## 1 Introduction  
Since photon-counting imaging detectors can detect weak signals, they can be applied to quantum communication, sensing and metrology [1]. Moreover, photon-counting imaging detectors can be used to measure the electric field of terahertz radiation [2], detect the composition of dark matter [3] and carry out low-light-level time-resolved fluorescence microscopy [4; 5; 6; 7; 8; 9]. In order to improve the efficiency and quality of the detection, researchers are constantly improving and refining the detectors [10]. In photon-counting imaging detectors, the dark count rate and readout noise are very important factors that affect the detection accuracy. A very low dark count rate and very low readout noise means that the detector can record the echo signal very accurately, even if the echo signal is very weak. A cross-strip (XS) anode detector based on a microchannel plate (MCP) and a position-sensitive anode has a very low dark count rate and very low readout noise. The XS anode detector was first proposed and successfully developed by [PERSON] et al. at the University of California, Berkeley, in 1998 [11]. The anode design, imaging simulations and imaging algorithms for XS anodes continued to be investigated over the next 20 years or so [12; 13; 14; 15; 16]. To the best of our knowledge, an XS detector can achieve a high spatial resolution of 5-25 \(\upmu\)m and a high count rate of \(10^{7}\) counts/s, and an XS detector has a long lifetime. XS anode detectors, with their excellent properties, are used in long-range space exploration systems such as the World Space Observatory-Ultraviolet (WSO-UV) [17] and the Colorado High-Resolution Echelle Stellar Spectrograph (CHESS) [18]. The XS anode is a charge-splitting anode consisting of multiple layers of strip electrodes and ceramic insulation. The XS anode receives the electron cloud emitted by the MCP stack using independent microstrips as the charge-splitting electrodes, each connected to an identical and independent circuit detector [19]. As shown in Figure 1, a photon is incident on a photocathode through a window. The photocathode converts it into a photoelectron, which is multiplied by the MCP stack into an electron cloud containing about \(10^{7}\) electrons. The electron cloud from the MCP stack falls onto the XS anode, and the charge of the cloud is collected by the electrodes of the anode. Furthermore, the charge pulse signals are amplified using a front-end charge amplifier circuit and then digitized using a digital acquisition circuit and transmitted to a host computer. Finally, position decoding of the incident event is required to obtain the position coordinates of the photons arriving at the detector. Various algorithms can be used for position decoding [20; 21; 22], such as the Gaussian three-point center of mass algorithm, center of gravity algorithm, Lorentzian algorithm, Parabola algorithm, Hyperbolic cosine algorithm, weighted center of gravity algorithm, ratio method, generalized ratio method, generalized method and so on. In conventional XS detection, the detector receives the photons emitted by the target and accumulates the number of photons per pixel to produce an image. When an XS is used for target localization, more attention is often paid to the location of the center of mass of the detected target. In the imaging process, an object point does not correspond to a sharp point on the image plane but diffuses into a spot. Even a small object can diffuse into a larger spot on the detector's image plane, making it difficult to distinguish the exact location of the object. This detection method requires that the time interval between two photons arriving at the detector in close spatial proximity be greater than the dead time. Otherwise, the signals generated by the two photons will be superimposed during Gaussian shaping. The aliased signals result in the detector not being able to correctly obtain the position of the photons. These aliased data are generally regarded as noise and are rejected in conventional XS detection.