In addition the (N Â 1)-dimension vector T
TðiÞ ¼ H i ;
(7.23)
that contains all measured values of the desired field. Then the matrix D and vector
m from the Eq. 7.19 might be obtained with the following relations:
D ¼ A Â A
t
; m ¼ A Â T,
(7.24)
where the letter “t” denotes transposed matrix.
It is useful normalizing table data (x, y and H) over the interval [À1, þ1] for
decreasing uncertainty, when calculating polynomial coefficients, according to the
following formula:
p n ¼ 2
p À p min
p max À p min
À 1;
(7.25)
where p is the initial value, p n is the normalized value, p min and p max
corresponding minimal and maximal values of the desired parameter over all
table data totality.
7.5 Control Questions
1. What surface type does the radiometer panel reading indicate?
2. What values are needed for remote measurements of the surface temperature
with IR-radiometer?
3. What values are needed for remote measurements of the surface emissivity with
IR-radiometer?
4. Do approximate polynomial values equal to temperature values measured with
IR-radiometer at sites of remote observation?
7.6 Practice 6
7.6.1 Objectives
1. Study the methodology of accomplishing remote measurement of the surface
temperature with automated IR-radiometer.
2. Master the methodology of using IR-radiometer included in the laboratory
complex radiometer-computer for accomplishing remote measurements of the
surface temperature and emissivity.
3. Accomplish measurements of the emissivity of proposed type of surface and
estimate the result’s accuracy.
7.6 Practice 6
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