Mathematical background for a method on quotient signal decomposition
Mathematical background for a method on quotient signal decomposition
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DOI：
10.1080/00036810701286288
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发表时间：
2007-05
影响因子：
1.1
通讯作者：
R. Ashino;C. Berenstein;K. Fujita;A. Morimoto;Mitsuo Morimoto;D. Napoletani;Yoshitsugu Takei
中科院分区：
文献类型：
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作者：
R. Ashino;C. Berenstein;K. Fujita;A. Morimoto;Mitsuo Morimoto;D. Napoletani;Yoshitsugu Takei
本文讨论了盲源分离问题。基于时频域中信号源的独立性假设，给出了信号源个数估计问题的数学描述。该方法仅利用两个观测信号的复值时频信息的商来检测信源的个数。分离信源所需的观测信号数目不少于检测到的信源数目。与独立分量分析不同的是，对震源的假设在时频平面上是相当一般的独立性。我们提出了带反馈的算法，并给出了数值仿真，表明该方法即使在噪声环境下也能很好地工作。
The blind source separation problem is discussed in this article. Focusing on the assumption of independency of the sources in the time-frequency domain, we present a mathematical formulation for the estimation problem of the number of sources. The proposed method uses the quotient of complex valued time-frequency information of only two observed signals to detect the number of sources. No fewer number of observed signals than the detected number of sources is needed to separate sources. The assumption on sources is quite general independence in the time-frequency plane, which is different from that of independent component analysis. We propose algorithms with feedback and give numerical simulations to show the method works well even for noisy case.