This work mainly deal with the compression of remote sensed images gathered from a radiometer flown aboard an environmental satellite. In this work some NOAA/AVHRR images have been used with focus on the southern Europe and the Mediterranean Basin. It is possible to find out a relationship between pixels close one each other. In such a way it is possible to say that there is a certain degree of correlation within pixels belonging to the same band in a close neighborhood. Based upon this observation, a simple compression scheme was used to compress single band images. The coefficients of this relationship are, in turn, quite probably, similar to the ones calculated on one of the other bands. Based upon this second observation, an algorithm was developed, able to reduce the number of bit/pixel from 16 to 4 in multispectral images. A comparison was carried out between these different methods about their speed and compression ratio. As reference it was taken the behavior of two commonly used programs: PKZIP and LHA. The presented methods have similar result in both speed and compression ratio to the commonly used programs and are to be preferred when the decompression must be carried out on line, inside a main program or when there is the need of a custom made compression algorithm.