The method of measuring changes in the field profile of a physical quantity

摘要

A method of measuring a change in a field profile of a physical quantity using distributed sensors with a variable linear sensitivity function, characterized in that they use distributed sensors whose linear sensitivity function is performed according to the weight functions of spatial multi-band filter sensors, the transmission boundaries of which are set in accordance with the coverage of the subset of orth numbers Fourier series with the v-th value of the s-th digit of the 6-decimal code of the unit number from 0 to N-1, weight functions of multiband filters -sensors perform equal to the sum of the values of the normalized unit vectors in the passband, the coefficients of decomposition by the unit vectors of the profile change for a given time are determined by convolution during this time of the output signals of the multi-band filter sensors corresponding to the values of the b-ary nth bit code of the unit vectors, the convolution operations are performed simultaneously according to the tree diagram of the 6-deciphering coefficient coefficient ort, the change in the field profile of a physical quantity θ (x, t, T) during time T is calculated by the formula where x is the spatial coordinate on the profile from 0 to L; t is the current time; T is the integration time specified from the outside during which the change in the profile of the field of a physical quantity is measured; φ (x) is the unit vector of the Fourier series approximating the profile θ (x); i is the number of the unit vector in the b-ary code; а (t) is the current value of the coefficient of expansion of the profile in the unit vector φ (x); а (t, T) is the current change in the coefficient of decomposition of the profile in the unit vector φ (x) during time T: wherey (t) is the output signal s, v- multiband filter sensor, in the values of the input quantity corresponding to the v-th value of the s-th bit of the i-th unit number in the b-ary code; moreover, 1 is the highest bit, with in the case of using the basis of functions