论文标题
单像素检测在光子噪声下多路复用的信噪比分析。 Hadamard和余弦正调制案例
Signal-to-noise ratio analysis of single-pixel detection multiplexing under photon-noise. Cases of Hadamard and Cosine positive modulation
论文作者
论文摘要
在典型的单像素检测多路复用中，一个未知对象被强度模式依次照亮：将总信号求和到单像素检测器中，然后将其解散以检索对象。由于测量噪声，检索到的对象与地面真相不同，通过信噪比（SNR）量化的某些误差。在仅由光子计数过程引起的噪声的情况下，尚不清楚单像素检测多路复用是否会导致更好的SNR，而不是简单地使用聚焦强度斑点扫描对象 - 一种称为光栅扫描的方式。这项研究理论上评估了与某些类型的单像素检测多路复用相关的SNR，并将其与栅格扫描进行了比较。特别是，我们表明，在光子噪声下，当正强度调制基于Hadamard或余弦模式时，与栅格扫描相比，单像素检测多路复用不会系统地改善SNR。取而代之的是，它仅改善对象像素上的SNR至少比对象均值信号$ \ bar {x} $更明亮，其中$ k $是取决于调制方案的常数。
In typical single-pixel detection multiplexing, an unknown object is sequentially illuminated with intensity patterns: the total signal is summed into a single-pixel detector and is then demultiplexed to retrieve the object. Because of measurement noise, the retrieved object differs from the ground truth by some error quantified by the signal-to-noise ratio (SNR). In situations where the noise only arises from the photon counting process, it has not been made clear if single-pixel detection multiplexing leads to a better SNR than simply scanning the object with a focused intensity spot - a modality known as raster scanning. This study theoretically assesses the SNR associated with certain types of single-pixel detection multiplexing, and compares it with raster scanning. In particular, we show that, under photon noise, when the positive intensity modulation is based on Hadamard or Cosine patterns, single-pixel detection multiplexing does not systematically improve the SNR as compared to raster scanning. Instead, it only improves the SNR on object pixels at least $k$ times brighter than the object mean signal $\bar{x}$, where $k$ is a constant that depends on the modulation scheme.
