子空间干扰与噪声中子空间波形的检测

J. A. Gubner, L. Scharf
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引用次数: 6

摘要

多址通信和现代雷达、声纳系统的自然模型涉及无限维的波形空间。这些系统中的一个共同问题是在存在子空间干扰和宽带噪声的情况下检测子空间信号。总的来说,这类问题的现有理论都是针对有限维的测量空间发展起来的,而不是针对这里需要的无限维的波形空间。本文推导了波形问题的广义似然比检测器的对数,并证明了它有一定的卡方分布,取决于假设。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Detection of subspace waveforms in subspace interference and noise
The natural models of multi-access communication and modern radar and sonar systems involve infinite-dimensional waveform spaces. A common problem in these systems is the detection of subspace signals measured in the presence of subspace interference and broadband noise. By and large, the existing theory for such problems has been developed for finite-dimensional measurement spaces rather than the infinite-dimensional waveform spaces needed here. In this paper the log of the generalized likelihood ratio detector for the waveform problem is derived and is shown to have a certain chi-squared distribution, depending on the hypothesis.
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