音频STFT相位分布并非均匀，按频率或幅值范围分析更真实。
Why some audio signal short-time Fourier transform coefficients have nonuniform phase distributions
- 按频率或幅值范围分析相位分布，发现非均匀性。
- 相位非均匀性源于信号特性与窗函数选择。
- 对音频处理和相位建模有重要启发价值。
短时傅里叶变换（STFT）将一段音频样本表示为一组复数系数，通常以幅度和相位形式解读。人们普遍假设整体相位分布是均匀的。本文发现，当按频率或幅度范围分别分析音频信号的STFT相位分布时，其结果可能远非均匀。这表明，均匀相位假设会掩盖重要的细节信息。我们解释了非均匀相位的产生机制及其意义，并说明了窗函数形状如何影响相位分布的非均匀程度。这些发现对音频建模、信号重构及相位相关应用具有潜在价值。
原文摘要 · Abstract (English)
The short-time Fourier transform (STFT) represents a window of audio samples as a set of complex coefficients. These are advantageously viewed as magnitudes and phases and the overall distribution of phases is very often assumed to be uniform. We show that when audio signal STFT phase distributions are analyzed per-frequency or per-magnitude range, they can be far from uniform. That is, the uniform phase distribution assumption obscures significant important details. We explain the significance of the nonuniform phase distributions and how they might be exploited, derive their source, and explain why the choice of the STFT window shape influences the nonuniformity of the resulting phase distributions.
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