发表机构
Lab-STICC, UMR CNRS 6285, ENSTA, Institut Polytechnique de Paris（拉布斯特克，法国国家科学研究中心联合研究单位6285，ENSTA巴黎理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究相干海杂波雷达中潜在纹理相干扩散的可观测性，提出广义谱隙准则和尺度-形状分解，量化采样与噪声影响，并通过模拟验证。
AI 中文摘要
相干雷达通过潜在纹理和相干变量的非单射乘性组合观测海杂波。我们研究一类部分观测的慢-快扩散，其投影二次协方差具有形式\(Q=S+qyy^\ op\)，以Field的海杂波扩散作为可解基准。对于固定形状的快协方差，我们推导了恢复潜在慢坐标的精确广义谱隙准则和稳定性界。当快协方差改变形状时，我们获得不变尺度-形状分解以及潜在二次签名增强或抵消的精确条件。然后我们量化有限采样和接收机噪声导致的可分辨性损失。受控的CIR-OU模拟验证了解析恒等式，并展示了结构可观测性不产生稳定重建的机制。
英文摘要
A coherent radar observes sea clutter through a non-injective multiplicative combination of latent texture and coherence variables. We study a class of partially observed slow--fast diffusions for which the projected quadratic covariance has the form \(Q=S+qyy^\top\), using Field's sea-clutter diffusion as a solvable benchmark. For fixed-shape fast covariance, we derive an exact generalized spectral-gap criterion for recovery of the latent slow coordinate and a stability bound. When the fast covariance changes shape, we obtain an invariant scale--shape decomposition and exact conditions for reinforcement or cancellation of the latent quadratic signature. We then quantify the loss of resolvability caused by finite sampling and receiver noise. Controlled CIR--OU simulations verify the analytic identities and exhibit regimes in which structural observability does not yield stable reconstruction.
Comments29 pages, 3 figures
