Explicit forms for the transmission operators for a wide class of linear systems subject to control by a class of feedback filter indicate that design may be made on the basis of separate subsystems in the manner associated with state-estimating controllers but realized by an output feedback compensator configuration without input sensing. The results show that an account must be taken of the joint influence that the properties of these separately designed subsystems have on the resulting basic closed-loop transmission operators and indicate directly how the choice of design parameters governs the complete structure of these operators.