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Perfect discrete signal and it's design play key roles among many modern communication fields. A new perfect discrete signal is advanced in this paper, which is named perfect punctured binary sequence pairs(PPBSP).The properties and the combinatorial admissibility conditions of PPBSP are presented. We apply them to frame synchronization of digital communication by their good cross-correlation properties. The results produced from the computer simulation are found that PPBSP are good for frame synchronization.