Polarization-preserving microwave RF filters having multiple resonators that are each operable for different Q factors for setting overall bandwidth. A coaxial dual-polarized waveguide filter may include a cable having a hollow circular body with ends formed by copper plates that each includes at least one iris. The irises may control the energy transfer into and out of the cavity and therefore set the Q factor for the body. The shape of the internal diameter of the body and the irises may provide for reception and propagation of differently polarized signals. Multiple segments may be cascaded in series to effect higher order filtering. Also described are methods of transmitting signals using these filters.