An Integrator-Differentiator Transimpedance Amplifier Using Tunable Linearized High-Value Multi-Element Pseudo-Resistors
Matthias Häberle, Denis Djekic, Daniel Krüger, Mahdi Rajabzadeh, Maurits Ortmanns, Jens Anders
Abstract
In this paper, we present an integrator-differentiator transimpedance amplifier (I-D-TIA) with a dc compensation, which incorporates widely tunable multi-element pseudo-resistors (MEPRs) in its dc servo loop and ac signal path. The implemented MEPR in the dc path is continuously tunable from <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$460 \,\mathrm {k\Omega }$ </tex-math></inline-formula> to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$300 \,\mathrm {G\Omega }$ </tex-math></inline-formula> allowing the TIA to process dc currents with a dynamic range of more than <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$100 \,\mathrm {dB}$ </tex-math></inline-formula> . The MEPR in the differentiator ac signal path provides a tunable resistance between <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$0.3 \,\mathrm {M\Omega }$ </tex-math></inline-formula> and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$100 \,\mathrm {M\Omega }$ </tex-math></inline-formula> , resulting in an overall ac transimpedance between <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$3 \,\mathrm {M\Omega }$ </tex-math></inline-formula> and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$1 \,\mathrm {G\Omega }$ </tex-math></inline-formula> . For the lowest ac transimpedance, a bandwidth of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$10 \,\mathrm {MHz}$ </tex-math></inline-formula> is achieved. The TIA provides a minimum input-referred current noise density of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$1.6\,\mathrm {fA}/\mathrm {\sqrt {Hz}}$ </tex-math></inline-formula> . The implemented MEPR has been optimized regarding its high-frequency noise by minimizing its parasitic capacitances. The MEPR shows an inherent shot noise suppression such that its noise stays close to the theoretical thermal noise limit and significantly below the theoretical shot noise limit, even for large dc currents. By using a sub-VSS supply for the MEPR, the asymmetry in its output characteristic is greatly reduced, leading to a linear signal swing of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$1.5\,\mathrm {V_{pp}}$ </tex-math></inline-formula> with a THD below <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$1 \mathrm {\%}$ </tex-math></inline-formula> on a <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$1.8-\mathrm {V}$ </tex-math></inline-formula> supply. Thanks to this high linearity, large bandwidth, and high dc current dynamic range, the proposed TIA can be used in a wide variety of applications from high-sensitivity, low-bandwidth lock-in detection to transient current sensing with sub-microsecond timing resolutions.