Calculation of false-detection rate for Nasu interferometric sky survey

This article proposes a method for calculating the false-detection/alarm rate for the Nasu interferometric sky survey. This method considers both spectral intensity and time width of a fringe in the time-frequency domain. It detects periodic waves with a given time width in a noise band and calculates the distribution of the spectral intensity of the waves. Using this distribution, we can calculate the false-positive rate of fringe detection and determine the reliability of the detection results as an objective probability. The proposed method can be applied to interferometric observations such as the Nasu sky survey whose observation results depend entirely on the existence of fringes.