Adaptive Frequency Band Estimation and Analysis

许多生物医学时间序列的频域特性包含有价值的信息。这些 属性是通过其功率S谱来表征的，它描述了对变异性的贡献 指以不同频率振荡的波形所产生的时间序列。寻求低维的从业者 对总体功率谱的测量概述通常将频率划分为频段和 在这些范围内创建崩溃的权力衡量标准。然而，标准频段有 很大程度上是通过对时间序列数据的主观检查来开发的，可能不能提供足够的 对给定的感兴趣人群的功率谱的汇总测量。这项建议旨在 建立了复制时间序列的自适应频带估计和分析的新框架， 从而弥合了单个时间序列的光谱信息分析和 对种群内光谱信息的分析。与这项努力相关的四个具体目标 是：(1)开发一种用于复制的平稳信号的频带估计方法，该方法最好 保持种群内复制的可变性，(2)开发本地频带 最佳保持时间和重复变化的复制非平稳信号的估计方法 群体内的行为，(3)开发一种用于复制的频带估计方法， 最好地保留个体之间的特征和相互关系的多变量信号 组件和(4)开发一套跨多个软件平台的用户友好的分析工具。 将进行蒙特卡罗模拟研究，以探索所建议的经验特性 方法，并将其性能与传统频段的使用进行比较。调查人员 将使用这些新方法来分析一系列生物信号，包括心率变异性、瞳孔 扩张术和磁共振成像，来自现有的三项研究，以解决各种生物学和临床问题。这个 在实际调查中的影响预计是巨大的，为从业者配备合理的 分析从广泛的科学和生物医学研究中收集的数据的最佳工具。 相关性(请参阅说明)： 该提案将设计识别频段摘要的实用统计程序 生物医学时间序列数据的度量，这些数据最好地刻画了一个人口的振荡模式 利息。研究人员将使用这些新方法来分析现有的三种生物信号 研究并为从业者提供最佳工具来分析来自广泛领域的数据 生物医学研究。

The frequency-domain properties of many biomedical time series contain valuable information. These properties are characterized through its power s pectrum, which describes the contribution to the variability of a time series from waveforms oscillating at different frequencies. Practitioners seeking low dimensional summarymeasures of the power spectrum from a population often partition frequencies into bands and create collapsed measures of power within these bands. However, standard frequency bands have largely been developed through subjective inspection of time series data and may not provide adequate summary measures of the power spectrum for a given population of interest. This proposal seeks to establish a new framework for adaptive frequency band estimation and analysis for replicated time series, thus bridging an important gap between the analysis of spectral information from a single time series and the analysis of spectral information within a population. The four specific aims associated with the effort are: (1) to develop a frequency band estimation method for replicated, stationary signals that best preserves variability across replicates within a population, (2) to develop a local frequency band estimation method for replicated, nonstationary signals that best preserves time and replicate-varying behavior within a population, (3) to develop a frequency band estimation method for replicated, multivariate signals that best preserves the characteristics and interrelationships between individual components and (4) to develop a suite of user-friendly analytical tools across multiple software platforms. Monte Carlo simulation studies will be conducted to explore the empirical prope rties of the proposed methods and to compare their performances to the use of traditional frequency bands. The investigators will use these new methods to analyze a range ofbiological signals, including heart rate variability, pupil dilation, and MRI, from three existing studies to address a variety of biological and clinical questions. The impact in practical investigations is expected to be substantial, equipping practitioners with justified optimal tools for analyzing data collected from a broad spectrum of scientific and biomedical studies. RELEVANCE (See instructions): This proposal will design practical statistical procedures for identifying frequency band summary measures of biomedical time series data that optimally characterize oscillatory patterns for a population of interest. The investigators will use these new methods to analyze biological signals from three existing studies and provide practitioners with optimal tools for analyzing data from a broad spectrum of biomedical studies.