A package wrapping machine includes a wrapping station where film is to be manipulated during a packaging operation. A line is fit to multiple differential time values using a minimum delay principle. The improved timing acquisition of the present invention permits the Fast Fourier Transform operation to operate on the correctly aligned symbol for improved accuracy. A new family of solid fuel designer coals not found in nature can be produced via these methods and apparatus. In some embodiments, a communications device stores a set of device credentials for activating the communications device for a service on a network; and sends an access request to the network, the access request including the set of device credentials.