Phase detection based range estimation with a dual-band robust Chinese remainder theorem

Range estimation with multifrequency phases is a common practice in localization systems. The challenge of this method is the phase ambiguity. Some Chinese remainder theorem (CRT) based phase unwrapping algorithms have been proposed to solve the problem, where the wavelengths of the multifrequency signals need to be pair-wisely co-prime after they are divided by their greatest common divisor (gcd). This condition may limit the application in practice. In this paper, a novel way based on a dual-band robust CRT is presented to reconstruct the distance from dual-band wrapped phases, where the pair-wisely co-prime condition is not necessarily needed. As more wrapped phases are involved to reconstruct the distance, the method can significantly enlarge the reconstruction range compared to the single band solution.

[1]  Bill Moran,et al.  Location and Imaging of Moving Targets using Nonuniform Linear Antenna Array SAR , 2007 .

[2]  A. Ledeczi,et al.  Node-density independent localization , 2006, 2006 5th International Conference on Information Processing in Sensor Networks.

[3]  C. Ding.  Chinese remainder theorem , 1996 .

[4]  Xinmin Wang,et al.  Distance Estimation Using Wrapped Phase Measurements in Noise , 2013, IEEE Transactions on Signal Processing.

[5]  Ping Deng,et al.  An Improved Distance Estimation Algorithm Based on Generalized CRT , 2012, 2012 IEEE Vehicular Technology Conference (VTC Fall).

[6]  Miklós Maróti,et al.  Radio interferometric geolocation , 2005, SenSys '05.

[7]  Chen Wang,et al.  Robust Chinese Remainder Theorem Ranging Method Based on Dual-Frequency Measurements , 2011, IEEE Transactions on Vehicular Technology.

[8]  H Leung,et al.  Detection, Location, and Imaging of Fast Moving Targets Using Multifrequency Antenna Array SAR , 2001 .

[9]  William Moran,et al.  Resolving RIPS measurement ambiguity in maximum likelihood estimation , 2011, 14th International Conference on Information Fusion.

[10]  Xiang-Gen Xia,et al.  A Robust Chinese Remainder Theorem With Its Applications in Frequency Estimation From Undersampled Waveforms , 2009, IEEE Transactions on Signal Processing.

[11]  William Moran,et al.  Hyperbolic Positioning Using RIPS Measurements for Wireless Sensor Networks , 2007, 2007 15th IEEE International Conference on Networks.

[12]  Qinye Yin,et al.  An efficient ranging method for wireless sensor networks , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[13]  Wan Zheng,et al.  Range ambiguity resolution in multiple PRF pulse Doppler radars , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[14]  Xiang-Gen Xia,et al.  A Closed-Form Robust Chinese Remainder Theorem and Its Performance Analysis , 2010, IEEE Transactions on Signal Processing.

[15]  Moeness G. Amin,et al.  Multifrequency-based range estimation of RFID Tags , 2009, 2009 IEEE International Conference on RFID.

[16]  Xiang-Gen Xia,et al.  Phase Unwrapping and A Robust Chinese , 2007 .

[17]  Xiang-Gen Xia,et al.  A Fast Robust Chinese Remainder Theorem Based Phase Unwrapping Algorithm , 2008, IEEE Signal Processing Letters.

[18]  A. Salomaa,et al.  Chinese remainder theorem: applications in computing, coding, cryptography , 1996 .

[19]  Melvin Ferreira,et al.  A study of Q-range ambiguity in the Radio Interferometric Positioning System , 2011, 2011 18th International Conference on Telecommunications.

[20]  Qinye Yin,et al.  A Distributed Localization System Based on Phase Measurement for Wireless Sensor Networks , 2009, 2009 International Conference on Networks Security, Wireless Communications and Trusted Computing.