论文标题
在一位量子图像传感器中读取噪声的位密度的不敏感性
On the Insensitivity of Bit Density to Read Noise in One-bit Quanta Image Sensors
论文作者
论文摘要
一位量子图像传感器是一种光子计数设备，可产生二进制测量值，其中每个位代表存在或不存在光子。在存在读取噪声的情况下，传感器使用阈值$ q $将模拟电压量化为二进制位。比特斯流中的平均数量称为点密度，通常是信号估计的足够统计数据。当量子曝光处于统一性并且阈值为$ q = 0.5 $时，会观察到一个有趣的现象。只要读取噪声水平不超过一定的限制，位密度就表现出完全不敏感的。换句话说，位密度与读取噪声量无关。本文通过得出现象发生的条件来对现象进行数学解释。已经发现，当基础泊松高斯分布的某些形式的对称性所具有时，这种不敏感性就会产生。
The one-bit quanta image sensor is a photon-counting device that produces binary measurements where each bit represents the presence or absence of a photon. In the presence of read noise, the sensor quantizes the analog voltage into the binary bits using a threshold value $q$. The average number of ones in the bitstream is known as the bit-density and is often the sufficient statistics for signal estimation. An intriguing phenomenon is observed when the quanta exposure is at the unity and the threshold is $q = 0.5$. The bit-density demonstrates a complete insensitivity as long as the read noise level does not exceeds a certain limit. In other words, the bit density stays at a constant independent of the amount of read noise. This paper provides a mathematical explanation of the phenomenon by deriving conditions under which the phenomenon happens. It was found that the insensitivity holds when some forms of the symmetry of the underlying Poisson-Gaussian distribution holds.
