Optimization of wide-band linear arrays

Area of Science:

• Acoustics
• Signal Processing
• Array Signal Processing

Background:

• Linear arrays are crucial components in ultrasound systems.
• Wide-band operation presents challenges for traditional array design.
• Optimizing element positions and weights is key to achieving desired beam patterns.

Purpose of the Study:

• To propose an optimization method for wide-band linear arrays.
• To enhance beam pattern generation for ultrasound systems.
• To address optimization for both dense and sparse array configurations.

Main Methods:

• Utilizing the threshold accepting algorithm for element position and weight determination.
• Implementing an efficient numerical routine for beam pattern evaluation.
• Comparing wide-band optimization with classical shading functions and narrow-band algorithms.

Main Results:

• Wide-band optimization of dense arrays minimizes side-lobe energy more effectively than classical shading.
• Optimization of sparse linear array layout (positions and weights) achieves desired beam patterns.
• Proposed method shows superior performance, achieving approximately -7 dB further reduction in side-lobe level compared to narrow-band optimization.

Conclusions:

• The proposed wide-band optimization method offers superior performance for linear arrays in ultrasound systems.
• This approach yields better results than random or periodic sparse arrays.
• The method effectively reduces side-lobe energy and improves beam pattern generation.