The existing output signal-to-noise ratio (SNR) optimization model seems not accurate enough to characterize the closed-form instantaneous cross-correlation function type of Wigner distribution’s optimum detection performance, resulting in an unsatisfactory optimal linear canonical transform free parameters selection strategy. A more appropriate output SNR definition, the so-called variance-SNR, is then proposed to model a new kind of optimization, the variance-SNR optimization model. By integrating these two optimization models, it follows a multiobjective optimization, whose solutions to noisy single component linear frequency-modulated signals are also deduced. The newly derived strategy on determination of the optimal parameters implies the previous one so that there is a better detection performance in terms of noise suppression.

中文翻译：

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基于方差SNR的多目标优化分析噪声LFM信号的线性规范Wigner分布

现有的输出信噪比（SNR）优化模型似乎不够准确，无法表征Wigner分布的最优检测性能的闭合形式瞬时互相关函数类型，从而导致了不令人满意的最优线性规范无变换参数选择策略。然后，提出了一个更合适的输出SNR定义，即所谓的方差SNR，以对一种新型的优化模型-方差SNR优化模型进行建模。通过集成这两个优化模型，它遵循了多目标优化的原则，并推导了其对嘈杂的单分量线性调频信号的解决方案。新推导的确定最佳参数的策略隐含了先前的策略，因此在噪声抑制方面具有更好的检测性能。