附加独立噪声对二元复合假设检验问题的影响

2009 3rd International Conference on Signal Processing and Communication Systems Pub Date : 2009-10-30 DOI:10.1109/ICSPCS.2009.5306435

Suat Bayram, S. Gezici

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引用次数: 3

摘要

一些次优检测器的性能可以通过在其观测值中加入独立噪声来改善。本文研究了在广义Neyman-Pearson框架下，在探测器观测值中加入独立噪声对二元复合假设检验问题的影响。导出了充分的条件来确定何时可以或不能通过附加的独立噪声来改善检测器的性能。此外，还推导了存在附加噪声时检测器性能的上限和下限，并提供了最佳附加噪声的统计表征。此外，提出了两种优化技术来计算最优附加噪声。最后给出了仿真结果来验证理论结果。

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Effects of additional independent noise in binary composite hypothesis-testing problems

Performance of some suboptimal detectors can be improved by adding independent noise to their observations. In this paper, the effects of adding independent noise to observations of a detector are investigated for binary composite hypothesis-testing problems in a generalized Neyman-Pearson framework. Sufficient conditions are derived to determine when performance of a detector can or cannot be improved via additional independent noise. Also, upper and lower limits are derived on the performance of a detector in the presence of additional noise, and statistical characterization of optimal additional noise is provided. In addition, two optimization techniques are proposed to calculate the optimal additional noise. Finally, simulation results are presented to investigate the theoretical results.

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2009 3rd International Conference on Signal Processing and Communication Systems

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