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METHOD FOR DETERMINING calibration matrix ternary MAGNETOMETER (optional)
METHOD FOR DETERMINING calibration matrix ternary MAGNETOMETER (optional)
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机译:确定校准矩阵三元磁表的方法(可选)
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1.method u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 calibration matrix u0442u0440u0435u0445u043au043eu043cu043fu043eu043du0435u043du0442u043du043eu0433u043e u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, comprising placing the sensor in the center of model u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 raw measures magnetic induction, orientation sensitive axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 along the axes of action, the compensation of external magnetic u043fu043eu043bu00a0, display, measure accurate u0437u043du0430u0447u0435u043du0438u00a0 m u0430u0433u043du0438u0442u043du043eu0439 induction along each axis.the registration of all component results u0438u0437u043cu0435u0440u0435u043du0438u00a0 out u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, respective magnetic field, u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u0438u043cu043eu043cu0443 measure to spare at the matrix of boric u043du043eu0440u043cu0438u0440u043eu0432u0430u043du043du044bu0445 vector columns of results u0438u0437u043cu0435u0440u0435u043du0438u00a0 and use its u0434u043bu00a0 u043du0430u0445u043eu0436u0434u0435u043du0438u00a0 calibration matrix, u043eu0442u043bu0438u0447u0430u044eu0449u0438u0439u0441u00a0, forward rect, u0438u0441u043fu043eu043bu044cu0437u0443u00a0 independent modular magnetometer.u0438u0437u043cu0435u0440u00a0u044eu0442 u043du0435u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0441u0442u0438 axes model measures, which u0441u0442u0440u043eu00a0u0442 matrix of measures bu043c, own u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0439 coordinates action, then the action is u0441u0442u0430u043du0430u0432u043bu0438u0432u0430u044eu0442 u043au0430u043bu0438u0431u0440u0443u0435u043cu044bu0439 3-component fluxgate magnetic field and u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u00a0u0442 u0432u043ci alternately in positive and negative u043fu043eu043bu00a0u0440u043du043eu0441u0442u0438 along each axis measuresthe corresponding results are u0438u0437u043cu0435u0440u0435u043du0438u00a0 three component at the outlet of u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 and u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 normal dashboard u043fv matrix formula;u043fv = [(Vuu043c1 + - Vuu043c1 -) / 2u0432u043c1 (Vuu043c2 + - Vuu043c2 -) / 2u0432u043c2 (Vuu043c3 + - Vuu043c3 -) / 2u0432u043c3];where Vuu043ci +, Vuu043ci - vector columns of u0438u0437u043cu0435u0440u0435u043du0438u00a0 u043du0430u043fu0440u00a0u0436u0435u043du0438u00a0 out u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, corresponding magnetic field, u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u0438u043cu043eu043cu0443 measure with positive and the negative u043fu043eu043bu00a0u0440u043du043eu0441u0442u0438;;then u043du0430u0445u043eu0434u00a0u0442 sensitivity matrix u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 yes in its own coordinate system measures by the formula;and decompose it to work;yes = s Iu043c,;where s = (s1 s2 s3) - u0434u0438u0430u0433u043eu043du0430u043bu044cu043du0430u00a0 sensitivity matrix u0440u0430u0437u043cu0435u0440u043du043eu0441u0442u044cu044e / t;;matrix singular u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 sensitive axes in the form of vector lines Iiu043c in its own coordinate system measures;;with what u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 three u043du0435u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0441u0442u0438 axes u0435ij formula;eij = (li1lj1 + li2lj2 + li3lj3) m;;the u0441u0442u0440u043eu00a0u0442 matrix axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 i0 in his own u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0439 coordinate system, in which the u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 sensitivity matrix S0 = s i0, and u043du0430u0445u043eu0434u00a0u0442 ip u043au043eu043cu0443u044e calibration matrix.;2.method u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 calibration matrix u0442u0440u0435u0445u043au043eu043cu043fu043eu043du0435u043du0442u043du043eu0433u043e u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, comprising placing the sensor in the center of model u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 raw measures magnetic induction, orientation sensitive axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 along the axes of action, the compensation of external magnetic u043fu043eu043bu00a0, display, measure accurate u0437u043du0430u0447u0435u043du0438u00a0 m u0430u0433u043du0438u0442u043du043eu0439 induction along each axis.the registration of all component results u0438u0437u043cu0435u0440u0435u043du0438u00a0 out u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, respective magnetic field, u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u0438u043cu043eu043cu0443 measure to spare at the matrix of boric u043du043eu0440u043cu0438u0440u043eu0432u0430u043du043du044bu0445 vector columns of results u0438u0437u043cu0435u0440u0435u043du0438u00a0 and use its u0434u043bu00a0 