A method of building systematically a multi-dimensional circular trellis coded modulation encoder with properties of optimal energy efficiency, strong tail biting and maximum minimum distance of trellis paths is disclosed. The precision thin-film piezoelectric elements are configured and arranged on a semi-rigid structure to detect rotation while rejecting spurious noise created by vibration, thermal gradients, and electromagnetic interference. The two wing members may be positioned at different angles to effectively vacuum a flat surface or at a corner of any degree angle formed from two adjacent surfaces. Busbars may therefore be fully insulated without the need for further insulating materials.