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Efficient Aperture Fill Time Correction for Wideband Sparse Array Using Improved Variable Fractional Delay Filters.

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Summary
This summary is machine-generated.

This study introduces a new multi-regularization minimax model to efficiently design variable fractional delay filters for wideband sparse arrays, significantly reducing system complexity and correcting aperture fill time.

Keywords:
ADMM algorithmminimax criterionvariable fractional delay (VFD)wideband sparse array

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Area of Science:

  • Signal Processing
  • Array Signal Processing
  • Filter Design

Background:

  • Wideband sparse arrays face aperture fill time (AFT) challenges due to linear coupling.
  • Variable fractional delay (VFD) FIR filters are used but lead to high system complexity.
  • Existing minimax models suffer from overfitting and non-unique solutions.

Purpose of the Study:

  • To develop a computationally efficient method for designing VFD FIR filters.
  • To reduce the system complexity associated with AFT correction in wideband sparse arrays.
  • To improve the optimization of VFD filter coefficients.

Main Methods:

  • A novel multi-regularization minimax (MRMM) model is proposed, incorporating sparse representation.
  • L2-norm and multiple L1-norms are used for regularization within the minimax criterion.
  • An improved sequential-alternating direction method of multipliers (S-ADMM) algorithm is developed to solve the nonconvex model.

Main Results:

  • The MRMM model effectively constrains the error function, mitigating overfitting and non-unique solutions.
  • Multiple L1-norms facilitate the optimal design of VFD filters with minimal sub-filter count and order.
  • The proposed S-ADMM algorithm efficiently solves the nonconvex optimization problem.

Conclusions:

  • The optimized VFD filter significantly reduces system complexity.
  • The proposed method effectively corrects aperture fill time in wideband sparse arrays.
  • This approach offers a practical solution for enhancing wideband sparse array performance.