A joint TDOA and FDOA estimation algorithm based on second-order cone programming. Issue 3 (4th March 2019)

• Record Type: Journal Article
• Authors: Liu, Z. X.; Hu, D. X.; Zhao, Y. J.
• Is Part Of: International journal of electronics. Volume 106:Issue 3(2019)
• Page Start: 365
• Page End: 376
• Publication Date: 2019-03-04
• Subjects: Interpolation -- time difference of arrival (TDOA) -- frequency difference of arrival (FDOA) -- sub-sample accuracy -- convex optimization models -- second-order cone programming (SOCP); Electronics -- Periodicals; Electronic control -- Periodicals; 621.381
• DOI: 10.1080/00207217.2018.1537404
• Languages: English
• ISSNs: 0020-7217

Abstract

ABSTRACT: Considering the low estimation accuracy of the traditional interpolation method, this paper, on the basis of second-order cone programming (SOCP), proposes a novel joint time difference of arrival (TDOA) and frequency difference of arrival (FDOA) estimation interpolation method, which can attain the sub-sample precision. The proposed method uses several discrete samples produced by cross ambiguity function (CAF) to structure the convex optimization models with regard to the interpolation surface. Then, the SOCP is utilized to obtain the interpolation surface which matches the discrete surface of CAF well. Finally, the method achieves the precision superior to the traditional TDOA and FDOA estimation directly through the search for the maximum of the continuous approximate surface. This method decreases the computational load without loss of precision and can efficiently reduce the limitation of finite sampling interval and sampling time in estimation precision. Numerical simulations show that the method in this paper is efficient and outperforms existing interpolation algorithms about estimation precision.