A closed loop ML algorithm for phase aberration correction in phased array imaging systems. II. Performance analysis...

Area of Science:

• Electrical Engineering
• Signal Processing
• Optics

Background:

• Phased array imaging systems require precise phase control for optimal performance.
• Part I introduced maximum likelihood closed loop circuits for phase aberration correction.

Purpose of the Study:

• To analyze the performance of maximum likelihood closed loop circuits for phase aberration correction.
• To provide insights for designing and determining the tracking mode phase error variance performance.

Main Methods:

• Performance analysis of proposed closed loop circuits.
• Approximate analysis suitable for small error conditions.
• Accuracy validation for high signal-to-noise ratios.

Main Results:

• The analysis provides a method for evaluating closed loop circuit performance.
• Performance metrics for both 1-D and 2-D circuits are determined.
• The analysis is accurate under specific conditions (small errors, high SNR).

Conclusions:

• The presented analysis is valuable for the design and performance assessment of closed loop circuits in phased array imaging.
• Understanding phase error variance is crucial for system optimization.
• The methodology is applicable to systems with high signal-to-noise ratios.