Loftsson, J. | Engineering Papers

NASA NTRS1985

Periodic binary sequences with very good autocorrelation properties

Computer searches were performed using both an 8086 microprocessor and a Cyber 750 mainframe to find repeated binary phase coded waveforms with very good matched and mismatched autocorrelation properties. The best results for every period up to 64 are given. Sequences with optimal peak sidelobes were discovered for each of these periods. These sequences have extensive applications in radar and communications, particularly in situations when there are very unfavorable signal-to-noise ratios. The best sequence of period 64 when processed using a mismatched filter giving no sidelobes has a reduction in the main lobe of less than 0.23 dB.

Tyler, S.↗

NASA NTRS1985

A binary sequence of period 60 with better autocorrelation properties than the Barker sequence of period 13

A binary sequence of period 60 has been discovered which in some respects has better autocorrelation properties than the Barker sequence of period 13. When both sequences are processed using appropriate sidelobe-eliminating mismatched filters, the Barker sequence's main lobe is reduced by a factor of 1.040 or 0.17 dB, while the new sequence's main lobe is reduced by a factor of only 1.035 or 0.15 dB. This sequence is the first counterexample known to the authors of the hypothesis that the autocorrelation properties of all sequences of periods greater than 13 are inferior to those of the Barker period-13 sequences. Sequences of this type are very useful in radar and deep space communications, especially in situations where there is an adverse signal to noise ratio.

Watkins, J.↗