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USER'S GUIDE

5.3. Radiometric Parameters

Unit conversion coefficients, which are defined as radiance per 1DN, are used to convert from DN to radiance. Radiance (spectral radiance) is expressed in unit of W/(m2•sr•μm). We undertake to maintain the unit conversion coefficient at the same values throughout the mission's life.

The relationship between DN values and radiances is shown below and illustrated in Figure 5-5.
  1. A DN value of zero is allocated to dummy pixels.
  2. A DN value of 1 is allocated to zero radiance.
  3. A DN value of 254 is allocated to the maximum radiance in the VNIR and SWIR bands.
  4. A DN value of 4094 is allocated to the maximum radiance in the TIR bands.
  5. A DN value of 255 is allocated to saturated pixels in the VNIR and SWIR bands.
  6. A DN value of 4095 is allocated to saturated pixels in the TIR bands.


Figure 5-5 Relationship between DN values and radiances

Figure 5-5 Relationship between DN values and radiances



The maximum radiances depends on both the spectral bands and the gain settings and are shown in Table 5-3.

Table 5-3 Maximum radiance
Band
No.
Maximum radiance (W/(m2•sr•μm))
High gainNormal gainLow gain 1Low gain 2
1 170.8 427 569 N/A
2 179.0 358 477
3N **106.8 218 290
3B **106.8 218 290
4 27.5 55.0 73.3 73.3
5 8.8 17.6 23.4 103.5
6 7.9 15.8 21.0 98.7
7 7.55 15.1 20.1 83.8
8 5.27 10.55 14.06 62.0
9 4.02 8.04 10.72 67.0
10 N/A 28.17* N/A N/A
11 27.75*
12 26.97*
13 23.30*
14 21.38*
  Note:
  *Blackbody radiance at 370 K y
  ** Apparent gain is 2.0412, slightly different from the nominal high gain value of 2.0.


Maximum radiances for high and low gains are basically defined as those for normal gain divided by nominal gain except for band 3N and 3B at high gain. For band 3N and 3B, the maximum radiance is slightly smaller than the value calculated above, which may be saturated because of a large offset.

The unit conversion coefficients can be calculated as follows.

  Lni = Lmaxi /253 (VNIR and SWIR band)
  Lni = Lmaxi /4093 (TIR band)


where
  Lni : the unit conversion coefficient from DN to radiance of band i
  Lmaxi : the maximum radiance of band i


Table 5-4 shows the calculated unit conversion coefficients for each band.

Table 5-4 Unit conversion coefficients
Band
No.
Maximum radiance (W/(m2•sr•μm))
High gainNormal gainLow gain 1Low gain 2
1 0.676 1.688 2.25 N/A
2 0.708 1.415 1.89
3N 0.423 0.862 1.15
3B 0.423 0.862 1.15
4 0.1087 0.2174 0.290 0.290
5 0.0348 0.0696 0.0925 0.409
6 0.0313 0.0625 0.0830 0.390
7 0.0299 0.0597 0.0795 0.332
8 0.0209 0.0417 0.0556 0.245
9 0.0159 0.0318 0.0424 0.265
10 N/A 6.882 x 10-3 N/A N/A
11 6.780 x 10-3
12 6.590 x 10-3
13 5.693 x 10-3
14 5.225 x 10-3


From the relationship described above the radiance value can be obtained from DN values as follows.

Radiance = (DN value -1) x Unit conversion coefficient



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