How to Design a Programmable Gain Instrumentation Amplifier for Precision Wide Bandwidth Signal Chains

Abstract

This article aims to help hardware designers with the design of wide bandwidth programmable gain instrumentation amplifiers (PGIAs) from the selection of off-the-shelf discrete components to performance evaluation and how to save time and reduce design iterations. The PGIA architecture presented is optimized for driving the high precision successive approximation register (SAR) architecture-based signal chain at full speed. The article also demonstrates the PGIA’s precision performance in driving wide bandwidth signal chains for various gain options.

Introduction

A precision data acquisition subsystem typically consists of high performance, discrete linear signal chain blocks to measure and protect, condition and acquire, or synthesize and drive. Hardware designers developing these data acquisition signal chains typically require high input impedance to allow direct interface with a variety of sensors. In this case, a programmable gain is often needed to adapt the circuit to different input signal amplitudes—unipolar or bipolar and single-ended or differential with varying common-mode voltages. The majority of PGIAs traditionally consists of a single-ended output that cannot directly drive a fully differential, high precision SAR architecture-based signal chain at full speed and may require at least one signal conditioning or driver stage. Industry dynamics have been rapidly evolving with increased focus on system software and applications to differentiate system solutions. There is less time to build and prototype analog circuits to verify their functionality due to tight R&D budgets and time to market constraints. Hardware development resources are put under increased pressure to reduce design iterations. This article focuses on the key aspects of designing a discrete wide bandwidth, fully differential PGIA and demonstrates its precision performance when driving a high speed signal chain μModule® data acquisition solution.

PGIA Design Description

Figure 1 shows the discrete wide bandwidth, fully differential PGIA simplified circuit block diagram. The key specifications and design requirements for this PGIA circuit are listed in Table 1.

Table 1. PGIA Design Constraints and Key Specifications
PGIA Specification Design Requirement Comments
Output Common Mode 2.048 V Fixed
Differential Output to ADC 8.192 V p-p Fixed
Gains: Single-Ended or Differential 2, 10, 64, 128 Programmable
Supplies +VS/–VS +15 V/–15 V, –6 V/–2 V A single supply of 5 V can be used for FDA (trade-off: 3 dB to 4 dB SNR drop)
Bandwidth >50 MHz Required to drive SAR device at 15 MSPS
Noise <2 nV/√Hz Required to achieve SNR above 85 dB
Offset Voltage Drift ≤2 µV/°C Overall lower drift reduces calibration burden in system
CMRR >90 dB for all gains  
Signal Chain Specification    
µModule Fully Differential 16-bit/18-bit  
µModule Sample Rate 15 MSPS Lower sample rate can be used if desired
SNR at 100 kHz >85 dB at G = 2, >73 dB at G = 128 Design target
THD at 100 kHz <–105 dB at G = 2, <–70 dB at G = 128 Design target

This discrete PGIA is built using the following components:

  • ADA4898-1 low noise, high speed amplifiers
  • LT5400 quad matched resistor network, used as gain and feedback resistors to set PGIA gain
  • ADG1209 low capacitance, iCMOS™ multiplexer to control PGIA gain
  • ADA4945-1 wide bandwidth, fully differential amplifier (FDA)

The discrete components for this wide bandwidth PGIA circuit were chosen to meet the PGIA specifications highlighted in Table 1 and achieve an optimized AC and DC performance when driving fully differential high speed signal chain μModule data acquisition solutions such as the ADAQ23875 and ADAQ23878, and ADCs such as the LTC2387-16/LTC2387-18.

Figure 1. A simplified PGIA circuit block diagram.

