CFAR multi-target detection based on non-central Chi-square distribution for FMCW

Abstract

The results of synthesis and analysis of the effectiveness of the optimal location-based system for joint detection and estimation of informative parameters of quasi-determined radar signals with frequency modulated continuous wave are presented. A method has been developed for calculating the noise immunity indices of frequency modulated continuous wave radars and the detection threshold of signals in the quadrature channels of the optimal radar receiver based on off-center χ‘2-distribution for given technical characteristics of the location system, including the mode of operation for detecting and evaluating parameters in multi-target mode.

Method for Remote Determination of Object Coordinates in Space Based on Exact Analytical Solution of Hyperbolic Equations

“…It should be noted that K i 1 and K i 2 are both positive and often occur with a positive z coordinate. In this case, the algorithm [ 56 ] is generally unable to give the correct values of the target coordinates. The method of linearizing hyperbolic equations also leads to a gross error in determining the coordinates of the object.…”

“…It should be noted that the algorithm with one equation [ 56 ], as well as the linearization method, produces a gross error at the points of the 3D space at which the determinant of the system of equations becomes zero. An example of such a situation is shown in Figure 5 .…”

“…A linear frequency-modulated microwave radar waveform is used in many applications, including microwave-range automobile radars for the simultaneous measurement of velocity and distance, which use signals of a special shape, including frequency-modulated continuous-wave (FMCW) [ 51 ]. Mathematical models of the received microwave signal for automotive radar systems taking into account a different range of velocity and distance for vehicles, were proposed in [ 52 , 53 , 54 , 55 , 56 , 57 , 58 ]. In [ 52 ], it is shown that the use of phase methods to determine the speed of the target significantly reduces the noise immunity of the radar, and methods based on processing the amplitude spectrum of the received radio signal by the Fast Fourier Transformation (FFT) are therefore preferable.…”

“…In [ 53 ] is the algorithm for estimating the speed and distance to the target as applied to the automotive radar with linear FMCW, using the FFT for amplitude spectrum and taking into account the occurrence of false targets. The results of synthesis and analysis of the effectiveness of the optimal location-based system for joint detection and estimation of informative parameters of quasi-determined radar signals with frequency modulated continuous wave are presented in [ 56 ]. In [ 57 ], the authors explore the properties of the multi-target method for small unmanned vehicle parameters’ remote determination by microwave radars, which allows significantly expanding the range of unambiguously determined speeds of unmanned vehicles.…”

Detection Error Contaminated by Outliers to Classify Density Profiles Dependent on the Relative Speed Between a MIMO Sensor and a Human Hand

“…However, it has not yet been elucidated whether the performance of radars is reliable enough to achieve the required safety integrity level or whether they can be applied for detecting human hand intrusion [2], [15], [26]. From the perspective of human detection and tracking, undesired background noise, known as "clutter," is uniformly distributed and can be sufficiently reduced using a constant false alarm rate method [27], [28]. However, in dynamic conditions, a constant false alarm rate method leads to incorrect detection, which must be alleviated to ensure safety [29].…”