An image coding apparatus for coding image data. In one embodiment, separate catalyst mixing systems are used to introduce a quantity of metallocene catalyst and Ziegler-Natta catalyst into the bulk loop reactor. Since a cosine wave generating section operates in a carrier wave frequency restoring mode and a carrier wave frequency adaptive mode, respectively, a single cosine wave ROM table can be used regardless of the respective operating modes, thereby reducing circuit complexity. A data bus, divided into portions by buffers, connects the by buffers, connects the serial channel to all storage cells in an associated storage element. The information associated with the spin wave is determined in response to propagating the spin wave through the spin wave bus.