Gallium nitride material transistors and methods associated with the same are provided. When transmission symbols are randomly dispersed, the variance of interference between users in the same sub-band is reduced on average. A plurality of transverse-extending scanning electrodes and a plurality of lengthwise-extending signal electrodes are patterned on the lower glass substrate to define a plurality of pixel areas. The merge plane data string describes only the spatial locations of the background pixels in the tile.