  In radar polarimetry, the target characteristics significantly depend on the
rotation of the target concerning the radar line of sight. Hence, several
attempts have been made in the literature to compensate for the rotational
dependency or to derive a complete roll-invariant parameter using full
polarimetric SAR data. However, the degree of dependency of the targets on the
rotation domain has yet to be well explored. Hence, in this study, we have
proposed a new parameter that characterizes the targets concerning rotation in
Euclidean space. The parameter shows similar values for the targets, which can
be related to each other through a unitary transformation. The advantage of
this parameter has been demonstrated over different canonical targets. Further,
the characteristics of the natural targets have been shown using the Single
Look Complex data of C band Radarsat-2 and ALOS PALSAR over the San Francisco
Bay area and Cuba, respectively.
