Remote-Sensing Technologies and Data Processing Algorithms - New Ecoinformatics Tools in Environmental Science: Applications and Decision-making - page 197

In the simplest version, if if b ʻ was measured at N different wavelengths { ʻ i ;

i =1, … , N}, then the determinant of the system ( 2.22 ) will be equal to:

D ¼ Y

i¼1 j i Y

N N

i [ k uðk i Þuðk k Þ

½ = uðk i Þuðk k Þ ½

If ˆ ( ʻ i ) ≠ ˆ ( ʻ л ) with none of combinations i ≠ k, then ʔ ≠ 0 and the system

( 2.22 ) has a single solution. Now let

wð h Þ ¼h m

Then, it follows from ( 2.20 ) that

T ð h Þ ¼ X

N 1

B k h k ð m þ 1 Þ

k¼0

and we obtain a system of algebraic equations

k 1

P k ð 0 Þ ¼ mk 1

ð Þ !. . .!

ð m þ 1 Þ

b k 1 =u

ðkÞ

½

with the following determinant:

D ¼ Y

i¼1 j k i Y

N þ 1 p Y

N N N

t [ k uðk t Þuðk k Þ

½ m ð k 1 Þ ½ = uðk t Þuðk k Þ ½

p¼1

The case when the function ˈ is approximated by a polynomial is considered in a

similar way.

2.11.2 Estimation of Radiobrightness Response Function
of the Ocean-Atmosphere System on Variations
in Heat Fluxes

The problem of using the satellite passive microwave radiometric methods for the
analysis of the roles of the ocean and atmosphere (in respect of their priority) in heat
interaction over various space and time scales is one of important for solution in
tropical cyclogenesis. This problem is long attracts the specialists engaged in the
oceanology, meteorology, atmospheric sciences, etc. Some data of measurements
from the Meteor-3M MTVZA device (Module of Temperature and Vlazhnost
(humidity) Zonding of the Atmosphere), data of the DMSP (SSM/I) and EOS-Aqua
(AMSR-E) radiometers can be used for solving this problem.