Software lineages arise through purchase and reproduction. Switching between the two I2C paths is achieved by using a redundant control device, which performs the switch by tracking if incoming data transfers were completed with I2C stop condition. The apparatus is further arranged to record data and a primary data organizing system wherein the data is organized. The first accumulated signal is then quantized, creating a first quantized digital signal y0. Therefore, a projection TV that is very high in reliability can be realized.