The relationship between the matched-filter operator and the target signature space-orthogonal projection classifier

An operator called the target signature space-orthogonal projection classifier (TSC) was recently introduced. The author shows that the TSC is actually a scaling of the familiar matched-filter operator. It is also proved that scaling the matched-filter operator does not alter its receiver operating characteristic (ROC) curve. Therefore, the TSC has the same performance as the matched-filter operator but requires more computations.