论文标题
基于CFAR的NOMP用于线光谱估计和检测
CFAR based NOMP for Line Spectral Estimation and Detection
论文作者
论文摘要
本文考虑了线频谱估计问题。我们提出了一种基于CFAR的Newtonized OMP（NOMP-CFAR）方法，该方法可以在不了解噪声方差的情况下保持所需的错误警报率。 NOMP-CFAR由两个步骤组成，即初始化步骤和检测步骤。在初始化步骤中，使用NOMP来获得候选正弦成分。在检测步骤中，使用CFAR检测器来检测每个候选频率，并删除最不可能的频率组件。然后，使用牛顿改进来完善其余参数。虚假警报率与所需阈值之间的关系已建立。通过与NOMP进行比较，NOMP-CFAR在附加的白色高斯噪声方案中只有$ 1 $ dB的性能损失，而虚假警报概率$ 10^{ - 2} $，并且检测概率$ 0.8 $，且不了解噪声差异。对于各种噪声方差方案，NOMP-CFAR仍然保留其CFAR属性，而NOMP违反了CFAR。此外，与CFAR和NOMP相比，还进行了实际实验以证明NOMP-CFAR的检测性能。
The line spectrum estimation problem is considered in this paper. We propose a CFAR-based Newtonized OMP (NOMP-CFAR) method which can maintain a desired false alarm rate without the knowledge of the noise variance. The NOMP-CFAR consists of two steps, namely, an initialization step and a detection step. In the initialization step, NOMP is employed to obtain candidate sinusoidal components. In the detection step, CFAR detector is applied to detect each candidate frequency, and remove the most unlikely frequency component. Then, the Newton refinements are used to refine the remaining parameters. The relationship between the false alarm rate and the required threshold is established. By comparing with the NOMP, NOMP-CFAR has only $1$ dB performance loss in additive white Gaussian noise scenario with false alarm probability $10^{-2}$ and detection probability $0.8$ without knowledge of noise variance. For varied noise variance scenario, NOMP-CFAR still preserves its CFAR property, while NOMP violates the CFAR. Besides, real experiments are also conducted to demonstrate the detection performance of NOMP-CFAR, compared to CFAR and NOMP.
