The present invention relates to a method and system for glitch correction in an all digital phase lock loop. The minimum travel cost indicates a minimum value of electric power amount consumed by a battery when a vehicle travels a unit distance. A mode indicating information on a target to be focused is set. A selection circuit 26 causes each of the analog switchs S1 and S2 to be activated or deactivated. The sample sets may be, for example, from sequential symbols having a known symbol value, such as from the preamble portion of a data frame. Further, provided is a method for producing a high value product, C4 olefins from low cost n-butane by using the catalyst prepared by the method according to the present invention in a direct dehydrogenation reaction.