By considering the frequency transition as a coding process, a new state diagram based distance property analysis algorithm for frequency transition function (FTF) is derived in this paper. In this new algorithm the distance property can be quickly obtained by solving the state equations derived from the transition process of the state diagram. It is confirmed that the BER performances of DFH systems which are decided by the distance properties of FTFs can be easily and effectively acquired. The new algorithm provides an efficient distance property analysis tool for the construction of FTF, it can help to optimize the design of a DFH system. Numerical simulation results support the theoretical analysis result of our algorithm.
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