基于中國(guó)余數(shù)定理的跳頻信號(hào)相時(shí)延估計(jì)方法

趙培焱; 歐陽鑫信; 彭華峰

doi:10.11999/JEIT170544

基于中國(guó)余數(shù)定理的跳頻信號(hào)相時(shí)延估計(jì)方法

doi: 10.11999/JEIT170544

1.
(盲信號(hào)處理重點(diǎn)實(shí)驗(yàn)室成都 610041)

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出版歷程
- 收稿日期: 2017-06-07
- 修回日期: 2017-11-03
- 刊出日期: 2018-03-19

A Phase Delay Estimation Algorithm of Frequency Hopping Signal Based on Chinese Reminder Theorem

1.
(National Key Laboratory of Science and Technology on Blind Signal Processing, Chengdu 610041, China)

摘要

摘要: 跳頻信號(hào)每跳帶寬窄且多跳間積累困難，利用傳統(tǒng)方法對(duì)其時(shí)延估計(jì)精度都很低。針對(duì)該問題，該文充分挖掘跳頻信號(hào)寬跳帶的潛能，建立了多頻點(diǎn)相時(shí)延估計(jì)模型，把時(shí)延估計(jì)問題轉(zhuǎn)化為整周模糊求解問題；然后在解模糊過程中引入中國(guó)余數(shù)定理，針對(duì)非合作場(chǎng)景中模數(shù)無法選擇的問題，提出一種基于虛擬頻點(diǎn)的干涉相位外推方法，構(gòu)造出魯棒中國(guó)余數(shù)定理的適用條件；最后采用閉式魯棒中國(guó)余數(shù)定理解算整周模糊，得到高精度的相時(shí)延。該方法具有精度高、運(yùn)算量小、不依賴于信道衰落特性的優(yōu)點(diǎn)。仿真結(jié)果驗(yàn)證了所提模型及方法的有效性和正確性。
- 相時(shí)延 /
- 跳頻信號(hào) /
- 干涉相位 /
- 中國(guó)余數(shù)定理 /
- 虛擬頻點(diǎn)
Abstract: The bandwidth of each hop in frequency hopping signal is very narrow, and the accumulating between multiple hop is difficult, thus the accuracy of time delay estimation for frequency hopping is low. To deal with the problem, the potential of wide band hopping of frequency hopping signal is fully exploited. A multi-frequency phase delay estimation model is established, and the problem of time delay estimation is transformed into ambiguity resolution. Then, Chinese Remainder Theorem (CRT) is used to solve the ambiguity, but in the non-cooperation scene the module can not be chosen easily, thus an extrapolation method for interferometric phase based on virtual frequency is proposed to relax the constraint of module selection. Finally, the closed-form Robust Chinese Remainder Theorem (RCRT) is used to solve the ambiguity, and the phase delay is obtained with high accuracy. Compared with the conventional algorithm, the proposed algorithm has the advantages of high precision, low computation complexity and independence on the propagation characteristics of the channel. The simulation results verify the validity and correctness of the proposed model and algorithm.
- Phase delay /
- Frequency hopping signal /
- Interferometric phase /
- Chinese Remainder Theorem (CRT) /
- Virtual frequency

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