Matyunin Andrew Yurievich
Taganrog Institute of Technology - Federal State-Owned Autonomy Educational Establishment of Higher Vocational Education Southern Federal University.
E-mail: stalker_dron_@mail.ru.
44, Nekrasovskiy, Taganrog, 347928, Russia.
Phone: +79185885779.
621.23.05
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F.I. Kuznetsov
ADAPTIVE METHOD OF EXTRAPOLATION OF THE DIGITIZED VALUES OF SENSORS OF PHYSICAL QUANTITY WITH THE LIMITED FORMAT
OF THE DATA
In this article the adaptive method of extrapolation of a variable with the limited format of the data is presented and equidistant knots. Adaptation consists in a choice of degree of the formula of extrapolation depending on variable change. For a choice of the formula of extrapolation is necessary on a priori known value of the transformed and tool errors. The special attention is given to effect of the transformed error on precision of extrapolation. Extrapolation formulas are constructed on the basis of a polynomial of Lagrange, in that special case coincide with Newton's interpolation formulas.
Extrapolation; adaptation.
() () [1].
.
k (k> 1). :
1) , ;
2) , - ;
3) ,
.
.
. 1.
1
r
1 u11(i+k) = 2ui - u(i -k) Ml1(i+k) = (kh)2 u[2](^)
2 * u12(i+k) = 3(ui - u(i-k)) + u(i-2k) M12(i+k) = (kh)3 u[3](^)
3 * u13(i+k) = 4ui - 6u(i-k) + 4u(i-2k) - u(i-3k) M*3(;+k) = (kh)4 u[4](^)
(. 2).
2
r
1 * u11(i+k) = ui +Aui
2 * _ 2 u12(i + k) = ui + + ui
3 * 2 3 u13(i+k) = ui + + ui + ui
u^:+,,,= +X .
_*
hr (i+k)
n=l
n n n n
= i (-1)m n ui_m.k = i(-1)mcnm ui_m.k. (i)
m=0 m!(n - m)! m=0
, . enoise, n
n
= V Cn
' Z-i^'m '-noise-
k m=0
-,
1
= 2 nAIUj -1.
n
n n c
= V Cn = V m
- ,,t0cm 02 "w -1
( ).
/
1


-
=0
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(2)
V 2 ( -1
(1) (2)
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= -1 (
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1
(3)
2 - V
. 1 .
/ (0 = (2* 1
200 03 +

0,3
N = 16 - .
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1. . . - : - , 2005. - 238 .
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» . .
E-mail: kafmps@ttpark.ru.
347900, . , . , 81.
.: 88634328025.
Kuznetsov Filipp Igorevich
Taganrog Institute of Technology - Federal State-Owned Autonomy Educational Establishment of Higher Vocational Education Southern Federal University.
E-mail: kafmps@ttpark.ru.
81, Petrovsky Street, Taganrog, 347900, Russia.
Phone: +78634328025.