论文标题
Allpass反馈延迟网络
Allpass Feedback Delay Networks
论文作者
论文摘要
在1960年代，施罗德（Schroeder）和洛根（Logan）引入了基于延迟线路的Allpass过滤器，由于其计算效率和多功能性适用性，它们在人工混响，去度和分散系统设计中仍然很受欢迎。在这项工作中，我们将AllPass系统的理论扩展到延迟线的任何任意连接，即反馈延迟网络（FDN）。我们提出了Uniallpass FDN的特征，即FDN，这是任意选择的延迟选择。此外，我们为完成问题开发了解决方案，即给定FDN反馈矩阵，以确定剩余的增益参数，从而使FDN是AllPass。对于完成问题特别有用的是反馈矩阵，该矩阵产生了所有系统模式的均匀衰减。最后，我们将Uniallpass的表征应用于以前的FDN设计，即Schroeder的系列Allpass和Gardner的嵌套Allpass，用于单输入，单输出系统，以及Poletti的多输入，多输出系统的Unital Reverberator，并展示了设计空间的显着扩展。
In the 1960s, Schroeder and Logan introduced delay line-based allpass filters, which are still popular due to their computational efficiency and versatile applicability in artificial reverberation, decorrelation, and dispersive system design. In this work, we extend the theory of allpass systems to any arbitrary connection of delay lines, namely feedback delay networks (FDNs). We present a characterization of uniallpass FDNs, i.e., FDNs, which are allpass for an arbitrary choice of delays. Further, we develop a solution to the completion problem, i.e., given an FDN feedback matrix to determine the remaining gain parameters such that the FDN is allpass. Particularly useful for the completion problem are feedback matrices, which yield a homogeneous decay of all system modes. Finally, we apply the uniallpass characterization to previous FDN designs, namely, Schroeder's series allpass and Gardner's nested allpass for single-input, single-output systems, and, Poletti's unitary reverberator for multi-input, multi-output systems and demonstrate the significant extension of the design space.
