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The aim of the article is to find the upper probability limit of the measurement results to correct disambiguation in case of multi-base phase direction finders, where all bases are ambiguous. Direction finding is done using the maximum likelihood method based on a set of measured phase differences and an algorithm of rejecting (erasing) abnormally large measurement errors. The theoretical background of the article is the maximum likelihood method applied to disambiguate results of the phase measurements in multi-base measuring systems. The physical meaning of the method is that if the disambiguation process is correct, the results of angular measurements for each base are grouped around the true value of bearing. The mathematical background of the article are methods of linear algebra based on the geometric interpretation of disambiguation measurement results. We obtained formulas for calculating upper bounds for the probability correct disambiguation of measurement results, which are applicable to direction finders with linear, planar and conformal antenna arrays. The obtained theoretical relations are exemplified by a numerical calculation of error probability including the upper bounds for a specific three-base direction finder 'bad' measurement results. The calculations proved effectiveness of the proposed algorithm, which depends on the accuracy of phase measurements. The proposed algorithm is applicable not only in case of the direction finders, but also for other multi-base phase measurements. The work may be interesting for designers of direction finders in terms of achievable accuracy of measurement results even if some of the results are rejected.


2017 ◽  
Vol 111 (16) ◽  
pp. 163105 ◽  
Author(s):  
Yukiko Ogawa ◽  
Satoshi Shindo ◽  
Yuji Sutou ◽  
Junichi Koike

2017 ◽  
Vol 135 ◽  
pp. 31-36 ◽  
Author(s):  
Guangyu Liu ◽  
Liangcai Wu ◽  
Min Zhu ◽  
Zhitang Song ◽  
Feng Rao ◽  
...  

2013 ◽  
Vol 36 (8) ◽  
pp. 1287-1291 ◽  
Author(s):  
H. Qu ◽  
M. C. R. Serrat ◽  
L. P. Christensen ◽  
J. Rantanen

2012 ◽  
Vol 98 (3) ◽  
pp. 104-108 ◽  
Author(s):  
Koki Nishioka ◽  
Naoyuki Suura ◽  
Ko-ichiro Ohno ◽  
Takayuki Maeda ◽  
Masakata Shimizu

2010 ◽  
Vol 50 (9) ◽  
pp. 1240-1244 ◽  
Author(s):  
Koki Nishioka ◽  
Naoyuki Suura ◽  
Ko-ichiro Ohno ◽  
Takayuki Maeda ◽  
Masakata Shimizu

2008 ◽  
Vol 368-372 ◽  
pp. 1126-1129 ◽  
Author(s):  
Hong Wei Liu ◽  
Long Zhang ◽  
Jian Jiang Wang ◽  
Xin Kang Du

A new near-net-shape technology, namely, self-reactive spray forming, to prepare ceramic preforms with low cost was proposed by combining the self-propagating high-temperature synthesis (SHS) with the metal spray forming. The feasibility of the technology was illustrated. And TiC-TiB2 -based structural ceramic was prepared by the new technology. The microstructure of the self-reactive spray formed preforms was analyzed. It was shown that the self-reactive spray formed preforms are composed of four kinds of structure, which takes on the characteristics of rapid solidification. They are griseous continuous base phase TiC0.3N0.7, black columnar grain TiB2 with the size of 100nm-1μm, white by-product phase TiO2 distributing along the boundary of the base phase, and a few of black anomalous pores respectively.


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