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偽碼-線性調(diào)頻復(fù)合信號參數(shù)估計(jì)理論性能分析

王佩,  ?？?/a>,  唐斌

王佩, ?？? 唐斌. 偽碼-線性調(diào)頻復(fù)合信號參數(shù)估計(jì)理論性能分析[J]. 電子與信息學(xué)報(bào), 2016, 38(2): 472-477. doi: 10.11999/JEIT150523
引用本文: 王佩, ?？? 唐斌. 偽碼-線性調(diào)頻復(fù)合信號參數(shù)估計(jì)理論性能分析[J]. 電子與信息學(xué)報(bào), 2016, 38(2): 472-477. doi: 10.11999/JEIT150523
WANG Pei, ZHU Jun, TANG Bin. Theoretical Performance Analysis for Parameter Estimation of Hybrid Modulated Signal Combining Pseudo-random Binary-phase Code and Linear Frequency Modulation[J]. Journal of Electronics & Information Technology, 2016, 38(2): 472-477. doi: 10.11999/JEIT150523
Citation: WANG Pei, ZHU Jun, TANG Bin. Theoretical Performance Analysis for Parameter Estimation of Hybrid Modulated Signal Combining Pseudo-random Binary-phase Code and Linear Frequency Modulation[J]. Journal of Electronics & Information Technology, 2016, 38(2): 472-477. doi: 10.11999/JEIT150523

偽碼-線性調(diào)頻復(fù)合信號參數(shù)估計(jì)理論性能分析

doi: 10.11999/JEIT150523
基金項(xiàng)目: 

國家自然科學(xué)基金(61172116)

Theoretical Performance Analysis for Parameter Estimation of Hybrid Modulated Signal Combining Pseudo-random Binary-phase Code and Linear Frequency Modulation

Funds: 

The National Natural Science Foundation of China (61172116)

  • 摘要: 針對偽碼-線性調(diào)頻復(fù)合信號參數(shù)估計(jì)的理論性能評價(jià)問題，該文分析了分步估計(jì)方法對參數(shù)估計(jì)的影響，給出了較高信噪比時(shí)分步估計(jì)方法的理論近似性能；推導(dǎo)了高斯白噪聲環(huán)境中偽碼-線性調(diào)頻信號參數(shù)無偏估計(jì)的修正克拉美-羅下限(MCRLB)的解析表達(dá)式。利用偽碼序列的統(tǒng)計(jì)特征推導(dǎo)出起始頻率、調(diào)制斜率、初始相位及碼元寬度參數(shù)聯(lián)合估計(jì)的修正Fisher信息矩陣，從而得到各參數(shù)估計(jì)的MCRLB。對結(jié)果進(jìn)行了對比分析，并通過數(shù)值仿真實(shí)驗(yàn)，證明了該理論下限的有效性。
    Abstract: According to the theoretical performance for parameter estimators of a signal combined Pseudo-Random Binary-phase Code (PRBC) and Linear Frequency Modulation (LFM), this paper analyzes the impact of step-by- step method on the signal estimation problem and gives the analytical expressions of Modified Cramer-Rao Lower Bound (MCRLB) for parameter estimation of PRBC-LFM signal in white Gaussian noise. Using the statistical characteristics of PRBCs, the Fishers information matrix is derived for parameters including initial frequency, chirp rate, initial phase and code width. The MCRLBs are therefore calculated. The MCRLBs are analyzed by comparison and the validity is demonstrated by numerical simulation experiments.
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出版歷程
  • 收稿日期:  2015-05-06
  • 修回日期:  2015-10-09
  • 刊出日期:  2016-02-19

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