WS Test program inverse test results for temperature

Ross Bannister, September 2004
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4.1 The results (WS)

Experiment F: Inverse tests found from the WS scheme, 4 bands (optimal) top-hat T-transform, triangular U-transform'


Fig F.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21.
Fig F.3b (top right): Imaginary part of field.
Fig F.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21.


Fig. F.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21).
Fig. F.4b (below centre left): Imaginary part.
Fig. F.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber).
Fig. F.4d (below right): Imaginary part.


Fig. F.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21).
Fig. F.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees).

Experiment H: Inverse tests found from the WS scheme, 4 bands (optimal) top-hat T-transform, top-hat U-transform'


Fig H.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21.
Fig H.3b (top right): Imaginary part of field.
Fig H.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21.


FiH. H.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21).
FiH. H.4b (below centre left): Imaginary part.
FiH. H.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber).
FiH. H.4d (below right): Imaginary part.


FiH. H.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21).
FiH. H.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees).

Experiment J: Inverse tests found from the WS scheme, 4 bands (optimal) triangular T-transform, triangular U-transform'


Fig J.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21.
Fig J.3b (top right): Imaginary part of field.
Fig J.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21.


Fig. J.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21).
Fig. J.4b (below centre left): Imaginary part.
Fig. J.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber).
Fig. J.4d (below right): Imaginary part.


Fig. J.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21).
Fig. J.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees).

Experiment L: Inverse tests found from the WS scheme, 1 band (optimal) top-hat T-transform, triangular U-transform'


Fig L.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21.
Fig L.3b (top right): Imaginary part of field.
Fig L.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21.


Fig. L.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21).
Fig. L.4b (below centre left): Imaginary part.
Fig. L.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber).
Fig. L.4d (below right): Imaginary part.


Fig. L.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21).
Fig. L.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees).

Experiment N: Inverse tests found from the WS scheme, 10 bands (optimal) top-hat T-transform, triangular U-transform'


Fig N.3a (top left): Field (real part) after acting with TU on a delta function at wavenumber 0.35 units and level 21.
Fig N.3b (top right): Imaginary part of field.
Fig N.3c (bottom left): Field after acting with UT on a delta function at latitude 45 degrees and level 21.


Fig. N.4a (below left): Real part of sub-matrix of TU operator (input and output space is wavenumber, at fixed level 21).
Fig. N.4b (below centre left): Imaginary part.
Fig. N.4c (below centre right): Real part of sub-matrix of TU operator (input and output space is level, at a fixed wavenumber).
Fig. N.4d (below right): Imaginary part.


Fig. N.5a (below left): Sub-matrix of UT operator (input and output space is latitude, at fixed level 21).
Fig. N.5a (below right): Sub-matrix of UT operator (input and output space is level, at fixed latitude 45 degrees).




Return to results explanation page, main waveband page, or data assimiation page