发表机构
Acoustics Research Institute, Austrian Academy of Sciences; Faculty of Mathematics, University of Vienna（奥地利科学院声学研究所; 维也纳大学数学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究了有色噪声下STFT谱图零点的期望数量，给出精确公式与渐近行为，并提出从零点分布恢复功率谱密度的算法，验证了基于零点的检测算法在中等有色噪声下的有效性。
AI 中文摘要
我们研究了在复高斯有色噪声干扰下，使用高斯窗的短时傅里叶变换（STFT）的期望零点数量。我们给出了该数量的精确公式，并研究了其渐近行为。从计算角度来看，我们提出了一种算法方法，可直接从变换零点的空间分布中恢复平滑的功率谱密度（PSD）。我们的结果形式化了常见的启发式观点，即基于谱图零点的检测算法虽然是为白噪声设计的，但在中等有色噪声下也能表现良好。
英文摘要
We study the expected number of zeros of the Short-Time Fourier Transform (STFT) with a Gaussian window for signals degraded by complex Gaussian colored noise. We provide an exact formula for this quantity and investigate its asymptotic behavior. From a computational perspective, we propose an algorithmic method to recover a smoothed power spectral density (PSD) directly from the spatial distribution of the transform's zeros. Our results formalize the commonly-held heuristic that detection algorithms based on spectrogram zeros, though designed for white noise, also perform adequately under moderately colored noise.
Commentsv2: fixed two bugs in the simulation code; figures regenerated. The text remains unchanged
