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Radar Code Design for the Joint Optimization of Detection Performance and Measurement Accuracy in Track Maintenance

2025/04/21 by Tao Fan, Fan, Tao, Augusto Aubry +9 · 5 citations
Engineering · #94A12 #94A13 #Engineering Applied Research #FOS: Electrical engineering #H.4.0 #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2504.14885

openalex publication_date 2025/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with the design of slow-time coded waveforms which jointly optimize the detection probability and the measurements accuracy for track maintenance in the presence of colored Gaussian interference. The output signal-to-interference-plus-noise ratio (SINR) and Cramér Rao bounds (CRBs) on time delay and Doppler shift are used as figures of merit to accomplish reliable detection as well as accurate measurements. The transmitted code is subject to radar power budget requirements and a similarity constraint. To tackle the resulting non-convex multi-objective optimization problem, a polynomial-time algorithm that integrates scalarization and tensor-based relaxation methods is developed. The corresponding relaxed multi-linear problems are solved by means of the maximum block improvement (MBI) framework, where the optimal solution at each iteration is obtained in closed form. Numeral results demonstrate the trade-off between the detection and the estimation performance, along with the acceptable Doppler robustness achieved by the proposed algorithm.

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