The Coherent Multiplex: Scalable Real-Time Wavelet Coherence Architecture
Noah Shore
相干多重倍增器被正式化和验证,作为一个可扩展的实时系统,用于识别、分析和可视化多个时间序列之间的一致性。 其架构包括基于傅里叶变换信号的余辛相似度指标的快速光谱相似层,以及用于小波相干的稀疏时间频率层。 该系统构建并发展了代表信号间关系的多层图,从而实现低延迟推理和监控。 模拟原型演示了8个合成通道的功能,具有高相似性阈值,用于进一步计算,并增加了扩展架构的机会,以支持数千个输入信号,并带有受限硬件。 讨论的应用程序包括神经科学,金融和生物医学信号分析。
The Coherent Multiplex is formalized and validated as a scalable, real-time system for identifying, analyzing, and visualizing coherence among multiple time series. Its architecture comprises a fast spectral similarity layer based on cosine similarity metrics of Fourier-transformed signals, and a sparse time-frequency layer for wavelet coherence. The system constructs and evolves a multilayer graph representing inter-signal relationships, enabling low-latency inference and monitoring. A simulati...