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Centralized coded caching of popular contents is studied for users withheterogeneous distortion requirements, corresponding to diverse processing anddisplay capabilities of mobile devices. Users' distortion requirements areassumed to be fixed and known, while their particular demands are revealed onlyafter the placement phase. Modeling each file in the database as an independentand identically distributed Gaussian vector, the minimum delivery rate that cansatisfy any demand combination within the corresponding distortion target isstudied. The optimal delivery rate is characterized for the special case of twousers and two files for any pair of distortion requirements. For the generalsetting with multiple users and files, a layered caching and delivery scheme,which exploits the successive refinability of Gaussian sources, is proposed.This scheme caches each content in multiple layers, and it is optimized bysolving two subproblems: lossless caching of each layer with heterogeneouscache capacities, and allocation of available caches among layers. The deliveryrate minimization problem for each layer is solved numerically, while twoschemes, called the proportional cache allocation (PCA) and ordered cacheallocation (OCA), are proposed for cache allocation. These schemes are comparedwith each other and the cut-set bound through numerical simulations.

Centralized Coded Caching for Heterogeneous Lossy Requests