一類混沌跳頻序列的性能分析
The Performance Analysis of Chaotic Frequency-Hopping Sequences
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摘要: 對(duì)一類基于混沌映射，由混沌軌道多值量化和比特抽取相結(jié)合產(chǎn)生的跳頻序列進(jìn)行了性能分析。理論分析和統(tǒng)計(jì)性能實(shí)驗(yàn)表明，該方法構(gòu)造的跳頻序列是貝努利隨機(jī)序列，其漢明相關(guān)函數(shù)服從泊松分布。在相同的條件下(頻率數(shù)目和序列長度相同)，其均勻分布性、漢明相關(guān)值和線性復(fù)雜度與其它方法產(chǎn)生的混沌跳頻序列相當(dāng)，然而其所需的迭代次數(shù)卻大大減少，從而能夠產(chǎn)生更多的跳頻序列，非常適合在跳頻多址通信中應(yīng)用。
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關(guān)鍵詞:
- 跳頻序列;混沌映射;漢明相關(guān)函數(shù);線性復(fù)雜度
Abstract: The performance analysis of chaotic Frequency-Hopping (FH) sequences, which are generated by quantization function and reshaping operation based on chaotic map, is presented in this paper. Theory analysis and performance experimental at results show that this sequence is Bernoulli sequence and its Hamming correlation is shown to be Poisson distributed. It is comparable to other FH sequences on the properties of uniform distribution, Hamming correlation and linear complexity when they have the same number of frequency slots and the same period, but much less requirements of iterative operation. It can be concluded that more FH sequences can be generated by this method and they are suitable for FH code-division multiple-access systems. -
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