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A recursive least squares-based demodulator for electrical tomography.

Lijun Xu1, Haili Zhou, Zhang Cao

  • 1Key Laboratory of Precision Opto-Mechatronics Technology, Ministry of Education, School of Instrument Science and Opto-Electronic Engineering, Beihang University, Beijing 100191, China. lijunxu@buaa.edu.cn

The Review of Scientific Instruments
|May 3, 2013
PubMed
Summary
This summary is machine-generated.

A new Recursive Least Squares (RLS) demodulator for Electrical Tomography (ET) offers flexible trade-offs between speed and precision. This RLS-based demodulator is suitable for Field-Programmable Gate Array (FPGA) implementation.

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Area of Science:

  • Electrical Engineering
  • Signal Processing
  • Tomography

Background:

  • Electrical Tomography (ET) systems require precise demodulation of electrical parameters.
  • Existing demodulators may lack flexibility in balancing speed and accuracy.
  • Sinusoidal excitation is commonly used in ET.

Purpose of the Study:

  • To propose a novel Recursive Least Squares (RLS)-based demodulator for Electrical Tomography (ET).
  • To enable flexible trade-offs between demodulation speed and precision.
  • To facilitate implementation in Field-Programmable Gate Arrays (FPGAs).

Main Methods:

  • Developed an RLS-based demodulator utilizing sinusoidal excitation.
  • Processed initial sampling data for preliminary amplitude and phase results.
  • Recursively incorporated additional data to enhance precision and signal-to-noise ratio.
  • Conducted numerical simulations to optimize hardware implementation parameters (fixed-point precision, sampling rate, ADC resolution).
  • Implemented and validated the demodulator on an FPGA-based capacitance measurement circuit for ET.

Main Results:

  • The RLS-based demodulator provides preliminary results using minimal data.
  • Increased data processing recursively improves demodulation precision and signal-to-noise ratio.
  • Numerical simulations confirmed feasibility and guided hardware parameter optimization.
  • FPGA implementation and experimental validation demonstrated the demodulator's effectiveness.
  • Achieved a flexible balance between demodulation speed and precision.

Conclusions:

  • The proposed RLS-based demodulator is a valid and effective solution for Electrical Tomography.
  • It offers significant flexibility in hardware design for ET systems.
  • The demodulator successfully balances demodulation speed and precision based on system requirements.