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In this paper, we propose a novel integrated communication and positioningdesign for orthogonal frequency division multiplexing system aided by areconfigurable intelligent surface (RIS) in indoor circumstances. The channelfrequency responses on pilots (CFROPs) of places of interest are used foronline mapping with the offline CFROP database. We transform the objective ofminimizing the similarity of different CFROPs into creating a differentiateddatabase by optimizing the phase coefficients of RIS. Imperfect channel stateinformation is considered due to time-varying caused by the two-stage mapping.We formulate a universal optimization problem for maximizing either the averageor the minimum virtual distance of CFROPs. The communication servicerequirements are converted as constraints. A moderate case is discussed toreduce computational complexity with minor accuracy loss. A special propertycalled correlation dispersion is analyzed. It is capable of eliminating thespatial consistency that incurs inaccuracy to traditional positioning methods.The property and the moderate case complement each other well with clear andlogical physical interpretation. The particular characteristic makes our designoutperform others especially in high-level-noise environments. It works evenbetter when the prior information of user's potential location is available.The validity of our design is confirmed by numerical results.

Integrated Communication and Positioning Design in RIS-empowered OFDM System: a Correlation Dispersion Scheme