论文标题
对噪声的线性逆问题采样
Sampling linear inverse problems with noise
论文作者
论文摘要
我们研究加性噪声对与差异规范关系相关的FIO反转的影响。我们使用微局部缺陷度量来测量噪声的功率谱并分析在反转下如何转化该功率谱。特别是，我们计算添加到反转的噪声的标准偏差，这是添加到数据中噪声的标准偏差的函数。例如，我们研究平面和风扇梁坐标的平面中的ra换，并呈现数值示例。
We study the effect of additive noise to the inversion of FIOs associated to a diffeomorphic canonical relation. We use the microlocal defect measures to measure the power spectrum of the noise and analyze how that power spectrum is transformed under the inversion. In particular, we compute the standard deviation of the noise added to the inversion as a function of the standard deviation of the noise added to the data. As an example, we study the Radon transform in the plane in parallel and fan-beam coordinates, and present numerical examples.
