A system for processing an information signal comprises a system (1) for scrambling the information signal and at least one system (2) for descrambling the scrambled information signal. The scrambling system (1) comprises means (3,6) for analysing the entropy distribution of the information signal, means (5,6,7,9) for scrambling the information signal in dependence on the entropy distribution of the information signal to provide a scrambled information signal having an entropy distribution corresponding with the entropy distribution of the information signal and means (11) for compressing the scrambled information signal. The descrambling system (2) comprises means (14) for decompressing the compressed scrambled information signal and means (16,19,21,22,24) for descrambling the scrambled information signal to provide the information signal.