Title :
The analysis and simulation of the detectors based on FRFT statistic performance
Author :
Liu Jian-guo ; Yuan Bing-cheng
Author_Institution :
Dept. of Weapon Eng., Naval Univ. of Eng., Wuhan
Abstract :
The task to analyze the statistic performance of the detectors based on the Fractional Fourier Transform (FRFT) is simplified via the way to research the statistic properties of the random variables located at the peak of the FRFT envelop and intensity. Their ROC curve and output SNR are obtained. It is shown that under great input SNR, the detection performance of this kind nonlinear detector is close to the optimal receiver -matched filter. Their ROC curves and output SNR only depend on the input SNR and the product of the receiver time-width and frequency-bandwidth, but have nothing to do with the peak value and position of the FRFT envelop or intensity. So the detectors have excellent adaptive capability to the signal parameters, including phase, time-delay, frequency-shift, central frequency and the rate of frequency modulation etc. The computer simulation has been carried out with the Monte Carlo simulation method, and the experimental ROC is consistent well with the theoretic ones. Compared to the matched filter, the detectors based on FRFT have better future in the case of motion target or motion target maneuvers with different acceleration being detected.
Keywords :
Fourier transforms; Monte Carlo methods; matched filters; signal detection; Monte Carlo simulation method; fractional Fourier transform; matched filter; nonlinear detector; random variables; receiver frequency-bandwidth; receiver time-width; Adaptive signal detection; Analytical models; Detectors; Filters; Fourier transforms; Frequency; Motion detection; Performance analysis; Random variables; Statistical analysis;
Conference_Titel :
System Simulation and Scientific Computing, 2008. ICSC 2008. Asia Simulation Conference - 7th International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-1786-5
Electronic_ISBN :
978-1-4244-1787-2
DOI :
10.1109/ASC-ICSC.2008.4675621