Aa. Shah et Dw. Tufts, DETERMINATION OF THE DIMENSION OF A SIGNAL SUBSPACE FROM SHORT DATA RECORDS, IEEE transactions on signal processing, 42(9), 1994, pp. 2531-2535
A nested sequence of constant false alarm rate (CFAR) hypothesis tests
is presented for rank determination over short data records. The proc
edure is based on the interpretation of sum of squares of singular val
ues as energy in a particular subspace. The CFAR thresholds are set up
based on distributions derived from matrix perturbation ideas. Expres
sions for probability of overestimation and underestimation are presen
ted.