An accurate wireless signal strength propagation model with less parameters was proposed to increase the application efficiency of fingerprint based positioning approaches in wireless networks, and to address the problems of wireless signal attenuation models, e.g. low computation efficiency, build complexity, and difficulty of parameter setting. The proposed model is an empirical model, which changes the attenuation factor n of the classical attenuation model, in terms of a cubic interpolation spline function of distance or received signal strength indicator (RSSI). The proposed model does not introduce any new parameter and is easy to compute. Experimental results indicated that in an indoor corridor environment, by trained with 10% samples, the proposed model estimated the wireless signal strength with an average error less than 0.4 dBm. Employing the calibration data generated by the proposed model, the fingerprint based positioning approach achieved a mean error less than 1.3 m．
CHEN Ling, XU Xiao-long, YANG Qing, CHEN Gen-cai. Wireless signal strength propagation model base on cubic spline interpolation. J4, 2011, 45(9): 1521-1527.
［1］ BAHL P, PADMANABHAN V N. RADAR: an inbuilding RFbased user location and tracking system［C］∥ Proceeding of IEEE INFOCOM. Israel: IEEE, 2000: 775-789． ［2］ HAZAS M, HOPPER A. Broadband ultrasonic location systems for improved indoor positioning［J］. IEEE Transactions on Mobile Computing, 2006, 5(5): 536-547． ［3］ CHENG Y, CHAWATHE Y, LAMARCA A. Accuracy characterization for metropolitanscale WiFi localization［C］∥ Proceeding of MobiSys. Seattle: ACM, 2005: 233-245． ［4］ Ascension technology corporation ［EB/OL］. ［2009-12-01］. http:∥www.ascensiontech.com． ［5］ GONCALO G, HELENA S. Indoor location system using ZigBee technology［C］∥ Proceeding of International Conference on Sensor Technologies and Applications. Washington: IEEE, 2009:152-157． ［6］ CHEHRI A, FORTIER F, TARDIF P M. On the TOA estimation for UWB ranging in complex confined area［C］∥ Proceeding of International Symposium on Signals, Systems and Electronics.［S.l.］: IEEE, 2007: 533-536． ［7］ PENG R, SICHITIU M L. Angle of arrival localization for wireless sensor networks［C］∥ Proceeding of IEEE Communications Society on Sensor and Ad Hoc Communications and Networks. ［S.l.］:IEEE, 2006: 374-382． ［8］ TAKENQA C M, KYAMAKY. A robust positioning system based on fingerprint approach［C］∥ Proceeding of ACM International Workshop on Mobility Management and Wireless Access. Greece: ACM, 2007: 1-8． ［9］ CHEN Y, YANG Q, Yin J, et al. Powerefficient accesspoint selection for indoor location estimation［J］. IEEE Transactions on Knowledge and Data Engineering, 2006, 18(7): 877-888． ［10］ ISKANDER M F, YUN Z. Propagation prediction models for wireless communication systems［J］. IEEE Transactions on Microwave Theory and Techniques, 2002, 50(3): 662-673． ［11］ 施亚妮, 李丽娟. FDTD方法吸收边界条件的研究及应用［J］. 计算机仿真, 2008, 25(7): 113-148． SHI Yani, LI Lijuan. Research on absorbing boundary condition in FDTD method and its application［J］. Computer Simulation, 2008, 25(7): 113-148．
［12］ YUAN M, ARIJIT D, JUNG B H. Conditions for generation of stable and accurate hybrid TDFD MoM solutions［J］.IEEE Transactions on Microwave Theory and Techniques, 2006, 54(1): 2552-2563． ［13］ 黄永明, 吕英华, 徐立,等. 室内无线传播中一种混合建模方法的改进［J］. 北京邮电大学学报, 2004, 27(1): 13-17． HUANG Yongming, LU Yinghua, XU Li, et al. An improved hybrid method for modeling indoor radio propagation［J］. Journal of Beijing University of Posts and Telecommunications, 2004, 27(1): 13-17． ［14］ Friis transmission equation ［EB/OL］. ［2009-12-01］．http:∥en.wikipedia.org/wiki/Friis_transmission_equation． ［15］ LASSABE F, CANALDA P, CHATONNAY P, et al. A Friisbased calibrated model for WiFi terminals positioning［C］∥ Proceeding of IEEE International Symposium on a World of Wireless Mobile and Multimedia Networks. Taormina: IEEE, 2005: 382-387． ［16］ AKL R, TUMMALA D, LI X. Indoor propagation modeling at 24GHz for IEEE 80211 networks［C］∥ Proceeding of IASTED International MultiConference on Wireless and Optical Communications, Wireless Networks and Emerging Technologies. Banff: IASTED/ACTA, 2006: 14-19． ［17］ MEDBO J, BERG J E. Simple and accurate path loss modeling at 5GHz in indoor environments with corridors［C］∥ Proceeding of IEEE Vehicular Technology Conference.［S.l.］: IEEE, 2000: 30-36． ［18］ WANG Y, JIA X, LEE H K. An indoors wireless positioning system based on wireless local area network infrastructure［C］∥ Proceeding of International Symposium on Satellite Navigation Technology Including Mobile Positioning and Location Services. Melbourne: SatNav, 2003: 21-34． ［19］ AAMODT B K. CC2431 location engine［S］. Texas: Application Note AN042, 2006． ［20］ EDWARDS A A, DENNIS J A. Polyfit a computer program for fitting a specified degree of polynomial to data points［R］. London:UK National Radiological Protection Board, NRPBM 11, 1973． ［21］ KEYS R G. Cubic convolution interpolation for digital image processing［J］. IEEE
