A Gradient-Based Method for Robust SensorSelection in Hypothesis Testing

Area of Science:

• Signal Processing
• Wireless Communication
• Optimization

Background:

• Robust hypothesis testing is crucial in wireless sensor networks (WSNs) for reliable data analysis.
• Uncertainty in distribution means within ellipsoidal sets complicates sensor selection.
• Limited bandwidth and energy necessitate efficient sensor subset selection for optimal performance.

Purpose of the Study:

• To develop a minimax robust sensor selection strategy for binary Gaussian hypothesis testing in WSNs.
• To address uncertainties in distribution means using an ellipsoidal uncertainty set.
• To optimize sensor subset selection for enhanced detection performance under resource constraints.

Main Methods:

• Formulated the minimax robust sensor selection problem to handle distribution mean uncertainties.
• Approximated the problem by maximizing the minimum Chernoff distance between distributions.
• Employed Danskin's theorem and the orthogonal constraint-preserving gradient algorithm (OCPGA) to solve the relaxed problem.

Main Results:

• The OCPGA effectively finds a stationary point for the relaxed sensor selection problem.
• OCPGA demonstrates significantly lower computational complexity compared to traditional greedy algorithms.
• Numerical simulations show OCPGA yields superior solutions with substantially reduced runtime (up to 48.72% faster).

Conclusions:

• The OCPGA-based sensor selection method provides a more efficient and effective approach for robust hypothesis testing in WSNs.
• OCPGA achieves better detection performance and faster computation, especially for smaller-scale problems where global optimality can be attained.
• This work offers a valuable contribution to optimizing resource-constrained WSNs for critical sensing applications.