Design Tips and Components Selection

The ability of this wide bandwidth discrete PGIA solution to drive high speed SAR architecture-based signal chain μModule solutions and achieve optimized performance is dependent on the key specifications (such as bandwidth, slew rate, noise, and distortion) of the amplifiers as well as the FDA. The ADA4898-1 and the ADA4945-1 were chosen because their gain bandwidth (GBW) products support the overall bandwidth requirements of this signal chain. The ADA4945-1 (FDA) is only required when driving ADCs such as the LTC2387-16/LTC2387-18. The criteria for setting the PGIA gain are dependent on the selection of amplifiers, feedback resistors, and multiplexers, as discussed in the next section.

Setting the PGIA Gain

Selecting Gain and Feedback Resistors

The gain and feedback resistors of the amplifiers should be precisely matched. The LT5400 quad resistor network offers 0.2 ppm/°C matching drift and 0.01% resistor matching over a wide temperature range as well as better common-mode rejection ratio (CMRR) than independently matched resistors. The gain resistors around the FDA also need to be matched precisely to achieve optimum CMRR performance. The LT5400 resistor network is used to set the gain of amplifiers. The gain computation is shown in equations 1 to 3.

Equation 1
Equation 2

By setting R1 = R4 and R2 = R3 when using the LT5400, the gain would be:

Equation 3

The gain of amplifiers and the FDA (fixed gain of 2) make up the total gain of the PGIA as shown in Table 2.

The LT5400 series has a variety of resistor options available as shown in Table 2. The ADG1209 multiplexer can be bypassed by using the amplifiers in a unity-gain configuration, so a total PGIA would be set to 2 in this case.

Table 2. LT5400 Resistor Options and Equivalent Gain
Device R2 = R3 (kΩ) R1 = R4 (kΩ) RGAIN (Ω) ADA4898-1 Gain (V/V) Total PGIA Gain (V/V)
LT5400-4 1 1 N/A 2 4
LT5400-6 1 5 N/A 6 12
LT5400-7 1.25 5 N/A 5 10
LT5400-8 1 9 N/A 10 20
LT5400-4 1 1 130 31.77 63.54
LT5400-4 1 1 63.4 64.09 128.18

To set the gain higher than 20, an external precision matched gain resistor (RGAIN) is added between the inverting inputs of the ADA4898-1 amplifiers, and the LT5400-4 are used as feedback resistors to achieve a target gain of 64 and 128 as shown in Figure 2.

To compute the RGAIN value, refer to equations 4 to 8.

Equation 4
Equation 5
Equation 6
Equation 7

And the value of RGAIN for desired gain would be:

Equation 8

Selecting a Multiplexer

A multiplexer is used to control various gains of this PGIA circuit by selecting the LT5400 quad resistor network. When selecting a multiplexer for this wide bandwidth discrete PGIA design, the multiplexer’s important parameters such as on resistance (RON), on capacitance (CON), and off capacitance (COFF) should be considered. For this wide bandwidth PGIA design, it is recommended to use the ADG1209 multiplexer. The compensation capacitor (Cc) is added in the feedback path of amplifiers to minimize gain peaking and reduce the effect of the multiplexer on/off capacitance. The Cc along with the RON, feedback, and gain resistors will create a pole, which will compensate the effect of capacitive parasitic zero in the feedback loop gain. The Cc value should be optimized to achieve the desired closed-loop response. When a higher feedback resistor value is used around the ADA4898-1, more peaking appears in the closed-loop gain due to its high input capacitance. To avoid this issue, a higher feedback resistor value and feedback capacitor should be used in parallel around the ADA4898-1. The optimized Cc value of 2.7 pF is chosen here as recommended in the ADA4898-1 data sheet as shown in Figure 2. A smaller Cc will have minimal gain peaking, whereas too large of a Cc will affect the gain flatness of the closed-loop gain.

Figure 2. A multiplexer along with the LT5400 and RGAIN resistors set the PGIA gain.

PGIA Power Supplies

Figure 3 shows the board used to evaluate the performance of this discrete wide bandwidth PGIA design.

Figure 3. A discrete wide bandwidth PGIA evaluation board.

