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Fast Fourier Transform01:10

Fast Fourier Transform

414
The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
The computational efficiency of the FFT becomes...
414

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A Double Fourier-Transform Imaging Algorithm for a 24 GHz FMCW Short-Range Radar.

Renato Cicchetti1, Stefano Pisa1, Emanuele Piuzzi1

  • 1Department of Information Engineering, Electronics and Telecommunications, Sapienza University of Rome, 00184 Rome, Italy.

Sensors (Basel, Switzerland)
|April 28, 2023
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Summary

A new frequency-modulated continuous-wave radar system was developed for short-range imaging. Its novel double Fourier transform (2D-FT) algorithm offers faster and wider-angle target detection compared to existing methods.

Keywords:
delay and sum (DAS)double Fourier transform (2D-FT)multiple signal classification (MUSIC)serial patch array antennashort range radar imaging system

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Area of Science:

  • Electrical Engineering
  • Radar Systems
  • Signal Processing

Background:

  • Short-range target imaging is crucial for various applications.
  • Existing radar imaging algorithms like Delay and Sum (DAS) and Multiple Signal Classification (MUSIC) have limitations in speed and field of view.
  • Frequency-modulated continuous-wave (FMCW) radar offers advantages for short-range applications.

Purpose of the Study:

  • To realize a novel FMCW radar system for short-range target imaging.
  • To develop and evaluate a new double Fourier transform (2D-FT) algorithm for radar target detection.
  • To compare the performance of the 2D-FT algorithm against established DAS and MUSIC algorithms.

Main Methods:

  • Construction of an FMCW radar system integrating a transceiver, Phase-Locked Loop (PLL), SP4T switch, and serial patch antenna array.
  • Development of a new double Fourier transform (2D-FT) algorithm for radar signal processing.
  • Comparative analysis of 2D-FT, DAS, and MUSIC algorithms using simulated canonical scenarios.
  • Experimental validation of the radar system's performance in realistic single and multiple target scenarios.

Main Results:

  • The realized FMCW radar achieved a range resolution of 55 cm and an angular resolution of 14°.
  • The 2D-FT algorithm demonstrated radar resolutions close to theoretical limits.
  • The 2D-FT algorithm achieved an angle of view exceeding 25°.
  • The 2D-FT algorithm was significantly faster than DAS (5x) and MUSIC (20x).
  • The radar system accurately identified target positions in realistic scenarios with errors under 20 cm.

Conclusions:

  • The developed FMCW radar system effectively performs short-range target imaging.
  • The novel 2D-FT algorithm provides superior speed and field of view for radar target detection compared to DAS and MUSIC.
  • The system demonstrates high accuracy in identifying single and multiple targets in complex environments.