Ternary Chaotic Pulse Compression Sequences

In this paper method available for generating ternary sequences is discussed. These sequences are useful in many applications but specifically in synchronization of block codes and pulse compression in radar. The ternary sequences are derived from chaotic maps. It is feasible to achieve simultaneously superior performances in detection range and range resolution using the proposed ternary sequences. The properties of these sequences like autocor- relation function, Peak Side Lobe Ratio (PSLR), ambiguity diagram and performance under AWGN noise background has been studied. The generation of these sequences is much simpler, and the available number of sequences is virtually infinite and not limited by the length of the sequence.

[1]  A. Ashtari,et al.  Sufficient condition for chaotic maps to yield chaotic behavior after FM , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[2]  A. Ashtari,et al.  Radar signal design using chaotic signals , 2007, 2007 International Waveform Diversity and Design Conference.

[3]  G. Heidari-Bateni,et al.  Chaotic sequences for spread spectrum: an alternative to PN-sequences , 1992, 1992 IEEE International Conference on Selected Topics in Wireless Communications.

[4]  V. Reddy,et al.  Biphase Sequence Generation with Low Sidelobe Autocorrelation Function , 1986, IEEE Transactions on Aerospace and Electronic Systems.

[5]  Robert C. Hilborn,et al.  Chaos And Nonlinear Dynamics: An Introduction for Scientists and Engineers , 1994 .

[6]  P. S. Moharir,et al.  Ternary Pulse Compression Sequences , 1985 .

[7]  Weixian Liu,et al.  Chaotic phase code for radar pulse compression , 2001, Proceedings of the 2001 IEEE Radar Conference (Cat. No.01CH37200).

[8]  P. S. Moharir.  Ternary Barker codes , 1974 .

[9]  M. Skolnik,et al.  Introduction to Radar Systems , 2021, Advances in Adaptive Radar Detection and Range Estimation.

[10]  B. V. Rao,et al.  Why The Barker Sequence Bit Length Does Not Exceed Thirteen , 1988 .

[11]  Ann M. Boehmer,et al.  Binary pulse compression codes , 1967, IEEE Trans. Inf. Theory.

[12]  M. J. Rycroft,et al.  Radar signals: An introduction to theory and application , 1995 .

[13]  M. H. Ackroyd,et al.  Amplitude and phase modulated pulse trains for radar , 1971 .

[14]  J. Lindner,et al.  Binary sequences up to length 40 with best possible autocorrelation function , 1975 .