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Most of the WLAN positioning systems use Received Signal Strength (RSS) as an important information to estimate the location of a mobile station. In fact, RSS can be obtained at the access points or at the mobile device, and most of the previous works use either way to collect this information. In this paper, we propose a new WLAN positioning approach by making use of the RSS collected at both the access points and mobile device. Besides, our new approach is positioning algorithm independent, which means the user can apply any location estimation algorithm with our new data acquisition approach. With our new data acquisition approach, our experiments had shown that the accuracy of location estimation can be improved by 12.84% to 38.23% on the average, as compare to the previous work which only uses the RSS information from either access points or the mobile device.