The traditional power spectral subtraction algorithm is computationally simple to implement but suffers from musical noise distortion. In addition, the subtractive rules are based on incorrect assumptions about the cross terms being zero. A new geometric approach to spectral subtraction is proposed in the present paper that addresses these shortcomings of the spectral subtraction algorithm. A method for estimating the cross terms involving the phase differences between the noisy (and clean) signals and noise is proposed. Analysis of the gain function of the proposed algorithm indicated that it possesses similar properties as the traditional MMSE algorithm. Objective evaluation of the proposed algorithm showed that it performed significantly better than the traditional spectral subtractive algorithm. Informal listening tests revealed that the proposed algorithm had no audible musical noise.

中文翻译：

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光谱减法的几何方法。

传统的功率谱减法算法在计算上易于实现，但存在音乐噪声失真。此外，减法规则基于交叉项为零的错误假设。本文提出了一种新的光谱减法几何方法，以解决光谱减法算法的这些缺点。提出了一种用于估计涉及噪声（和干净）信号与噪声之间相位差的交叉项的方法。对该算法增益函数的分析表明，它具有与传统MMSE算法相似的特性。对该算法的客观评价表明，其性能明显优于传统的光谱减法算法。