The ±15 V supplies are required to power up the PGIA front end that consists of two high speed ADA4898-1 amplifiers and an ADG1209 multiplexer, while the ADA4945-1 FDA requires 6 V and 2 V supply rails to achieve optimum signal chain performance. Although this board requires benchtop power supplies, the recommended LTpowerPlanner® power tree and current drawn for each of the rails for this PGIA circuit are shown in Figure 4.

Figure 4. A recommended power tree.

PGIA Performance

Bandwidth

Figure 5 shows the closed-loop gain vs. frequency plot for different gain settings. As the PGIA gain is increased from 2 to 128, its bandwidth will decrease while its noise referred to output (RTO) will increase; hence, the signal-to-noise ratio (SNR) will decrease.

Figure 5. Bandwidth vs. frequency.

CMRR

Figure 6 shows the CMRR vs. frequency plot for different PGIA gain settings.

Figure 6. CMRR vs. frequency.

Distortion

The Audio Precision® (APX555) signal analyzer is used to test the distortion performance of the PGIA board (Figure 4), and its output was set at 8.192 V p-p by applying various input voltage for various gain settings. Figure 7 shows the total harmonic distortion (THD) vs. the frequency performance of the discrete wide bandwidth PGIA.

Figure 7. A PGIA THD vs. frequency.

Key Specifications Summary

A summary of key PGIA specifications such as bandwidth, slew rate, drift, and distortion measured on the bench using the discrete PGIA board (Figure 4) is shown in Table 3.

Table 3. Standalone PGIA Key Specifications
PGIA Gain (V/V) –3 dB Bandwidth (MHz) Slew Rate (V/µs) Drift (µV/°C) THD (dB), FIN = 1 kHz
2 47.7 77 0.06 –126.5
10 12.99 72 1.18 –116.11
63.54 2.15 10 0.042 –110.04
128.18 0.98 N/A 0.026 –103.32

A PGIA That Drives Signal Chain μModule Solutions

Figure 8 shows that the selected multiplexer input is followed by the two ADA4898-1 low noise, high speed amplifiers combined with the LT5400 quad precision matched resistor network that drives the ADAQ23875 signal chain µModule at 15 MSPS. The ADAQ23875 has an internal fully differential amplifier; thus, the FDA block of the wide bandwidth discrete PGIA board (Figure 4) should be bypassed. The Audio Precision (APx555) signal source is used for the evaluation of SNR and THD and in this case, the input amplitude was set around –0.5 dBFS.

Figure 8. The simplified signal chain of discrete PGIA driving the ADAQ23875.

Complete Signal Chain Performance

Noise

The dynamic range and referred to input (RTI) noise for a specific input range or gain setting of a complete signal chain (Figure 8) are shown in Table 4.

Table 4. Dynamic Range and RTI Noise Summary When the PGIA Drives the ADAQ23875
PGIA Gain (V/V) Input Range (V p-p) Dynamic Range (dB) RTI Noise (µV rms)
2 4.096 87.68 59.85
10 0.819 79.39 31.05
63.54 0.129 78.85 5.20
128.18 0.064 76.83 3.25

The SNR performance vs. frequency of the discrete PGIA driving the ADAQ23875 is shown in Figure 9 when using the ADA4898-1 amplifiers. The overall dynamic range or SNR degradation due to the increase in PGIA gain is attributed to the inherent noise of individual resistors, amplifiers, and μModule solutions.

The precision performance of the ADAQ23878, combined with a high sampling rate, reduces noise and enables oversampling to achieve exceptionally low rms noise and detection of small amplitude signals over a wide bandwidth. In other words, a 15 MSPS sample rate greatly relaxes antialiasing filter requirements and maximizes bandwidth when digitizing fast transients and small signal levels. Oversampling refers to sampling much faster than twice the signal bandwidth required to meet the Nyquist criterion. For instance, oversampling the ADAQ23875 by a factor of four provides one additional bit of resolution or a 6 dB increase in dynamic range—in other words, the DR improvement due to this oversampling is defined as: ΔDR = 10 × log10 (OSR) in dB. The ADAQ23875 typical dynamic range is 91 dB at 15 MSPS for a 4.096 V reference with its inputs shorted to ground. For example, when the ADAQ23875 is oversampled by a factor of 256×, this corresponds to a signal bandwidth of 29.297 kHz and a dynamic range close to 111 dB for the different gain options, which can precisely detect small amplitude μV signals. Additional oversampling can be applied to trade off between noise and bandwidth to suit the measurement being performed.

