In one embodiment, a circuit comprises an adaptive predistorter and a nonlinear element coupled to an output of the predistorter. This invention can compress, restore, match and classify signals. The server retrieves the page and generates a set of thumbnails of the linked pages in the database. The tension on the gripper actuator and conductive filaments is maintained by the flywheel regardless of the length to which the cane is adjusted. The embodiments of the present invention further provide an apparatus and a system for compatibility with a VDSL2 legacy customer premises equipment. The electron-donating colorless dye is preferably at least one selected from 2-anilino-3-methyl-6-di-n-butylaminofluoran, 2-anilino-3-methyl-6-di-n-amylaminofluoran and 2-anilino-3-methyl-6-aminofluoran.