通过稀有贝叶斯学习来估计到达方向,利用低复杂度的等级优先级
Ninghui Li1, Xiaokuan Zhang2, Fan Lv1
1Graduate School, Air Force Engineering University, Xi'an 710051, China.
Sensors (Basel, Switzerland)
|April 13, 2024
概括
用于到达方向 (DOA) 估计的稀疏贝叶斯学习 (SBL) 方法使用层次先验和多个测量向量 (MMV) 的块稀疏模型来增强. 新的BSBL算法改进了稀疏信号恢复 (SSR) 并降低了复杂性.
科学领域:
- 信号处理 信号处理
- 阵列信号处理 阵列信号处理
- 计算电磁学 计算机电磁学
背景情况:
- 稀疏贝叶斯式学习 (SBL) 在到达方向 (DOA) 估计方面表现出色,但传统的高斯式先验限制了稀疏信号恢复 (SSR).
- 层次优先级改善SSR,但与多次测量向量 (MMV) 数据进行斗争.
- 现有的方法面临MMV数据和计算复杂性的挑战.
研究的目的:
- 开发一种新的区块分散SBL (BSBL) 方法,用于MMV场景中的DOA估计.
- 通过将层次优先级与区块分散模型相结合来提高SSR性能.
- 为了减少BSBL的计算复杂性,用于实际应用.
主要方法:
- 建议采用一个区块散点SBL (BSBL) 方法,将MMV模型向量化成一个区块散点形式.
- 层次优先级被整合起来以提高SSR能力.
- 引入了两个低复杂度的变体,BSBL-APPR (近似) 和BSBL-GAMP (通用近似消息传递).
主要成果:
- 与MMV模型中的传统SBL和其他最先进的算法相比,BSBL展示了优越的SSR性能.
- 在保持高估计精度的同时,BSBL-APPR和BSBL-GAMP显著降低了计算复杂性.
- 提出的方法有效地抑制时间相关性,并处理宽带源.
结论:
- 开发的BSBL方法通过利用层次先验和区块分散结构,为MMV数据提供了增强的DOA估计性能.
- 对于复杂的稀疏信号恢复问题,BSBL-APPR和BSBL-GAMP提供了高效且在计算上可行的解决方案.
- 该BSBL框架显示了对阵列信号处理及其他领域的先进应用的前景.
相关概念视频
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
69
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
69
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
487
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
On...
487
Distributions to Estimate Population Parameter
4.1K
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
4.1K
Cluster Sampling Method
11.9K
Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
11.9K
Stratified Sampling Method
12.0K
Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a stratified sample, divide the population into groups called strata and then take a...
To choose a stratified sample, divide the population into groups called strata and then take a...
12.0K
Estimating Population Mean with Unknown Standard Deviation
7.7K
In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the...
William S. Gosset (1876–1937) of the...
7.7K


