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基于多項式相位信號的參數(shù)估計算法研究

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  本文選題:多相位信號 + 相位參數(shù)估計。 參考:《電子科技大學(xué)》2016年碩士論文


【摘要】:多相位信號廣泛應(yīng)用于當(dāng)代的雷達(dá)、通信、生物醫(yī)學(xué)領(lǐng)域、地震勘測和聲吶系統(tǒng)中。因此,基于噪聲干擾下多項式相位信號的時頻分析與參數(shù)估計問題也成為信號處理領(lǐng)域的研究熱點之一。經(jīng)過近幾十年的研究,基于單分量、多分量的多項式相位信號已經(jīng)形成了較為完善的時頻分析和參數(shù)估計理論。隨著研究的深入,傳統(tǒng)的算法已無法滿足實際應(yīng)用與研究中對參數(shù)估計高精度需求,同時,傳統(tǒng)方法也面臨著處理多分量信號過程中呈現(xiàn)出的交錯項干擾、信號間串?dāng)_等問題。因此,如何抑制多分量信號干擾并提高參數(shù)估計性能成為了信號參數(shù)估計的重點研究對象。本文對此作了如下工作:1.基于單分量多相位信號提出了乘積性三次相位函數(shù)拓展方法,利用乘積性方法對噪聲干擾的抑制性,實現(xiàn)三次相位信號在低信噪比下的參數(shù)估計,同時提高參數(shù)估計精度。2.研究并通過仿真驗證了三次相位函數(shù)拓展方法在估計多分量多相位信號時的局限性;分析了乘積性三次相位函數(shù)拓展方法在抑制三次相位函數(shù)拓展方法下交錯項干擾上的特性,及其在提高參數(shù)估計的精度上的優(yōu)勢,指出了該方法在參數(shù)匹配上的不足;最后,綜合上述問題,提出了一種基于乘積性非線性變換的三階相位信號參數(shù)估計與檢測方法,采用乘積性方法增強信號自項并弱化交叉項,利用依次濾波方法實現(xiàn)信號分離,從而解決了三次相位函數(shù)拓展方法與乘積性三次相位函數(shù)拓展方法在多分量多相位信號參數(shù)估計中的缺陷,提高低信噪比下的參數(shù)估計性能。3.研究并證實了三次相位函數(shù)隨機變換方法、乘積性混合非線性變換方法在估計參數(shù)相近混合信號時的局限性,提出了組合三次相位函數(shù)隨機變換方法來抑制前兩種方法下的信號間串?dāng)_,提高了在低信噪比條件下混合多相位信號的參數(shù)估計性能。4.結(jié)合捷變頻仿真信號和捷變頻非合作雷達(dá)實測信號給出了乘積性三次相位函數(shù)方法下重構(gòu)并抑制直達(dá)波信號的時頻分析圖,通過信號抑制前后的時域?qū)Ρ葓D證實了該方法在重構(gòu)信號上的實用性。
[Abstract]:Polyphase signals are widely used in modern radar, communication, biomedical, seismic survey and sonar systems. Therefore, the time-frequency analysis and parameter estimation of polynomial phase signals based on noise interference have become one of the research hotspots in the field of signal processing. After decades of research, the polynomial phase signal based on single component and multi-component has formed a more perfect theory of time-frequency analysis and parameter estimation. With the development of the research, the traditional algorithm can not meet the requirement of high precision parameter estimation in practical application and research. At the same time, the traditional method is faced with the problems of interlaced interference and inter-signal crosstalk in the process of dealing with multi-component signals. Therefore, how to suppress multi-component signal interference and improve the performance of parameter estimation has become the focus of research on signal parameter estimation. This paper does the following work: 1. Based on the single-component multi-phase signal, a new method of expanding the product cubic phase function is proposed. By using the product method to suppress the noise interference, the parameter estimation of the cubic phase signal at low signal-to-noise ratio is realized, and the precision of parameter estimation is improved at the same time. The limitation of cubic phase function expansion method in estimating multi-component multi-phase signals is studied and verified by simulation, and the characteristics of product cubic phase function expansion method in suppressing interlaced interference under cubic phase function expansion method are analyzed. And its advantages in improving the accuracy of parameter estimation, pointing out the shortcomings of the method in parameter matching. Finally, a method for parameter estimation and detection of third-order phase signals based on product nonlinear transformation is proposed. The product method is used to enhance the signal self-term and weaken the crossover term, and the sequential filtering method is used to separate the signal. Thus, the defects of cubic phase function expansion method and product cubic phase function expansion method in multi-component multi-phase signal parameter estimation are solved, and the performance of parameter estimation under low signal-to-noise ratio is improved. The limitations of the cubic phase function random transformation method and the product mixed nonlinear transformation method in estimating the mixed signals with similar parameters are studied and verified. A combined cubic phase function random transformation method is proposed to suppress the crosstalk between the first two methods and improve the parameter estimation performance of mixed multi-phase signals under low signal-to-noise ratio (SNR). The time-frequency analysis diagram of reconstruction and suppression of direct wave signal under the method of product cubic phase function is given by combining agile frequency simulation signal and measured signal of agile non-cooperative radar. The practicability of this method in reconstruction signal is proved by time domain contrast diagram before and after signal suppression.
【學(xué)位授予單位】:電子科技大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2016
【分類號】:TN911.7

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