  Quantum two-mode squeezing (QTMS) radars and noise radars detect targets by
correlating the received signal with an internally stored recording. A
covariance matrix can be calculated between the two which, in theory, is a
function of a single correlation coefficient. This coefficient can be used to
decide whether a target is present or absent. We can estimate the correlation
coefficient by minimizing the Frobenius norm between the sample covariance
matrix and the theoretically expected form of the matrix. Using simulated data,
we show that the estimates follow a Rice distribution whose parameters are
simple functions of the underlying, "true" correlation coefficient as well as
the number of integrated samples. We obtain an explicit expression for the
receiver operating characteristic curve that results when the correlation
coefficient is used for target detection. This is an important first step
toward performance prediction for QTMS radars.
