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Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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High-Resolution Phase-Based Ranging Using Inverse Fourier Transform in an Iterative Bayesian Approach.

Jan Mazur1

  • 1Faculty of Electronics Photonics and Microsystems, Wroclaw University of Science and Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland.

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Summary

This study introduces a new algorithm for precise distance measurement between transceivers using phase information. The method accurately determines distances in multi-path environments, applicable to Bluetooth Low Energy (BLE) technology.

Keywords:
Bayesian approachBluetooth Low Energychannel soundingdistance estimationhigh-resolution Fourier transformlocalizationphase-based ranging

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Area of Science:

  • Signal Processing
  • Wireless Communication
  • Bayesian Inference

Background:

  • Accurate distance determination is crucial for various applications.
  • Existing methods may face challenges in multi-path environments.
  • Bluetooth Low Energy (BLE) offers potential for short-range communication.

Purpose of the Study:

  • To propose a novel algorithm for transceiver distance determination using phase information.
  • To address challenges in multi-path environments for accurate ranging.
  • To leverage phase data for high-resolution distance measurements.

Main Methods:

  • Development of a Bayesian algorithm to analyze phase samples.
  • Focus on phase information within a specific frequency range.
  • Algorithm designed to identify delays in multi-path environments.

Main Results:

  • Demonstrated high accuracy and resolution in distance determination.
  • Successful application in simulated multi-path scenarios.
  • Validation through several illustrative examples.

Conclusions:

  • The proposed algorithm offers a robust solution for accurate transceiver distance measurement.
  • Potential applications include virtual acoustics and advanced positioning systems.
  • The algorithm provides a balance of pros and cons for practical implementation.