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Frontiers of Information Technology & Electronic Engineering 

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Waveform design based on mutual information upper bound for joint detection and estimation


Author(s):  Ruofeng YU1, Caiguang ZHANG2, Chenyang LUO1, Mengdi BAI1, Shangqu YAN1, Wei YANG1, Yaowen FU1

Affiliation(s):  1College of Electronic Science and Technology, National University of Defense Technology,Changsha 410073, China 2Shanghai Radio Equipment Research Institute, Shanghai 201100,China

Corresponding email(s):  fuyaowen@nudt.edu.cn

Key Words:  Radar waveform design; Mutual information upper bound; Target detection; Parameter estimation; Constant modulus constraint


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Ruofeng YU1, Caiguang ZHANG2, Chenyang LUO1, Mengdi BAI1,Shangqu YAN1, Wei YANG1, Yaowen FU1. Waveform design based on mutual information upper bound for joint detection and estimation[J]. Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/FITEE.2500276

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author="Ruofeng YU1, Caiguang ZHANG2, Chenyang LUO1, Mengdi BAI1,Shangqu YAN1, Wei YANG1, Yaowen FU1",
journal="Frontiers of Information Technology & Electronic Engineering",
year="in press",
publisher="Zhejiang University Press & Springer",
doi="https://doi.org/10.1631/FITEE.2500276"
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Abstract: 
Information-theoretic principles provide a rigorous foundation for adaptive radar waveform design in contested and dynamically varying environments. This paper addresses the joint optimization of constant-modulus waveforms to enhance both target detection and parameter estimation concurrently. A unified design framework is developed by maximizing a mutual information upper bound (MIUB), which intrinsically reconciles the tradeoff between detection sensitivity and estimation accuracy without heuristic weighting. Realistic, potentially non-Gaussian statistics of target and clutter returns are modeled using Gaussian mixture distributions (GMDs), enabling tractable closed-form approximations of the MIUBs Kullback-Leibler(KL) divergence and mutual information components. To tackle the ensuing non-convex optimization, a tailored metaheuristic phase-coded dream optimization algorithm (PC-DOA) is proposed, incorporating hybrid initialization and adaptive exploration-exploitation mechanisms for efficient phase-space search. Numerical results substantiate the proposed approach's superiority in achieving favorable detection estimation trade-offs over existing benchmarks.

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