Matched, phase-only, or inverse filtering with joint-transform correlators

We show that configurations based on joint-power-spectrum correlators can provide not only classical matched filtering but also phase-only or inverse filtering. General, simple, and powerful means that extend the capabilities of classical joint-transform correlator systems are proposed. Moreover, inverse filtering with joint-transform correlators exhibits not only high peak sharpness but also high light efficiency, unlike inverse filtering with frequency–plane correlators, for which these two quantities are inversely related.