V2EX spectral-factorization

Spectral Factorization

释义 Definition

谱因子分解:在信号处理与时间序列分析中,把一个非负的谱密度函数/功率谱表示为某个(通常是复值)函数与其共轭(或倒数共轭)相乘的形式,以便构造滤波器、建立最小相位系统,或从谱推回到可实现的系统模型。(在不同领域也可指对谱矩阵的分解。)

发音 Pronunciation (IPA)

/spktrl fktrazen/

例句 Examples

Spectral factorization helps design a stable filter from a power spectrum.
谱因子分解可以从功率谱出发,帮助设计稳定的滤波器。

In time-series modeling, spectral factorization can be used to obtain a minimum-phase representation that matches the observed spectral density.
在时间序列建模中,谱因子分解可用于得到与观测谱密度相匹配的最小相位表示。

词源 Etymology

spectral 来自 spectrum(“光谱/谱”),源于拉丁语 spectrum(“影像、显现之物”);factorization 来自 factor(“因子”)+ 后缀 -ization(“使成……、……化”)。合起来表示“把谱表示为因子乘积的分解方法”。

相关词 Related Words

文献与作品 Notable Works

  • Spectral Analysis of Signals(Petre Stoica & Randolph Moses)
  • Random Data: Analysis and Measurement Procedures(Julius S. Bendat & Allan G. Piersol)
  • Discrete-Time Signal Processing(Alan V. Oppenheim & Ronald W. Schafer)
  • Time Series: Data Analysis and Theory(David R. Brillinger)
  • Time Series Analysis: Forecasting and Control(George E. P. Box, Gwilym M. Jenkins et al.)
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