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Data Compression via Pulse-to-Pulse Redundancy



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Conference on Mathematics and Applications of Data Image Coding Compression and Encryption IV SPIE s International Symposium on Optical Science and Technology San Diego CA July 29 August 3 2001 Data Compression via Pulse to Pulse Redundancy for Radar Emitter Location Mark L Fowler and Zhen Zhou Department of Electrical Engineering State University of New York at Binghamton Binghamton NY 13902 ABSTRACT An effective method for geolocation of a radar emitter is to intercept its signal at multiple platforms and share the data to allow measurement of the time difference of arrival TDOA and the frequency difference of arrival FDOA This requires effective data compression For radar location we show that it is possible to exploit pulse to pulse redundancy A compression method is developed that exploits the singular value decomposition SVD to compress the intercepted radar pulse train This method consists of five steps i pulse gating ii pulse alignment iii matrix formation iv SVDbased rank reduction and v encoding Matrix formation places aligned pulses into rows to form a matrix that has rank close to one and SVD truncation gives a low rank approximate matrix We show that i compression is maximized if the matrix is made to have two thirds as many rows as columns and ii truncation to a rank one matrix is feasible We interpret this as extracting a prototype pulse trainlet The maximum compression ratio is expressed in terms of the number of pulses and the number of samples per pulse and point out a particularly interesting and important characteristic the compression ratio increases as the total number of signal samples increases Theoretical and simulation results show that this approach provides a compression ratio up to about 30 1 in practical signal scenarios Keywords data compression singular value decomposition emitter location time difference of arrival TDOA frequencydifference of arrival FDOA 1 INTRODUCTION A common way to locate electromagnetic emitters is to measure



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