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Thiran Filters for Wideband DSP-Based Multi-Beam True Time Delay RF Sensing Applications.

Sirani M Perera1, Gayani Rathnasekara2, Arjuna Madanayake2

  • 1Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, FL 32114, USA.

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Summary

This study presents a new digital algorithm for radio frequency (RF) sensing using fractional delays. It enables multiple simultaneous RF beams with reduced circuit complexity for advanced sensing applications.

Keywords:
TTD wideband multi-beam beamformingThiran fractional delaysarray processingcomplexity and performance of algorithmsignal processing and analysisstructured matriceswireless communication

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Area of Science:

  • Electrical Engineering
  • Signal Processing
  • Electromagnetics

Background:

  • Direction of Arrival (DOA) estimation is crucial for radio frequency (RF) sensing, communications, and imaging.
  • Existing wideband beamforming systems often require high filter orders, increasing circuit complexity.
  • Thiran fractional delay filters offer a trade-off between usable bandwidth and circuit complexity.

Purpose of the Study:

  • To introduce a novel algorithm for wideband true time delay digital delay Vandermonde matrix (DVM) factorization.
  • To leverage Thiran fractional delays for realizing RF sensors with multiple DOA support.
  • To reduce circuit complexity in multi-beam digital wideband beamforming systems.

Main Methods:

  • Development of a digital DVM algorithm utilizing sparse matrix factorization.
  • Implementation of Thiran fractional delays for approximating true time delays.
  • Evaluation of Thiran filters with fractional sampling periods and orders 3 and 4 on Xilinx FPGA RF-SoC.

Main Results:

  • The proposed algorithm enables multiple simultaneous RF beams, crucial for low-complexity sensing.
  • Thiran filters demonstrate favorable phase and group delay responses, especially with a temporal oversampling factor of three.
  • Preliminary FPGA results show potential for DVM factorization realization using Application-Specific Integrated Circuit (ASIC) technology.

Conclusions:

  • The developed digital DVM algorithm with Thiran fractional delays offers a low-complexity solution for multi-beam RF sensing.
  • Thiran filters provide an effective method for achieving wideband beamforming with reduced hardware requirements.
  • The findings pave the way for efficient implementation of advanced RF sensing and DOA estimation systems.