 | Hail fellows, well met...
I am looking for a sequence with a perfect periodic autocorrelation. I am familiar with M-Sequences, which are binary and get close to perfect correlation for large M. However, the sequence length is constrained to be 2^M-1.
Moving away from binary sequences, and allowing zero as a sequence element, there are such things as perfect ternary sequences [Hoholdt, 1983, IEEE Trans. Info. Theory]. However these are again constrained to of length
q^(2l-1) - 1 Length = ------------ q-1
can any of you comp.dsp'ers tell me if there are other sequences, binary, ternary or q-ary which have perfect periodic autocorrelation, but which are arbitary in length.
Cheers The Porterboy
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