Classes of optimal low-hit-zone frequency-hopping sequence sets with new parameters. (English) Zbl 1487.94096
Summary: In order to minimize or reduce the mutual interference, low-hit-zone (LHZ) frequency-hopping sequence (FHS) sets with optimal periodic partial Hamming correlation (PPHC) properties have been well applied in quasi-synchronous (QS) frequency-hopping multiple-access (FHMA) communication systems. Besides, to better meet the needs of different frequency-hopping communication scenarios, the research on LHZ-FHS sets with new flexible parameters has great significance. In this paper, via Cartesian product, two designs of LHZ-FHS sets are proposed. Meanwhile, we mainly concern the maximum PPHC of newly constructed LHZ-FHS sets. Then, through proper base FHS sets, four classes of LHZ-FHS sets with optimal PPHC properties and new parameters not included in the related literature are introduced.
MSC:
| 94A55 | Shift register sequences and sequences over finite alphabets in information and communication theory |
| 94B05 | Linear codes (general theory) |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
Keywords:
frequency-hopping sequence; low-hit-zone; Cartesian product; periodic partial Hamming correlation; frequency-hopping communicationReferences:
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