Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  classify some p/sup k/-ary (p prime, k integer) generalized m-sequences and generalized Gordon-Mills-lch (GMW) sequences of period p/sup 2k/-1 over a residue class ring R=GF(p)[/spl xi/]/(/spl xi//sup k/) having optimal partial Hamming autocorrelation properties. In frequency hopping (FH) spread-spectrum systems, these sequences are useful for synchronizing process. Suppose, for example, that a transmitting p/sup k/-ary FH patterns of period p/sup 2k/-1 are correlated at a receiver. Usually, the length of a correlation window, denoted by L, is shorter than the pattern's overall period. In that case, the maximum value of the out-of-phase Hamming autocorrelation is lor-bounded by /spl lceil/L/p/sup k/+1/spl rceil/ but the classified sequences achieve this bound with equality for any positive integer L.
['Yu-Chang Eun', 'Seok-Yong Jin', 'Yun-Pyo Hong', 'Hong-Yeop Song']
I am writing a research paper on a idea Frequency hopping sequences with optimal partial autocorrelation properties
[{"from": "human", "value": "I am writing a research paper on a idea Frequency hopping sequences with optimal partial autocorrelation properties"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  classify some p/sup k/-ary (p prime, k integer) generalized m-sequences and generalized Gordon-Mills-lch (GMW) sequences of period p/sup 2k/-1 over a residue class ring R=GF(p)[/spl xi/]/(/spl xi//sup k/) having optimal partial Hamming autocorrelation properties. In frequency hopping (FH) spread-spectrum systems, these sequences are useful for synchronizing process. Suppose, for example, that a transmitting p/sup k/-ary FH patterns of period p/sup 2k/-1 are correlated at a receiver. Usually, the length of a correlation window, denoted by L, is shorter than the pattern's overall period. In that case, the maximum value of the out-of-phase Hamming autocorrelation is lor-bounded by /spl lceil/L/p/sup k/+1/spl rceil/ but the classified sequences achieve this bound with equality for any positive integer L."}]