脈沖星計(jì)時(shí)殘差的影響因素研究
發(fā)布時(shí)間：2018-09-14 06:54
【摘要】：脈沖星時(shí)頻標(biāo)準(zhǔn)有成為天文時(shí)間標(biāo)準(zhǔn)的潛力，對(duì)脈沖星計(jì)時(shí)和導(dǎo)航的研究也越來越深入、廣泛，而脈沖星計(jì)時(shí)殘差的研究對(duì)脈沖星應(yīng)用的研究至關(guān)重要。通過對(duì)脈沖星計(jì)時(shí)殘差進(jìn)行時(shí)域和頻域的分析，可以得到脈沖星計(jì)時(shí)殘差的影響因素，進(jìn)而避免或者消除這些誤差影響，得到白化的更小的計(jì)時(shí)殘差，擬合得到精確的計(jì)時(shí)模型，精化脈沖星計(jì)時(shí)參數(shù)，更好的服務(wù)于脈沖星應(yīng)用研究。 本論文介紹了脈沖星計(jì)時(shí)數(shù)據(jù)處理與計(jì)時(shí)模型的擬合，通過實(shí)例分別分析了脈沖星計(jì)時(shí)參數(shù)誤差和非白化噪聲對(duì)計(jì)時(shí)殘差的影響，進(jìn)而通過理論和數(shù)據(jù)分析進(jìn)行闡述和驗(yàn)證。 對(duì)于脈沖星計(jì)時(shí)處理，通過合并觀測數(shù)據(jù)，折疊、消色散得到高信噪比脈沖輪廓，進(jìn)而得到脈沖星脈沖到達(dá)時(shí)間，然后經(jīng)過延遲項(xiàng)改正和坐標(biāo)時(shí)的轉(zhuǎn)化，與計(jì)時(shí)模型相位進(jìn)行比較，得到計(jì)時(shí)殘差，對(duì)計(jì)時(shí)殘差進(jìn)行線性奇異值分解和最小二乘擬合，尋找更優(yōu)的計(jì)時(shí)模型。 由于脈沖星的計(jì)時(shí)參數(shù)的誤差，會(huì)影響計(jì)時(shí)模型的準(zhǔn)確性，這又會(huì)反映在計(jì)時(shí)殘差中，文章通過不同的參數(shù)誤差對(duì)計(jì)時(shí)殘差的影響趨勢分析，，分別研究脈沖星的自轉(zhuǎn)參數(shù)、天體測量參數(shù)、雙星參數(shù)等參數(shù)的參數(shù)誤差對(duì)計(jì)時(shí)殘差的影響，得出自轉(zhuǎn)頻率、赤經(jīng)、赤緯、雙星軌道周期等一些參數(shù)對(duì)計(jì)時(shí)殘差的影響明顯，需要對(duì)這些參數(shù)進(jìn)行精確測量。同時(shí)我們可以根據(jù)得到的殘差的趨勢推測影響計(jì)時(shí)殘差的因素，進(jìn)而消除誤差影響。 最后討論對(duì)一些存在計(jì)時(shí)噪聲的殘差進(jìn)行白化。運(yùn)用差分預(yù)處理對(duì)紅噪聲進(jìn)行頻譜分析，通過傅里葉轉(zhuǎn)換得到聯(lián)合協(xié)方差矩陣，進(jìn)而得到楚列斯基轉(zhuǎn)換矩陣，對(duì)計(jì)時(shí)殘差進(jìn)行重復(fù)的白化；然后給出了對(duì)紅噪聲和白噪聲相當(dāng)?shù)挠?jì)時(shí)殘差進(jìn)行白化的方法，直接求其協(xié)方差矩陣，進(jìn)而通過楚列斯基方法進(jìn)行白化。通過研究可以得出，楚列斯基方法對(duì)含紅噪聲的計(jì)時(shí)殘差的白化效果明顯；相對(duì)于白化前殘差，對(duì)白化后的計(jì)時(shí)殘差進(jìn)行擬合，得到的計(jì)時(shí)模型更加精確。
[Abstract]:Pulsar time-frequency standard has the potential to become the astronomical time standard, and the research on pulsar timing and navigation is more and more in-depth, and the study of pulsar timing residuals is very important to the application of pulsars. By analyzing the pulsar timing residuals in time domain and frequency domain, the influencing factors of pulsar timing residuals can be obtained, and then these errors can be avoided or eliminated, and less whitening time residuals can be obtained. The precise timing model is obtained to refine the timing parameters of pulsars and to better serve the application research of pulsars. This paper introduces the processing of pulsar timing data and the fitting of timing model, analyzes the influence of pulsar timing parameter error and non-whitening noise on the timing residuals by examples, and then explains and verifies by theory and data analysis. For pulsar timing processing, the pulse profile of high SNR is obtained by combining observed data, folding and eliminating dispersion, and then the pulse arrival time is obtained, then the delay term is corrected and the coordinate is transformed. Compared with the timing model phase, the timing residuals are obtained, and the timing residuals are analyzed by linear singular value decomposition and least square fitting to find a better timing model. As the error of timing parameters of pulsar will affect the accuracy of timing model, which will be reflected in the timing residuals, the paper studies the rotation parameters of pulsars through the trend analysis of the influence of different parameter errors on timing residuals. The influence of parameter errors of parameters such as astrometric parameters and binary satellite parameters on the timing residuals is obtained. Some parameters, such as rotation frequency, longitude, latitude and binary orbit period, have obvious effects on the timing residuals, and these parameters need to be accurately measured. At the same time, we can infer the factors that affect the timing residuals according to the trend of the residual errors, and then eliminate the influence of errors. Finally, the whitening of some residuals with timing noise is discussed. The frequency spectrum of red noise is analyzed by differential