Design of perfect phase-quantized sequences with low peak-to-average-power ratio

Perfect phase-quantized unimodular sequences with entries in {x ϵ C|x
^m
= 1} have optimal peak-to-average-power ratio (PAR); however, they are extremely rare. For active sensing or communication systems which are able to tolerate sub-optimal PAR values, we show how to construct phase-quantized sequences possessing both virtually perfect periodic autocorrelation and low PAR. Numerical examples are provided to illustrate the performance of the proposed methods.