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声呐第一悖论——探测增益逆反与维度灾难

The first sonar paradox: the inversion of detection gain and the curse of dimensionality

  • 摘要: 水下弱目标探测是国家水下安全与资源勘探的重大需求,其核心挑战为“两个一千”问题:目标信号强度仅为干扰源的千分之一,且目标数量稀少,需在复杂海洋环境中实现高可靠探测与识别。传统上依赖“硬件对抗”路径,通过扩大孔径、增加功率、降低频率等方式提升性能。然而,实践中常出现“性能反转”:硬件能力超越临界点后,系统整体效能不升反降。文章首次提出“声呐第一悖论”——“探测增益逆反悖论”,亦称“维度灾难”。该悖论揭示,在干扰主导的真实环境中,扩展探测距离会同步引发干扰源数量呈多项式级爆炸增长(海面干扰∝R2,体积干扰∝R3),其速度远超目标信号的指数衰减,最终导致信干比坍塌与定位模糊。通过构建综合信干噪比模型,从数学上严格证明扩大孔径与降低频率两条路径的“不可解性”,指出其边际收益在远距离条件下趋近于零。为此,文章论证了从“环境对抗”转向“环境协同认知”的范式革命,并提出构建“方位-距离-深度-运动-特征”五维协同感知体系的破解路径。该研究为理解声呐性能边界提供了新理论框架,也为下一代智能水声探测技术奠定了基础。

     

    Abstract: The detection of weak underwater targets is a critical requirement for national underwater security and resource exploration, encapsulated in the "Two-One-Thousand" Problem: the target signal intensity is merely one-thousandth of that of interference sources, and targets are extremely sparse, necessitating highly reliable detection and identification in complex marine environments. Traditionally, the approach has relied on a "hardware confrontation" paradigm, enhancing performance through enlarging apertures, increasing power, and lowering frequencies. However, a "performance reversal" phenomenon is frequently observed in practice: when hardware capabilities exceed a critical threshold, overall system effectiveness declines instead of improving. This paper introduces for the first time the "Sonar First Paradox"—the "Detection Gain Reversal Paradox," also termed the "Dimensionality Disaster." This paradox reveals that in interference-dominated real-world environments, extending detection range synchronously triggers a polynomial explosion in the number of interference sources (surface interference ∝ R2, volume interference ∝ R3), which far outpaces the exponential decay of the target signal, ultimately leading to a collapse in the signal-to-interference ratio (SIR) and severe localization ambiguity. By developing a comprehensive signal-to-interference-plus-noise ratio (SINR) model, this paper rigorously demonstrates the "unsolvability" of the two conventional paths—enlarging aperture and lowering frequency—showing that their marginal benefits approach zero under long-range conditions. Consequently, the paper argues for a paradigm shift from "environment confrontation" to "environmental collaborative cognition" and proposes a solution framework based on a five-dimensional collaborative perception system encompassing "bearing-range-depth-motion-feature." This study provides a new theoretical framework for understanding the performance boundaries of sonar systems and lays the groundwork for next-generation intelligent underwater acoustic detection technologies.

     

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