The problem of secure lossy source-channel wiretapping with arbitrarilycorrelated side informations at both receivers is investigated. This scenarioconsists of an encoder (referred to as Alice) that wishes to compress a sourceand send it through a noisy channel to a legitimate receiver (referred to asBob). In this context, Alice must simultaneously satisfy the desiredrequirements on the distortion level at Bob, and the equivocation rate at theeavesdropper (referred to as Eve). This setting can be seen as a generalizationof the conventional problems of secure source coding with side information atthe decoders, and the wiretap channel. Inner and outer bounds on therate-distortion-equivocation region for the case of arbitrary channels and sideinformations are derived. In some special cases of interest, it is shown thatseparation holds. By means of an appropriate coding, the presence of anystatistical difference among the side informations, the channel noises, and thedistortion at Bob can be fully exploited in terms of secrecy.
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