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Design Example: Capacitance Multiplier Circuit01:20

Design Example: Capacitance Multiplier Circuit

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In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
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Multiple capacitors can be connected in a circuit in series or parallel configuration. When the capacitor combination is connected to a battery, the potential drop across each capacitor and the magnitude of charge stored in the individual capacitor depends on the type of the connection. The capacitor combination is replaced by a single equivalent capacitor that stores the same amount of charge as the combination for a given potential difference.
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A circuit containing resistance and capacitance is called an RC circuit. A capacitor is an electrical component that stores electric charge by storing energy in an electric field. Consider a simple RC circuit having a DC (direct current) voltage source ε, a resistor R, a capacitor C, and a two-way position switch. In the circuit, the capacitor can be charged or discharged depending on the position of the switch.
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A Metal-Oxide-Semiconductor (MOS) capacitor is a fundamental structure used extensively in semiconductor device technology, particularly in the fabrication of integrated circuits and MOSFETs (metal-oxide-semiconductor field-effect transistors). The MOS capacitor consists of three layers: a metal gate, a dielectric oxide, and a semiconductor substrate.
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A device consisting of two electrical conductors that are separated by a distance and used to store electrical charges is called a capacitor. The space between the conductors is either a vacuum or an insulating material, called a dielectric. Capacitors have many applications, ranging from filtering static from radio reception to energy storage in heart defibrillators.
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Author Spotlight: Microfluidic Channel-Based Soft Electrodes and Their Application in Capacitive Pressure Sensing
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A capacitance sensing method with trans-impedance based readout circuit and adaptive filtering for micro-gyro.

Yinyu Liu1, Youjun Zeng1, Yaochang Li2

  • 1Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China.

The Review of Scientific Instruments
|July 10, 2023
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Summary

This study analyzes trans-impedance amplifier (TIA) circuits for micro-machined gyroscopes, detailing noise and capacitance-voltage (C-V) gain. An adaptive filter significantly enhances signal-to-noise ratio (SNR) for improved gyroscope performance.

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Area of Science:

  • Electrical Engineering
  • Sensor Technology
  • Micro-electromechanical Systems (MEMS)

Background:

  • Trans-impedance amplifier (TIA) circuits offer a simple yet high-performance readout solution for micro-machined gyroscopes.
  • Understanding the noise and capacitance-voltage (C-V) gain characteristics of TIA circuits is crucial for optimizing sensor performance.

Purpose of the Study:

  • To analyze the noise and C-V gain of TIA circuits for micro-machined gyroscope applications.
  • To design and evaluate a TIA-based readout circuit with enhanced signal-to-noise ratio (SNR).

Main Methods:

  • Detailed analysis of TIA circuit noise and C-V gain.
  • Design and experimental testing of a TIA-based readout circuit with a C-V gain of approximately 286 dB.
  • Implementation of an adaptive finite impulse response (FIR) filter to improve SNR.

Main Results:

  • T-network TIA configurations were found to exhibit poor noise performance and should be avoided.
  • A signal-to-noise ratio (SNR) limit was identified for TIA-based readout circuits, necessitating filtering for improvement.
  • The designed circuit achieved an SNR of 22.8 dB for a 200 aF variable capacitance, increasing to 47 dB with adaptive filtering.
  • A capacitive sensing resolution of 0.9 aF was achieved.

Conclusions:

  • TIA circuits are suitable for micro-machined gyroscope readout, but careful design is needed to mitigate noise.
  • Adaptive filtering is essential for maximizing the SNR and achieving high-resolution capacitive sensing.
  • The proposed TIA and adaptive filtering solution offers a promising approach for advanced gyroscope systems.