A performance metric for screen selection with the acoustic single pixel imager.

Area of Science:

• Acoustics
• Signal Processing
• Waveguide Theory

Background:

• Acoustic Single-Pixel Imagers (ASPI) are emerging technologies for source localization.
• Sparse recovery techniques are crucial for estimating source bearing angles from limited sensor data.
• The performance of ASPI systems is influenced by sensing matrix properties and measurement strategies.

Purpose of the Study:

• To evaluate the predictive capability of mutual coherence for acoustic source localization performance.
• To analyze the impact of imaging screen sparsity and the number of screens on detection probability.
• To develop a simulation environment correlating mutual coherence with localization accuracy.

Main Methods:

• Utilizing sparse recovery techniques on sensor measurements from an acoustic single-pixel imager.
• Analyzing the mutual coherence of the sensing matrix as a performance predictor.
• Conducting simulations to vary source sparsity, imaging screen cell sparsity, and the number of measurements.
• Correlating simulation results with theoretical predictions.

Main Results:

• Mutual coherence of the sensing matrix effectively predicts source localization capability.
• The number of imaging screens used is the primary factor for improving acoustic source localization performance.
• Analysis demonstrates the interplay between mutual coherence, source sparsity, and system parameters.

Conclusions:

• Mutual coherence serves as a valuable metric for assessing acoustic single-pixel imaging system performance.
• Optimizing the number of imaging screens is critical for enhancing source localization accuracy.
• The developed simulation environment validates the relationship between system parameters and localization outcomes.