u043du0430u0445u043eu0436u0434u0435u043du0438u00a0 calibration matrix, u043eu0442u043bu0438u0447u0430u044eu0449u0438u0439u0441u00a0, forward rect, u0438u0441u043fu043eu043bu044cu0437u0443u00a0 independent modular magnetometer.u0438u0437u043cu0435u0440u00a0u044eu0442 u043du0435u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0441u0442u0438 axes model measures, which u0441u0442u0440u043eu00a0u0442 matrix of measures bu043c in own u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0439 coordinate system measure, then the measure cs u0442u0430u043du0430u0432u043bu0438u0432u0430u044eu0442 u043au0430u043bu0438u0431u0440u0443u0435u043cu044bu0439 3-component fluxgate magnetic field and u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u00a0u0442 u0432u043ci alternately in positive and negative u043fu043eu043bu00a0u0440u043du043eu0441u0442u0438 along each of the si measuresthe corresponding results are u0438u0437u043cu0435u0440u0435u043du0438u00a0 three component at the outlet of u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 and u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 normal dashboard u043fv matrix formula;u043fv = [(Vuu043c1 + - Vuu043c1 -) / 2u0432u043c1 (Vuu043c2 + - Vuu043c2 -) / 2u0432u043c2 (Vuu043c3 + - Vuu043c3 -) / 2u0432u043c3];where Vuu043ci +, Vuu043ci - vector columns of u0438u0437u043cu0435u0440u0435u043du0438u00a0 u043du0430u043fu0440u00a0u0436u0435u043du0438u00a0 out u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, corresponding magnetic field, u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u0438u043cu043eu043cu0443 measure with positive and the negative u043fu043eu043bu00a0u0440u043du043eu0441u0442u0438;;then u043du0430u0445u043eu0434u00a0u0442 calibration matrix u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 Ku043c in its own coordinate system measures as follows:;and decompose it to work;Ku043c = hu043cK,;where hu043c = (h h2 h3) m - matrix isolated sensitive axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 as vector columns hiu043c in its own coordinate system measures;;k = (k1 k2 K3) - u0434u0438u0430u0433u043eu043du0430u043bu044cu043du0430u00a0 u043au0430u043bu0438u0431u0440u043eu0432u043eu0447u043du0430u00a0 matrix with u0440u0430u0437u043cu0435u0440u043du043eu0441u0442u044cu044e t / in;;with what u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 three u043du0435u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0441u0442u0438 axes ij formula:;ij = (h1ih1j + h2ih2j + h3ih3j);the u0441u0442u0440u043eu00a0u0442 matrix axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 h0 in his own u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0439 coordinate system in which the desired calibration matrix u043du0430u0445u043eu0434u00a0u0442 Kh0 = h0K.;3.method u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 calibration matrix u0442u0440u0435u0445u043au043eu043cu043fu043eu043du0435u043du0442u043du043eu0433u043e u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, comprising placing the sensor in the center of model u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 raw measures magnetic induction, orientation sensitive axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 along the axes of action, the compensation of external magnetic u043fu043eu043bu00a0, display, measure accurate u0437u043du0430u0447u0435u043du0438u00a0 m u0430u0433u043du0438u0442u043du043eu0439 induction along each axis.the registration of all component results u0438u0437u043cu0435u0440u0435u043du0438u00a0 out u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, respective magnetic field, u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u0438u043cu043eu043cu0443 measure to spare at the matrix of boric u043du043eu0440u043cu0438u0440u043eu0432u0430u043du043du044bu0445 vector columns of results u0438u0437u043cu0435u0440u0435u043du0438u00a0 and use its u0434u043bu00a0 u043du0430u0445u043eu0436u0434u0435u043du0438u00a0 calibration matrix, u043eu0442u043bu0438u0447u0430u044eu0449u0438u0439u0441u00a0, forward rect, u0438u0441u043fu043eu043bu044cu0437u0443u00a0 independent modular magnetometer.u0438u0437u043cu0435u0440u00a0u044eu0442 u043du0435u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0441u0442u0438 axes model measures, which u0441u0442u0440u043eu00a0u0442 matrix of measures bu043c in own u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0439 coordinate system measure, then the measure cs the test u0442u0430u043du0430u0432u043bu0438u0432u0430u044eu0442 3-component fluxgate magnetic field and u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u00a0u0442 u0432u043ci alternately in positive and negative u043fu043eu043bu00a0u0440u043du043eu0441u0442u0438 along each os and the measuresthe corresponding results are u0438u0437u043cu0435u0440u0435u043du0438u00a0 three component at the outlet of u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 and u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 normal dashboard fw matrix formula;fw = [(u0432uu043c1 + - u0432uu043c1 -) / 2u0432u043c1 (u0432uu043c2 + - u0432uu043c2 -) / 2u0432u043c2 (u0432uu043c3 + - u0432uu043c3 -) / 2u0432u043c3];where u0432uu043ci +, u0432uu043ci + vector columns of results u0438u0437u043cu0435u0440u0435u043du0438u00a0 magnetic induction at the outlet u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, corresponding magnetic field, u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u0438u043cu043eu043cu0443 