Synthesis of Planar Circular Arrays with Quantized Amplitude Weights

Area of Science:

• Array Signal Processing
• Electromagnetics
• Antenna Theory

Background:

• Designing high directivity focusing arrays requires precise pattern synthesis.
• Existing methods for concentric ring arrays face challenges with uniformly distributed planar circular arrays and quantized weights.

Purpose of the Study:

• To propose a new stepwise and radially processed method for synthesizing uniformly distributed planar circular arrays with quantized weights.
• To extend a principle based on minimizing radial cumulative distribution errors for array synthesis.

Main Methods:

• A generalized analytical equation is used to relate pattern error minimization to radial cumulative distribution error minimization.
• The method is applied to synthesize uniformly distributed planar circular arrays with quantized weights.
• Numerical examples and comparisons with statistical methods are performed.

Main Results:

• The proposed method effectively synthesizes uniformly distributed planar circular arrays.
• Demonstrated effectiveness in achieving lower Maximum SideLobe Level (MSLL) compared to reported statistical methods.
• Successful extension of the radial cumulative distribution principle to planar circular arrays.

Conclusions:

• The stepwise and radially processed method is effective for synthesizing uniformly distributed planar circular arrays with quantized weights.
• The method offers an advantage in achieving lower MSLL, outperforming existing statistical approaches.
• This work validates the principle of minimizing radial cumulative distribution errors for advanced array synthesis.