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February 12, 2026Sensors0 citationsOpen Access

An Information-Theoretic Framework for Uncertainty Quantification and Sensitivity Analysis in UWB Fuze Transmitters

YLYanbin LiangKWKaiwei WuBYBing Yang

Key Points

  • The study aims to quantify how component tolerances in UWB fuze transmitters affect operational performance, particularly detection range and resolution.
  • Developed a physics-based mathematical model of the UWB transmitter.
  • Validated the model against circuit-level simulations of the step recovery diode's transient response.
  • Utilized the Latin Hypercube Sampling-Information Entropy method to analyze uncertainty propagation.
  • Introduced Feature Interaction Information to explore nonlinear relationships between components.
  • Found significant amplification of uncertainty in signal features due to inductance tolerances.
  • Identified load resistance as a linear factor primarily affecting amplitude uncertainty.
  • Demonstrated the framework's ability to convert traditional tolerance design into a more robust, entropy-driven strategy.

Abstract

Component tolerances in Ultra-Wideband (UWB) fuze transmitters inevitably induce waveform distortions, which propagate through the signal chain to degrade system-level tactical performance, specifically detection range and ranging resolution. Addressing the lack of quantitative mechanisms linking component variations to operational effectiveness, this study proposes an information-theoretic sensitivity analysis framework. First, we establish a physics-based mathematical model of the transmitter and rigorously validate it against circuit-level simulations to characterize the step recovery diode’s transient response under tolerance disturbances. Second, we employ the Latin Hypercube Sampling-Information Entropy (LHS-IE) method to quantify the uncertainty propagation from parameters to pulse features. Crucially, we introduce Feature Interaction Information (FII) to decode the nonlinear coupling between components. Our results reveal a strong Amplifying effect driven by inductance tolerances, where the interaction between parameters amplifies the joint uncertainty of amplitude and width beyond their individual impacts. Conversely, load resistance primarily dictates amplitude uncertainty as an independent linear factor. The proposed framework provides a theoretical basis for converting traditional tolerance design into an entropy-driven precision allocation strategy, ensuring system robustness under manufacturing constraints.

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Cite This Study

Liang et al. (2026) studied this question.

synapsesocial.com/papers/698d6f5f5be6419ac0d552behttps://doi.org/10.3390/s26041164
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