prevented.In applications with a low differential gain ADIF, the closed-loop response of op-amp AMP0 has a relatively large influence on the CMRR. If Z

_{1}is a resistor, the decreasing open-loop gain of AMP0 at higher frequencies results in an increasing closed-loop gain error which in turn will lead to a decreasing CMRR at high frequencies. For a part, this effect can be counteracted by the use of a capacitor and resistor in parallel for the impedance Z_{1}(Z_{1}= R_{1}/C_{1}). It can be shown that a good approximation for the optimal value of this capacitor C_{1}is given by:
where: GBP

_{0}is the Gain Bandwidth Product of op-amp AMP_{0}
ADIF is the differential gain of the amplifier

On the other hand, in applications with a high differential gain A

_{DIF}, the CMRR is not significantly degraded if Z

_{1}is omitted and R

_{2}is replaced by a short (see Fig. 3). The selection of specific components for various applications and the optimization of the amplifier with respect to various specifications, is discussed in detail in Appendix 1.

#### 5 DISCUSSION

#### 6 CONCLUSION

#### Acknowledgement

#### References

Cooper, R., Osselton, J. W. and Shaw, J. C. (1969) EEG Technology. Butterworth, London, 14-22.Geddes L. A. (1972) Electrodes and the measurements of bioelectric events. John Wiley & Sons, New York, 44-94.

Graeme, J. G. (1973) Applications of operational amplifiers: third generations techniques. McGraw-Hill, New York, 53-58.

Graeme, J. G. (1977) Designing with operational amplifiers: application alternatives. McGraw-Hill, New York, 31-35.

Horowitz, P. and Hill, W.(1989) The art of electronics, 2nd edn. Cambridge University Press, Cambridge, 242-248, 425-428.

Huhta, J. C., Webster, J. G. (1973) 60-Hz interference in electro-cardiography. IEEE Trans., BME-20, 91-101.

MettingVanRijn, A. C., Peper, A. and Grimbergen, C. A. (1990) High quality recording of bioelectric events. Part 1: Interference reduction, theory and practice. Med. & Biol. Eng. & Comput., 28, 389-397.

MettingVanRijn, A. C., Peper, A. and Grimbergen, C. A. (1991a) High quality recording of bioelectric evenifiers (op-amps).

**APPLICATION EXAMPLE.**

**Fig 3. :**

*An example of a multichannel EEG amplifier with minimal noise, a low parts count and a low power consumption. An extra intergrator has been added in the feedback loop to redude the output offset. A DRL and a guard circuit are used for maximal interference reduction.*

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