Figure 9. SNR vs. frequency with the PGIA driving the ADAQ23875.

Distortion

Figure 10 and Figure 11 show the THD performance of the signal chain (up to 100 kHz and from 100 kHz up to 1 MHz) when the ADAQ23875 is driven by the discrete PGIA. The THD gradually degrades as the PGIA gain and input signal frequency are increased since the bandwidth and slew rate of the ADA4898-1 start to deteriorate. Figure 11 also shows a THD performance comparison for two signal chains when the PGIA drives the ADAQ23875 vs. when the combination of the LTC6373 and ADA945-1 drives the LTC2387-16 at 15 MSPS.

Figure 10. THD vs. frequency with the PGIA driving the ADAQ23875.
Figure 11. THD signal chain performance comparison for the PGIA driving the ADAQ23875 and the LTC6373 + ADA4945-1 + LTC2387-16.

Integral Nonlinearity (INL) and Differential Nonlinearity (DNL)

When the PGIA drives the ADAQ23875, it is also important that the overall DC accuracy of the signal chain is maintained. Figure 12 and Figure 13 show the typical INL and DNL performance with a PGIA gain of 2. For all other gain settings, INL and DNL stay within typically ±0.5 LSB.

Figure 12. An INL plot for the PGIA (G = 2) driving the ADAQ23875.
Figure 13. A DNL plot for the PGIA (G = 2) driving the ADAQ23875.

Conclusion

This article features the design aspects of a discrete wide bandwidth PGIA built using the ADA4898-1 amplifiers, the ADG1209 multiplexer, and the LT5400 precision matched resistors. It showcases the high accuracy measurements of tens of millivolts to sub-10 volts single-ended/differential signals feeding into the 16-bit, 15 MSPS ADAQ23875 signal chain μModule solution. A complete signal chain offers an overall better precision performance than what can be achieved using the monolithic PGIAs available in the market. This wide bandwidth signal chain is tailored for a specific set of customers building test instruments used in automated test equipment, power supply monitoring, and analyzers.

参考資料

Pachchigar, Maithil. “Increase Dynamic Range of SAR ADCs Using Oversampling.” Analog Devices, Inc., June 2015.

CN-0560: High Precision, Wide Bandwidth Current Measurement Signal Chain.” Analog Devices, Inc., June 2022.

Maithil Pachchigar

Maithil Pachchigar

Maithil Pachchigar はアナログ・デバイセズの計装/高精度テクノロジー部門のアプリケーション・エンジニアです。2010 年にアナログ・デバイセズに入社して以来、高精度 ADC の製品ポートフォリオを担当し、産業分野、計測分野、医療分野、エネルギー分野のお客様を支援しています。2005 年から半導体業界に携わっており、数件の技術資料を発表しています。2006年にサンノゼ州立大学で電気電子工学の修士号を取得し、2010 年にシリコン・バレー大学で経営学の修士号を取得しています。

John Neeko Garlitos

John Neeko Garlitos

John Neeko Garlitos は、アナログ・デバイセズ(フィリピン GT)のプロダクト・アプリケーション・エンジニアです。2017年に入社しました。シグナル・チェーン向けのµModuleソリューション部門で製品開発に従事。Circuits from the Labやリファレンス回路向けの組み込みソフトウェアも担当しています。フィリピン工科大学ビサヤ校で電子工学の学士号、フィリピン大学ディリマン校で電気工学の修士号を取得しています。