Retrieval of atmospheric temperature and composition from remote measurements of thermal radiation

Reviews of Geophysics - Tập 14 Số 4 - Trang 609-624 - 1976
C. D. Rodgers

Tóm tắt

This paper reviews the methods which may be used to estimate the state of the atmosphere, i.e., the distribution of temperature and composition, from measurements of emitted thermal radiation such as are made by remote sounding instruments on satellites. The principles of estimation theory are applied to a linear version of the problem, and it is shown that many of the apparently different methods to be found in the literature are particular cases of the same general method. As an aid to understanding, the optimum linear solution is described in terms of the geometry of n dimensions, with n = 3 for illustration. In generalizing the approach to the nonlinear problem there are two stages: (1) finding any member of the infinite family of possible solutions, which may be done by any convenient iterative method, and (2) finding the optimum solution by satisfying appropriate constraints.

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Tài liệu tham khảo

10.1111/j.2153-3490.1967.tb01502.x

10.1098/rsta.1970.0005

10.1175/1520-0469(1975)032<1626:OCRMFT>2.0.CO;2

10.1175/1520-0469(1969)026<0457:AOANLS>2.0.CO;2

10.1364/JOSA.58.001634

10.1175/1520-0469(1970)027<0960:IPIRTD>2.0.CO;2

10.1175/1520-0469(1972)029<0741:AGRMFI>2.0.CO;2

10.1175/1520-0469(1974)031<0233:RSOCAI>2.0.CO;2

10.1029/JC079i003p00430

10.1029/JC074i013p03347

10.1175/1520-0469(1972)029<1262:VROTPO>2.0.CO;2

10.1175/1520-0450(1971)010<0328:OTAOTO>2.0.CO;2

Deutsch R., 1965, Estimation Theory

10.1137/0109031

10.1016/0022-247X(70)90017-X

10.1175/1520-0469(1975)032<0881:SOPAAF>2.0.CO;2

10.1175/1520-0493(1972)100<0542:RTFDTP>2.3.CO;2

10.1175/1520-0469(1971)028<1427:OTIOLR>2.0.CO;2

Glasko V. B., 1968, The solution of the thermal sounding problem for the atmosphere using the regularization method, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 4, 170

Glasko V. B., 1968, Possibilities of the regularization method in solving the problem of atmospheric thermal sounding, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 4, 713

10.1175/1520-0469(1969)026<0153:ETVAOD>2.0.CO;2

10.1111/j.1365-246X.1972.tb06115.x

10.1111/j.1365-246X.1973.tb02418.x

10.1364/JOSA.49.001004

10.1016/0022-4073(61)90016-4

10.1175/1520-0469(1964)021<0324:IBSOVT>2.0.CO;2

Kondratiev K. Y., 1974, On the information capability of spectral measurements of moisture in the stratosphere and mesosphere, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 10, 638

Kozlov V. P., 1966, On the estimation of the vertical ‐temperature profile from the outgoing radiation spectrum, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 2, 80

Lanczos C., 1961, Linear Differential Operators

10.1175/1520-0469(1965)022<0370:OTICOU>2.0.CO;2

10.1002/qj.49710042512

10.1145/321105.321114

Pokrovskiy O. M., 1969, Optimal conditions for indirect atmospheric sounding, Izv. A cad. Sci. USSRAtmos. Oceanic Phys., 5, 766

Pokrovskiy O. M., 1972, Optimum conditions for indirect sounding of the atmosphere, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 8, 634

Pokrovskiy O. M., 1971, The information yield in indirect sounding of various layers of the atmosphere, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 7, 598

10.1175/1520-0469(1970)027<0689:RSOAOU>2.0.CO;2

10.1002/qj.49709641008

10.1016/0022-4073(71)90053-7

10.1175/1520-0469(1976)033<0707:TVRORS>2.0.CO;2

10.1175/1520-0469(1972)029<0376:TIOAOU>2.0.CO;2

10.1016/0022-4073(71)90080-X

10.1175/1520-0450(1969)008<0357:TSPOTV>2.0.CO;2

Shannon C. E., 1962, The Mathematical Theory of Communication

10.1175/1520-0469(1970)027<0773:AASPFS>2.0.CO;2

Sissala J. F., 1975, The Nimbus 6 Users Guide

10.1175/1520-0493(1967)095<0363:AIMFDT>2.3.CO;2

10.1175/1520-0493(1968)096<0387:AIMFCT>2.0.CO;2

10.1364/AO.9.001993

10.1175/1520-0450(1971)010<1026:VDOAWV>2.0.CO;2

10.1175/1520-0469(1976)033<1127:TUOEOS>2.0.CO;2

10.1175/1520-0493(1970)098<0582:ARMFOR>2.3.CO;2

10.1175/1520-0450(1972)011<0113:ROATPF>2.0.CO;2

10.1029/JZ071i012p02875

10.1145/321439.321445

10.1016/0021-9991(73)90027-2

Tikhonov A. N., 1963, On the solution of incorrectly stated problems and a method of regularization, Dokl. Acad. Nauk SSSR, 151, 501

Turchin V. F., 1969, Statistical regularization of the solution of incorrectly posed problems, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 5, 14

10.1145/321150.321157

10.1016/0016-0032(65)90209-7

10.1175/1520-0493(1966)094<0363:IMOATP>2.3.CO;2

10.1175/1520-0469(1970)027<0515:ICAISM>2.0.CO;2

10.1016/0021-9991(75)90028-5

10.1175/1520-0493(1963)091<0659:ADOISM>2.3.CO;2

10.1175/1520-0469(1974)031<0513:OTEOLA>2.0.CO;2

10.1364/AO.14.000862

10.1029/JZ066i001p00077

10.1175/1520-0493(1966)094<0351:IMOATP>2.3.CO;2

10.1175/1520-0469(1968)025<0750:SICORM>2.0.CO;2

Yakoulev A. A., 1974, On the use of a priori models for solving inverse problems, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 10, 749

10.1175/1520-0450(1970)009<0921:AEOSMO>2.0.CO;2

10.1175/1520-0469(1961)018<0581:NMFETS>2.0.CO;2

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Reviews of Geophysics

Tập 14 Số 4

609-624

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