Efficient Beampattern Synthesis for Sparse Frequency Diverse Array via Matrix Pencil Method.

Area of Science:

• Electromagnetics and Signal Processing
• Array Signal Processing

Background:

• Sparse Frequency Diverse Arrays (FDA) present complex beampattern synthesis challenges due to frequency offsets.
• Traditional global optimization methods for FDA synthesis are often computationally intensive and time-consuming.

Purpose of the Study:

• To develop an efficient, non-iterative beampattern synthesis approach for sparse Frequency Diverse Arrays (FDA).
• To address the computational complexity and time constraints associated with existing FDA synthesis methods.

Main Methods:

• A novel non-iterative approach is proposed, utilizing uniform sampling of a reference pattern to construct a Hankel matrix.
• Low-rank processing is applied to obtain a low-rank approximation of the Hankel matrix.
• Matrix enhancement and matrix pencil (MEMP) and matrix pencil (MP) methods are employed for parameter estimation.

Main Results:

• The proposed method demonstrates superior performance in terms of synthesis error and reduced average runtime.
• Significant savings in the percentage of utilized array elements were achieved.
• The approach is validated for both multi-carrier FDA (MCFDA) and standard FDA (SFDA) frameworks.

Conclusions:

• The developed non-iterative method offers an efficient and accurate solution for sparse FDA beampattern synthesis.
• This technique provides a practical alternative to time-consuming iterative optimization algorithms.
• The method effectively estimates array parameters, leading to improved synthesis performance and element efficiency.