On the Perfect Cyclically Conjugated Even and Odd Periodic Autocorrelation Properties of Quaternary Golay Sequences
نویسندگان
چکیده
A sequence is called perfect if its autocorrelation function is a delta function. In this paper, we give a new definition of autocorrelation function: generalized even and odd periodic autocorrelation, and generalized even and odd periodic cyclically conjugated autocorrelation. In particular, we study a special case of autocorrelation function called cyclically conjugated autocorrelation function. As a result, we present several classes of perfect cyclically conjugated even periodic and odd periodic autocorrelation of quaternary Golay sequences. We also considered such perfect property for 4-QAM Golay sequences, q ≥ 2 being an integer. Those proposed sequences could be used for synchronization and detection if the time delay is known.
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