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The discrete Fourier transform algorithm for determining decay constants—Implementation using a field programmable

G Bostrom1, D Atkinson2, A Rice1

  • 1Physics Department, Portland State University, Portland, Oregon 97201, USA.

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Summary
This summary is machine-generated.

A new high-throughput data acquisition system enables near real-time measurement of analyte concentrations using cavity ringdown spectroscopy (CRDS). This system leverages a field-programmable gate array (FPGA) for rapid decay constant determination.

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Area of Science:

  • Spectroscopy
  • Analytical Chemistry
  • Physical Chemistry

Background:

  • Cavity ringdown spectroscopy (CRDS) is a sensitive technique for measuring analyte concentrations.
  • Traditional CRDS data acquisition can limit throughput due to processing speed.
  • Accurate determination of the exponential decay constant is crucial for quantitative analysis.

Purpose of the Study:

  • To develop a high-throughput data acquisition system for CRDS.
  • To enable near real-time determination of the decay constant.
  • To improve the speed and efficiency of CRDS measurements.

Main Methods:

  • Utilized a field-programmable gate array (FPGA) for real-time signal processing.
  • Implemented the discrete Fourier transform (DFT) algorithm to calculate the decay constant.
  • Adapted a commercial analog-to-digital converter (ADC) evaluation board for the system.

Main Results:

  • Achieved a maximum decay constant output rate of 4.4 kHz.
  • Demonstrated successful implementation using an 8192-point fast Fourier transform (FFT).
  • Validated system performance both as a stand-alone unit and integrated into an existing CRDS setup.

Conclusions:

  • The developed FPGA-based system significantly enhances CRDS throughput.
  • Near real-time analysis is achievable, enabling faster experimental results.
  • The modified ADC evaluation board provides an effective platform for high-speed CRDS data acquisition.