An embodiment of the present invention includes a method for generating a training sequence for joint frame synchronization and carrier frequency offset estimation and a communication system and method using the training sequence. In accordance with the invention the resonator includes the second material located concentrated in specific places of the resonator. The storage controller 2600 calculates an ideal utilization 3502 for each user, from the storage cost coefficients 3202 and the user cost distribution information 3402, and allocates, for each user, the ideal utilization 3502 to each of the storage apparatuses 1100, 1200 and 1300, in the order of the performance capabilities from highest to lowest. The turbo-expander train is configured to combust and expand gas to drive the first compressor. The polycrystalline silicon film is formed in the openings to connect electrically the thick-film semiconductor areas and the handle wafer together.