Radar detection in the moments space of the scattered signal parameters

Two-dimensional Determination of the Decision Boundary for a Radar Detection Method in the Moment Space

“…Th e DRACEC method (DRACEC is an Spanish acronym for Radar target Detection by Analysis and Statistical Classifi cation of the Cellular Emission) (Chávez 2002;Chávez and Guillén 2018) applies the aforementioned criteria with a notable diff erence with respect to conventional techniques: instead of using echo signal parameters for detection (amplitude, phase, frequency, etc. ), it uses a function of some of their moments (mean, second order moment, correlation, etc.).…”

“…To guarantee the P FA , DRACEC requires to estimate the detection threshold using the SDS Probability Density Function (PDF) (Chávez and Guillén 2018). Although this threshold has a direct representation in the SDS domain, it is useful to analyze its equivalent in the moments space: the decision boundary (Chávez and González 2008).…”

Selection of Sampling Interval and Size of Random Sample for Radar Detection in the Moments Space

“…The conceptual framework proposed by DRACEC [9] was the first to consider radar detection with decision making in the moments space. The application of this technique to a general set of signal parameters and three-dimensional surveillance regions is detailed in previous work [9,14]. In order to facilitate the analysis and notation the method is henceforth particularized to the case of a single parameter: the amplitude of the received signal, which is the more relevant for most applications.…”

“…DRACEC divides the surveillance region into a number of resolution cells corresponding to various angular sectors and ranges [14]. A change in any cell will cause disturbances that affect the statistical moments of the underlying random process and therefore can be detected.…”

“…The above discussion arises two worthy questions: what sampling interval guarantees that the samples are decorrelated and what would be the random sample size required to obtain Gaussian moments? Works related to detection through moments can be found in [9,[12][13][14][15][16][17] but none of them has carried out a study with real radar signals to answer the above mentioned questions. Therefore, the objective of this research is to select suitable values for the sampling interval and the size of random sample to guarantee that the joint distribution of the moments is close to the Gaussian.…”