多目标滤波的区域方差

IF 4.6 2区工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Signal Processing Pub Date : 2014-06-03 DOI:10.1109/TSP.2014.2328326

Emmanuel Delande;Murat Üney;Jérémie Houssineau;Daniel E. Clark

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引用次数: 48

摘要

多目标滤波的最新进展导致了基于传感器测量来计算多目标分布的一阶矩的算法。可以使用一阶矩来估计任意选择区域中的目标数量。在这项工作中，我们介绍了计算目标数的二阶统计量的显式公式。所提出的区域方差概念量化了任意区域中目标数量估计的置信水平，并促进了基于信息的决策。我们提供了概率假设密度（PHD）和基数化概率假设密度滤波器（CPHD）的计算算法。我们通过模拟实例展示了区域统计的行为。

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Regional Variance for Multi-Object Filtering

Recent progress in multi-object filtering has led to algorithms that compute the first-order moment of multi-object distributions based on sensor measurements. The number of targets in arbitrarily selected regions can be estimated using the first-order moment. In this work, we introduce explicit formulae for the computation of the second-order statistic on the target number. The proposed concept of regional variance quantifies the level of confidence on target number estimates in arbitrary regions and facilitates information-based decisions. We provide algorithms for its computation for the probability hypothesis density (PHD) and the cardinalized probability hypothesis density (CPHD) filters. We demonstrate the behaviour of the regional statistics through simulation examples.

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来源期刊

IEEE Transactions on Signal Processing 工程技术-工程：电子与电气

CiteScore

11.20

自引率

9.30%

发文量

310

审稿时长

3.0 months

期刊介绍： The IEEE Transactions on Signal Processing covers novel theory, algorithms, performance analyses and applications of techniques for the processing, understanding, learning, retrieval, mining, and extraction of information from signals. The term “signal” includes, among others, audio, video, speech, image, communication, geophysical, sonar, radar, medical and musical signals. Examples of topics of interest include, but are not limited to, information processing and the theory and application of filtering, coding, transmitting, estimating, detecting, analyzing, recognizing, synthesizing, recording, and reproducing signals.