Student Paper 2.25
Optimal invariant test in coherent radar detection with unknown parameters

Mostafa Derakhtian - Sharif University of Technology, Mohammad Mehdi Nayebi - Sharif University of Technology, Ali Akbar Tadaion - Sharif University of Technology

Tue, 27 April 2004, 3:20 PM - 4:10 PM

Abstract

In this paper, we propose a new detector to test the presence of the radar signal with unknown parameters in unknown variance additive white Gaussian noise. Uniformly Most Powerful Invariant (UMPI) tests and unitary filter banks are combined in a new detector. This problem does not fit the linear model due to the unknown Doppler frequency. It is found that the UMPI test does not exist for such a problem. In our detector, we apply an appropriate linear transformation, which is a unitary filter bank, to the concerned radar signal and the problem is converted to the canonical form. Since UMPI test does exist for the canonical form, then we derive an optimal invariant test for our problem.

Bios

Mostafa Detekhtian was born in Iran in 1974. He received BSEE and MSEE degrees in 1996 and 1998, respectively, both in Electrical Engineering from Sharif University of Technology(SUT), Tehran, Iran. He is a PhD student of SUT in Electrical Engineering, since 2001.

Dr. Mohammad Mehdi Nayebi - Sharif University of Technology

Mohammd M. Nayebi was born in Iran in 1967. He received BSEE and MSEE degrees in 1988 and 1990, respectinely, both from Sharif University of Technology, Tehran, Iran, with the honor first rank. He received Ph.D. degree in Electrical Engineering in 1994 from Tarbiat Modarres University, with the same honor. He joined the Sharif University of Technology faculty in 1994 and became associate professor in 1998 and professor in 2003. His main research interests are Radar Signal Processing and Detection Theory. Also, he has published more than 40 technical papers in international and natoinal journals and conferences.

Mr. Ali Akbar Tadaion - Sharif University of Technology

Ali A. Tadaion was born in Iran in 1976. He received BSEE and MSEE degrees in 1998 and 2000, respectively, both in Electrical Engineering from Sharif University of Technology (SUT), Tehran, Iran. He is a PhD student of SUT in Electrical Engineering, since 2000.