Abstract：In dual pulse repetition frequencies radar systems, mathematical deduction of the number of pulse repetition intervals required to satisfy quantitative requirements is presented to resolve velocity ambiguity. Multiple layer systems to increase the maximum unambiguous velocity are proposed. A new model of quadruple pulse repetition frequencies signal is proposed. The lower bound of the number of pulse repetition intervals required to satisfy quantitative requirements is deduced and quadruple pulse repetition frequencies signal is simplified as triplet pulse repetition frequencies signal. Simulation results validate the accuracy of our deduction.
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