SNR walls in eigenvalue-based spectrum sensing

SNR walls in eigenvalue-based spectrum sensing
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DOI:
10.1186/s13638-017-0899-y
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发表时间:
2017-06-19
影响因子:
2.6
通讯作者:
Mathar, Rudolf
Mathar, Rudolf
中科院分区:
计算机科学4区
文献类型:
--
作者:
Bollig, Andreas;Disch, Constantin;Mathar, Rudolf

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各种频谱感测方法已被证明遭受所谓的信噪比(SNR)墙,SNR值低于该SNR值,无论使用多少观测,检测器都不能稳健地执行。到目前为止,基于特征值的最大-最小特征值(MME)检测器是一个显着的例外。例如,已知对能量检测器的基本限制负责的接收机噪声功率的不完善知识的模型不确定性不会不利地影响最大最小特征值(MME)检测器的性能。虽然加性白色高斯噪声(AWGN)是无线通信中的标准假设,但是对于最大最小特征值(MME)检测器,它不是合理的假设。事实上,在这项工作中,我们证明了噪声着色量的不确定性确实会导致最大最小特征值(MME)检测器的SNR墙。我们推导出这个SNR墙的下限,并评估它的例子场景。数值模拟的结果支持。
Various spectrum sensing approaches have been shown to suffer from a so-called signal-to-noise ratio (SNR)-wall, an SNR value below which a detector cannot perform robustly no matter how many observations are used. Up to now, the eigenvalue-based maximum-minimum-eigenvalue (MME) detector has been a notable exception. For instance, the model uncertainty of imperfect knowledge of the receiver noise power, which is known to be responsible for the energy detector's fundamental limits, does not adversely affect the maximum-minimum-eigenvalue (MME) detector's performance. While additive white Gaussian noise (AWGN) is a standard assumption in wireless communications, it is not a reasonable one for the maximum-minimum-eigenvalue (MME) detector. In fact, in this work, we prove that uncertainty in the amount of noise coloring does lead to an SNR wall for the maximum-minimum-eigenvalue (MME) detector. We derive a lower bound on this SNR wall and evaluate it for example scenarios. The findings are supported by numerical simulations.