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Source Enumeration for Large Array Using Shrinkage-based Detectors with Small Samples

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It is interesting to determine the number of signals impinging upon a large array with small samples. We tackle  this problem by utilizing linear shrinkage coefficients of signal and noise subspaces, ending up with two shrinkage coefficient based detectors (SCDs) for source enumeration. It is proved that the noise shrinkage coefficients are asymptotically Gaussian distributed as the number of antennas (m) and number of samples (n) tend to infinity at the same rate c. Moreover, the noise shrinkage coefficients almost surely converge to one while the signal shrinkage coefficients are almost surely much less than one as m; n → ∞ and m=n → c. With these properties, the threshold-like and heuristic SCD algorithms for source number detection are devised. Simulation results are included for illustrating their effectiveness.

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L. Huang

Field of Interest

“The field of interest shall be the organization, systems engineering, design, development, integration, and operation of complex systems for space, air, ocean, or ground environments. These systems include but are not limited to navigation, avionics, mobile electric power and electronics, radar, sonar, telemetry, military, law-enforcement, automatic test, simulators, and command and control."

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