On Lossless Feedback Delay Networks
On Lossless Feedback Delay Networks
复制标题
关于无损反馈延迟网络
DOI：
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发表时间：
2016
影响因子：
5.4
通讯作者：
Emanuël Habets
中科院分区：
文献类型：
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作者：
Sebastian J. Schlecht;Emanuël Habets
无损反馈延迟网络(FDN)通常被用作人工混响算法的设计原型。无损特性依赖于反馈矩阵，反馈矩阵将一组延迟的输出连接到它们的输入，以及延迟的长度。众所周知，酉阵和三角反馈阵都可以构成无损FDN，然而，最一般的无损反馈矩阵类型还没有确定。在这一贡献中，证明了如果反馈矩阵的所有不可约分量对角类似于酉阵，则FDN对于任何时滞集都是无损的。通过文献中提出的FDN设计的例子，证明了广义反馈矩阵类的必要性。
Lossless Feedback Delay Networks (FDNs) are commonly used as a design prototype for artificial reverberation algorithms. The lossless property is dependent on the feedback matrix, which connects the output of a set of delays to their inputs, and the lengths of the delays. Both, unitary and triangular feedback matrices are known to constitute lossless FDNs, however, the most general class of lossless feedback matrices has not been identified. In this contribution, it is shown that the FDN is lossless for any set of delays, if all irreducible components of the feedback matrix are diagonally similar to a unitary matrix. The necessity of the generalized class of feedback matrices is demonstrated by examples of FDN designs proposed in literature.
DOI：
10.1109/taslp.2015.2438547
发表时间：
2015-02
期刊：
IEEE/ACM Transactions on Audio, Speech, and Language Processing
影响因子：
--
作者：
E. D. Sena;H. Hacıhabiboğlu;Z. Cvetković;J. Smith
通讯作者：
E. D. Sena;H. Hacıhabiboğlu;Z. Cvetković;J. Smith