measure in u043fu043eu043bu043eu0436 u0438u0442u0435u043bu044cu043du043eu0439 and negative u043fu043eu043bu00a0u0440u043du043eu0441u0442u0438;;then u043du0430u0445u043eu0434u00a0u0442 u0438u0441u043au0430u0436u0430u044eu0449u0443u044e matrix u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 in its own coordinate system measures on the formula;and decompose it to work;they Iu043c = l,;where l = (l1 l2 l3) - u0434u0438u0430u0433u043eu043du0430u043bu044cu043du0430u00a0 matrix u0431u0435u0437u0440u0430u0437u043cu0435u0440u043du044bu0445 coefficients slightly;u043eu0442u043bu0438u0447u0430u044eu0449u0438u0445u0441u00a0 of units;;matrix singular u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 sensitive axes in the form of vector lines Iiu043c in its own coordinate system measures;;with what u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 three u043du0435u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0441u0442u0438 axes u0435ij formula;eij = (li1lj1 + li2lj2 + li3lj3) m;the u0441u0442u0440u043eu00a0u0442 matrix axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 i0 in his own u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0439 coordinate system, in which the u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 u0438u0441u043au0430u0436u0430u044eu0449u0443u044e u04380 = l i0 and u043du0430u0445u043eu0434u00a0u0442 sought calibre complete the matrix.;4.method u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 calibration matrix u0442u0440u0435u0445u043au043eu043cu043fu043eu043du0435u043du0442u043du043eu0433u043e u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, comprising placing the sensor in the center of model u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 raw measures magnetic induction, orientation sensitive axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 along the axes of action, the compensation of external magnetic u043fu043eu043bu00a0, display, measure accurate u0437u043du0430u0447u0435u043du0438u00a0 m u0430u0433u043du0438u0442u043du043eu0439 induction along each axis.the registration of all component results u0438u0437u043cu0435u0440u0435u043du0438u00a0 out u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, respective magnetic field, u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u0438u043cu043eu043cu0443 measure to spare at the matrix of boric u043du043eu0440u043cu0438u0440u043eu0432u0430u043du043du044bu0445 vector columns of results u0438u0437u043cu0435u0440u0435u043du0438u00a0 and use its u0434u043bu00a0 u043du0430u0445u043eu0436u0434u0435u043du0438u00a0 calibration matrix, u043eu0442u043bu0438u0447u0430u044eu0449u0438u0439u0441u00a0, forward rect, u0438u0441u043fu043eu043bu044cu0437u0443u00a0 independent modular magnetometer.u0438u0437u043cu0435u0440u00a0u044eu0442 u043du0435u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0441u0442u0438 axes model measures, which u0441u0442u0440u043eu00a0u0442 matrix of measures bu043c in own u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0439 coordinate system measure, then the measure cs the test u0442u0430u043du0430u0432u043bu0438u0432u0430u044eu0442 3-component fluxgate magnetic field and u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u00a0u0442 u0432u043ci alternately in positive and negative u043fu043eu043bu00a0u0440u043du043eu0441u0442u0438 along each os and the measuresthe corresponding results are u0438u0437u043cu0435u0440u0435u043du0438u00a0 three component at the outlet of u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 and u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 normal dashboard fw matrix formula;fw = [(u0432uu043c1 + - u0432uu043c1 -) / 2u0432u043c1 (u0432uu043c2 + - u0432uu043c2 -) / 2u0432u043c2 (u0432uu043c3 + - u0432uu043c3 -) / 2u0432u043c3];where u0432uu043ci +, u0432uu043ci + vector columns of results u0438u0437u043cu0435u0440u0435u043du0438u00a0 magnetic induction at the outlet u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430, corresponding magnetic field, u0432u043eu0441u043fu0440u043eu0438u0437u0432u043eu0434u0438u043cu043eu043cu0443 measure in u043fu043eu043bu043eu0436 u0438u0442u0435u043bu044cu043du043eu0439 and negative u043fu043eu043bu00a0u0440u043du043eu0441u0442u0438;;then u043du0430u0445u043eu0434u00a0u0442 calibration matrix u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 in its own coordinate system measures km formula;and decompose it to work;km = hu043ck,;where hu043c = (h h2 h3) m - matrix isolated sensitive axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 as vector columns hiu043c in its own coordinate system measures;;k = (k1 k2 k3) - u0434u0438u0430u0433u043eu043du0430u043bu044cu043du0430u00a0 u0431u0435u0437u0440u0430u0437u043cu0435u0440u043du044bu0445 matrix coefficients of.;then u043eu043fu0440u0435u0434u0435u043bu00a0u044eu0442 three u043du0435u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0441u0442u0438 axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 ij formula;ij = (h1ih1j + h2ih2j + h3ih3j);the u0441u0442u0440u043eu00a0u0442 matrix axes u043cu0430u0433u043du0438u0442u043eu043cu0435u0442u0440u0430 h0 his own u043eu0440u0442u043eu0433u043eu043du0430u043bu044cu043du043eu0439 coordinate system in which the desired calibration matrix u043du0430u0445u043eu0434u00a0u0442 kh0 = h0k.
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