Non-Binary Sequences with the Perfect Periodic Auto-Correlation and with Optimal Periodic Cross-Correlation
- 24 August 2005
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
We propose two families of complex sequences with components on the unit circle (PSK sequences). Each sequence of a family has the perfect auto-correlation, i.e., all "out-of-phase" correlation coefficients are equal to zero. Magnitudes of all cross-correlation coefficients of any couple of sequences in a family are equal to the square root of a sequence length n. Thus both families are asymptotically Optimal with respect to the Sidelnikov-Welch's lower bound.Keywords
This publication has 3 references indexed in Scilit:
- Bounds on crosscorrelation and autocorrelation of sequences (Corresp.)IEEE Transactions on Information Theory, 1979
- Lower bounds on the maximum cross correlation of signals (Corresp.)IEEE Transactions on Information Theory, 1974
- Polyphase codes with good nonperiodic correlation propertiesIEEE Transactions on Information Theory, 1963