So in the meantime I figured I'd post a few useful utilities I've come across while writing this series of posts.
Previous Posts In This Series
Compute Radiance From Frequency And Temperature
This code converts a reading in degrees Kelvin and a frequency value to a radiance value. Radiance is given in units of milliwatts/m2 cm-1. The original C code can be found in the file read_chan_props.c in the C Readers Code provided by NASA. The example here uses pseudocode.
Function ComputeRadiance
Parameter Temperature Of Type Double
Parameter Frequency Of Type Double
Return Value Radiance Of Type Double
Begin Function
Constant PLANCKS_CONSTANT Equals 6.62620e-34
Constant SPEED_OF_LIGHT Equals 2.99793e+10-34
Constant BOLTZMANS_CONSTANT Equals 1.38062e-23
Constant PLANK_CONSTANT_1 Equals 2.0 * (PLANCKS_CONSTANT) * (SPEED_OF_LIGHT) * (SPEED_OF_LIGHT) * 1.e7
Constant PLANK_CONSTANT_2 Equals (PLANCKS_CONSTANT) * (SPEED_OF_LIGHT) /
(BOLTZMANS_CONSTANT)
Return PLANK_CONSTANT_1 * Frequency * Frequency * Frequency / (Exponent(PLANK_CONSTANT_2 * Frequency / Temperature) - 1.0)
End Function
Adjusting Footprint Brightness
Recall that the AMSU scans 30 footprint readings per scan line. Because theses readings are done with the satellite in the same position, footprints to the far left and far right will be at different heights in the atmosphere than readings directly below the satellite. A visual example of these offsets is shown in the diagrams below. Diagram A shows the offsets for channels 1-3, and 15. Diagram B shows the offsets for the other AMSU channels.
These offsets cause a deviation in the brightness values for each footprint. These deviations are shown in the diagram below. The X axis shows the footprint readings. The Y axis shows the variations in brightness that occur at each footprint for each channel.
The values in this chart can be used to adjust the brightness readings of each footprint in a scan line of the AMSU.
These diagrams, as well as a more complicated way of adjusting brightness values, are provided in The Limb Adjustment of AMSU-A Observations: Methodology and Validation.
Pseudocode for using the brightness adjustment diagram provided here is shown below.
Foreach Channel
Foreach Footprint
Subtract Channel/Footprint Adjustment Value From Channel Brightness Reading
End Foreach
End Foreach
NOTE: These adjustments should be done to the Brightness values, not the antenna values.
References:
C AMSU Level 1B Swath and Grid Readers
The Limb Adjustment of AMSU-A Observations: Methodology and Validation
Sorry, the link to the Limb Adjustment paper is:
ReplyDeletehttp://ams.allenpress.com/archive/1520-0450/40/1/pdf/i1520-0450-40-1-70.pdf