Preservation of whiteness in spectral and time-frequency transforms of second order processes
Preservation of whiteness in spectral and time-frequency transforms of second order processes
复制标题
在二阶过程的频谱和时频变换中保持白度
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
R. Badeau
中科院分区：
文献类型：
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作者：
R. Badeau
在许多信号处理应用中，最近的技术往往依赖于概率模型的估计。很多时候，该模型并不关注观测数据本身，而是关注这些数据的频谱或时频变换，例如离散傅里叶变换(DFT)或短时傅立叶变换(STFT)。关于这些变换的一个常见的统计假设是，所有的频谱或时频面元都是不相关的。然而，这种假设通常是不准确的，要么是因为数据的内在属性，要么是因为变换本身。在本文中，我们的目标是设计从时间域到频谱或时频域的变换，这最符合这一统计假设。为了阐明这一思想，我们引入了保白的概念，并刻画了满足这一性质的变换。我们证明了几种广泛使用的变换，如离散余弦变换(DCT)、离散余弦变换(DFT)、修正离散余弦变换(MDCT)和短时傅立叶变换(STFT)在一定条件下都属于这类变换。
In many signal processing applications, recent techniques often rely on the estimation of a probabilistic model. Many times, this model does not focus on the observed data itself, but rather on a spectral or time-frequency transform of this data, such as the discrete Fourier transform (DFT) or the short-time Fourier transform (STFT). A common statistical assumption regarding these transforms is that all spectral or time-frequency bins are uncorrelated. However this assumption is generally inaccurate, either because of the intrinsic properties of the data, or because of the transform itself. In this document, we aim to design transforms from the time domain to the spectral or time-frequency domain, which best fit this statistical assumption. To formulate this idea, we introduce the concept of preservation of whiteness, and we characterise the transforms that satisfy this property. We show that several widely used transforms such as the discrete cosine transform (DCT), DFT, modified discrete cosine transform (MDCT), and STFT belong to this class under some conditions.
用于对时频域中非平稳信号的卷积混合进行建模的多通道高分辨率 NMF
DOI：
10.1109/taslp.2014.2341920
发表时间：
2014
期刊：
IEEE/ACM Transactions on Audio, Speech, and Language Processing
影响因子：
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作者：
Badeau R
通讯作者：
Badeau R
DOI：
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发表时间：
2013
期刊：
European Signal Processing Conference
影响因子：
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作者：
Badeau R.
通讯作者：
Badeau R.