Abstract

It is shown that fourth standardized moment (kurtosis) and its some functional transformations (inverse value, square root of inverse value) can be objective measures of clipping and quality of speech and music signals. The essential advantages of suggested measures are no need for previous estimation of probability density of analyzed signal as well as no need for information about undistorted signals. Indices of correlation were calculated and correspondence maps were created that represent relationships between estimations of suggested measures and subjective quality evaluations of clipped sound signals, which enables calibration of objective measures. It was shown that values correspondence maps, which are simple functional transformations of kurtosis, can be approximated by polynomials of the first or second order, whereas for the approximation of correspondence maps of kurtosis the polynomials of the fourth order are needed. This fact in combination with interval limitations of possible values of used measures means that in engineering applications the applying of kurtosis functional transformation can be preferable. Suggested measures were compared to different measures represented by clipping factor. The clipping factor was shown to be less effective compared to suggested measures under conditions of high clipping level of speech and music signals.

中文翻译：

---

四阶矩及其作为声信号削波程度和质量度量的函数变换

摘要

结果表明，第四标准化矩（峰度）及其一些函数变换（反值、反值的平方根）可以作为语音和音乐信号的剪辑和质量的客观度量。建议措施的基本优点是不需要先前估计分析信号的概率密度，也不需要有关未失真信号的信息。计算相关性指数并创建对应图，以表示建议测量的估计与剪辑声音信号的主观质量评估之间的关系，从而能够校准客观测量。结果表明，值对应图是峰度的简单函数变换，可以通过一阶或二阶多项式来近似，而对于峰度对应图的近似，需要四阶多项式。这一事实与所用度量的可能值的区间限制相结合，意味着在工程应用中，峰态函数变换的应用可能是更可取的。将建议的措施与由裁剪因子表示的不同措施进行比较。在语音和音乐信号的高削波水平的条件下，削波因子被证明不如建议的措施有效。将建议的措施与由裁剪因子表示的不同措施进行比较。在语音和音乐信号的高削波水平的条件下，削波因子被证明不如建议的措施有效。将建议的措施与由裁剪因子表示的不同措施进行比较。在语音和音乐信号的高削波水平的条件下，削波因子被证明不如建议的措施有效。