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How do I rescale Landsat Level-1 digital numbers to reflectance, radiance, and brightness temperature?

Landsat Level-1 data can be rescaled to the top of atmosphere (TOA) reflectance and/or radiance using radiometric rescaling coefficients provided in the metadata file (MTL.txt) that is delivered with the Landsat Level-1 product. The MTL file also contains the thermal constants needed to convert thermal band data to TOA brightness temperature (BT). Formulas for these conversions are at Using the USGS Landsat Level-1 Data Product.