Abstract
It is interesting to determine the number of signals impinging upon a large array with small samples. We tackle this problem by using 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 and number of samples tend to infinity at the same rate. Moreover, the noise shrinkage coefficients almost surely converge to one while the signal shrinkage coefficients are almost surely 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 to illustrate their effectiveness.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: IEEE Transactions on Aerospace and Electronic Systems
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
