Compiling Environment in linux

Is it possible to Compile the digi applications and bsp in Linux.If possible please give me the details of this…

You will need the toolset compiled/ported to the particular linux platform that you want to use, and for that you’ll need the source for it. The toolset files are all that start with “arm-elf” in their names, and are located in the bin diretory (like cygwin\bin).
There is a public domain ARM toolchain, but I realy cannot tell you much about it and wheather it is compatible. Plus it does not come with the NET+OS operating system, that’s for sure.