Condensable vapors such as carbon dioxide are separated from light gases in a process stream. The systems and methods employ a particle bed cooled by an in-bed heat exchanger to desublimate the condensable vapors from the process stream. The condensable vapors are condensed on the bed particles while the light gases from the process stream, which are not condensed, form a separated light-gas stream. The separated light-gas stream can be used in a recuperative heat exchanger to cool the process stream.