基于MUSIC算法的二次雷達(dá)應(yīng)答信號分離方法

張海; 陳小龍; 張濤; 張財(cái)生

doi:10.11999/JEIT190842

基于MUSIC算法的二次雷達(dá)應(yīng)答信號分離方法

doi: 10.11999/JEIT190842

張海¹,
陳小龍¹,
張濤^{1, 2, ,},
張財(cái)生¹

1.
海軍航空大學(xué) 煙臺 264001
2.
92337部隊(duì) 大連 116023

基金項(xiàng)目: 國家自然科學(xué)基金(U1933135, 61871391, 61931021)；山東省重點(diǎn)研發(fā)計(jì)劃(2019GSF111004)

詳細(xì)信息

作者簡介:
張海：男，1976年生，副教授，研究方向?yàn)槔走_(dá)信號處理、雷達(dá)目標(biāo)特性等

陳小龍：男，1985年生，副教授，研究方向?yàn)槔走_(dá)動(dòng)目標(biāo)檢測、海雜波抑制、雷達(dá)信號精細(xì)化處理等

張濤：男，1986年生，工程師，研究方向?yàn)锳DS-B系統(tǒng)設(shè)計(jì)及信號處理等

張財(cái)生：男，1983年生，講師，研究方向?yàn)槔走_(dá)信號處理、ADS-B信號處理等

通訊作者:
張濤　radarads@sina.com

中圖分類號: TN958.96; V19
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出版歷程
- 收稿日期: 2019-11-01
- 修回日期: 2020-03-20
- 網(wǎng)絡(luò)出版日期: 2020-04-10
- 刊出日期: 2020-12-08

Overlapping Secondary Surveillance Radar Replies Separation Algorithm Based on MUSIC

1.
Naval Aviation University, Yantai 264001, China
2.
92337 Troop, Dalian 116023, China

Funds: The National Nature Science Foundation of China (U1933135, 61871391, 61931021), The Key Research and Development Program of Shandong Province (2019GSF111004)

摘要

摘要: 為了提高在高密度信號環(huán)境下對二次監(jiān)視雷達(dá)(SSR)應(yīng)答信號的接收性能，該文提出一種將信源數(shù)估計(jì)和信號到達(dá)方向(DOA)估計(jì)相結(jié)合構(gòu)建分離矩陣實(shí)現(xiàn)交疊信號分離的算法。首先根據(jù)交疊信號量測的特征值分布來確定交疊信號的個(gè)數(shù)；然后利用MUSIC算法作譜峰搜索得到各信號的DOA，并重構(gòu)混合矩陣；最后通過計(jì)算混合矩陣的廣義逆得到分離矩陣，并實(shí)現(xiàn)對交疊信號的分離。以6陣元均勻線陣為前提進(jìn)行仿真分析，結(jié)果表明所提分離算法可達(dá)到90%以上的分離成功率，分離性能和獨(dú)立成分分析(ICA)算法相當(dāng)，優(yōu)于基于投影技術(shù)分離算法(PA)，但計(jì)算量遠(yuǎn)小于ICA算法，不足ICA算法計(jì)算量1/10，更易于工程化應(yīng)用。
- 交疊信號分離 /
- 陣列天線 /
- SSR應(yīng)答信號 /
- MUSIC算法 /
- 混合矩陣重構(gòu)
Abstract: In order to improve the reception performance of Secondary Surveillance Radar (SSR) replies in high-density signal environment, a separation algorithm is proposed, which constructs the separating matrix with estimating the source number and the Direction Of Arrival (DOA) of signal. Firstly, the number of overlapping signals is determined with the eigenvalues distribution of the measurements. Secondly, the mixing matrix with the DOA of signals, which is estimated by peak value searching in MUSIC algorithm. Finally, the separating matrix is estimated by calculating the Moore-Penrose inverse of the reconstructed mixing matrix, achieving separation of overlapping signals. Simulation is done based on uniform linear array with 6 elements. The results show that the proposed separation algorithm can achieve more than 90% success rate to separate two short Mode S replies, and the separating performance is similar to the Independent Component Analysis (ICA) algorithm and is better than Projection Algorithm (PA). The amount of calculation is less than 10 percent of ICA algorithm, thus the proposed separation algorithm is easier to engineering application.
- Overlapping signal Separation /
- Array antenna /
- Secondary Surveillance Radar (SSR) replies /
- MUSIC algorithm /
- Mixing matrix reconstruction

HTML全文

圖 1 SSR應(yīng)答信號四重交疊

下載: 全尺寸圖片幻燈片

圖 2 特征值分布及信號的空間譜

下載: 全尺寸圖片幻燈片

圖 3 不同測向誤差下的失敗率和誤碼率

下載: 全尺寸圖片幻燈片

圖 4 不同測向誤差下的失敗率和誤碼率(完全交疊)

下載: 全尺寸圖片幻燈片

圖 5 不同交疊程度下的不同算法的分離失敗率

下載: 全尺寸圖片幻燈片

圖 6 不同交疊程度下的不同算法的誤碼率

下載: 全尺寸圖片幻燈片

表 1 交疊信號個(gè)數(shù)檢測正確概率(%)

DOA	4 dB	8 dB	12 dB	16 dB	20 dB
0°	93.63	95.84	97.51	98.61	99.17
15°	93.07	95.84	96.95	97.78	98.89
30°	92.80	95.29	96.40	97.23	98.61
45°	90.86	93.91	95.84	96.40	98.34
60°	85.87	91.97	95.29	95.29	98.06
75°	72.58	78.95	87.81	93.91	97.51
90°	71.75	77.84	82.55	86.70	90.03

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