preprocessing, and the joint covariance matrix is obtained by Fourier transform, and then the Trilesky transformation matrix is obtained, and the timing residuals are repeatedly whitened. Then, the method of whitening the time residuals of red noise and white noise is given, and the covariance matrix is obtained directly, and then whitened by Chulesky method. It can be concluded that the Chulesky method has obvious whitening effect on the timing residuals with red noise, and compared with the pre-whitening residuals, the timing residuals after whitening are fitted and the timing models obtained are more accurate.
【學(xué)位授予單位】：中國科學(xué)院研究生院（國家授時(shí)中心）
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2013
【分類號(hào)】：P145.6;P127.1
本文編號(hào)：2241890
[Abstract]:Pulsar time-frequency standard has the potential to become the astronomical time standard, and the research on pulsar timing and navigation is more and more in-depth, and the study of pulsar timing residuals is very important to the application of pulsars. By analyzing the pulsar timing residuals in time domain and frequency domain, the influencing factors of pulsar timing residuals can be obtained, and then these errors can be avoided or eliminated, and less whitening time residuals can be obtained. The precise timing model is obtained to refine the timing parameters of pulsars and to better serve the application research of pulsars. This paper introduces the processing of pulsar timing data and the fitting of timing model, analyzes the influence of pulsar timing parameter error and non-whitening noise on the timing residuals by examples, and then explains and verifies by theory and data analysis. For pulsar timing processing, the pulse profile of high SNR is obtained by combining observed data, folding and eliminating dispersion, and then the pulse arrival time is obtained, then the delay term is corrected and the coordinate is transformed. Compared with the timing model phase, the timing residuals are obtained, and the timing residuals are analyzed by linear singular value decomposition and least square fitting to find a better timing model. As the error of timing parameters of pulsar will affect the accuracy of timing model, which will be reflected in the timing residuals, the paper studies the rotation parameters of pulsars through the trend analysis of the influence of different parameter errors on timing residuals. The influence of parameter errors of parameters such as astrometric parameters and binary satellite parameters on the timing residuals is obtained. Some parameters, such as rotation frequency, longitude, latitude and binary orbit period, have obvious effects on the timing residuals, and these parameters need to be accurately measured. At the same time, we can infer the factors that affect the timing residuals according to the trend of the residual errors, and then eliminate the influence of errors. Finally, the whitening of some residuals with timing noise is discussed. The frequency spectrum of red noise is analyzed by differential preprocessing, and the joint covariance matrix is obtained by Fourier transform, and then the Trilesky transformation matrix is obtained, and the timing residuals are repeatedly whitened. Then, the method of whitening the time residuals of red noise and white noise is given, and the covariance matrix is obtained directly, and then whitened by Chulesky method. It can be concluded that the Chulesky method has obvious whitening effect on the timing residuals with red noise, and compared with the pre-whitening residuals, the timing residuals after whitening are fitted and the timing models obtained are more accurate.
【學(xué)位授予單位】：中國科學(xué)院研究生院（國家授時(shí)中心）
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2013
【分類號(hào)】：P145.6;P127.1
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