Radar Detection and Track Determination with a Transform Analogous to the Hough Transform

Abstract

We propose in this paper the standard Hough transform to be changed with analogous polar Hough transform (PHT). The obtained polar Hough detection algorithm is very comfortable for track and target detection because the input parameters of this transform are the output parameters of the search radar. Another important advantage is the transform stability when the target changes its speed and flies at different azimuths.

Netted radar Hough detector in randomly arriving impulse interference

“…It is also assumed that the total background environment includes two situations: (i)-Poisson interference plus noise, which may appear at the receiver input with a probability of e 0 , and (ii) -noise only -with a probability of (1-e 0 ), where F is the average repetition frequency of impulse interference and t c is the pulse length. The probability density function (pdf) of the signal power is given in [13] and used in [3,9,10]. where λ 0 is the average power of the receiver noise, r j is the average interference-to-noise ratio (INR) of impulse interference, s is the average signal-to-noise ratio (SNR).…”

“…In order to keep the constant false alarm rate in conditions of impulse interference, in the range-azimuth-time space, signal detection is carried out by a CFAR detector instead the detector with a fixed detection threshold. For determination of the non-radial trajectory, the standard Hough transform is replaced by the polar Hough transform [9,10]. The algorithm under study includes a CFAR detector, which operates in the scan area, a polar Hough transform of the target distance measurements into the parameter space, a binary integrator of data and a detector of linear trajectory in the parameter space.…”

“…The centralized Hough detector is compared to decentralized Hough detector by detection probability for different binary rules in Hough parameter space; the results are shown on Figure 5. In order to analyze the quality of the Hough detectors we consider radars with equal parameters, similar to those in [2,[9][10][11][15][16][17]. The results have shown that the detection probability of centralized detector is almost twice as much than distributed detector.…”

“…The algorithm under study includes a parametric CFAR detector, which works successfully in conditions of impulse interference and uses the polar Hough transform. In contrast to the HT, proposed by Carlson, Evans, and Wilson in [2], the polar Hough detection algorithm considered in the paper, is very effective for track and target detection because the input parameters of the transform are the output parameters of the search radar [9,10]. Another important advantage is the transformation stability when the target velocity changes abruptly and the target azimuth varies in time.…”

Detection Acceleration in Hough Parameter Space by K-Stage Detector

“…These CFAR Hough detectors have been studied in cases when the target flies in one azimuth and the speed is constant. As continuation of this research work, the use of a polar Hough (PH) transform is proposed in [5], which is also suitable for search radar. This transform is analogous to the standard Hough transform, where the input parameters are target range and azimuth obtained from the search radar.…”