Joint estimation of frequency and angle-of-arrival for two element antenna array using Eigen-approach

ABSTRACT

An Eigen-approach method using a two-element antenna array for estimating the frequencies of source signals jointly with the angle-of-arrival (AOA) was proposed. The eigenvector corresponding to the minimum eigenvalue of the autocorrelation matrix was used initially to find the frequencies of the source signals. By moving the roots produced from the eigenvector one-by-one and finding the power of the output, the frequencies of the source signal were estimated. Finally, using the eigenvector of the autocorrelation for each output signals from the first stage produced the AOA for the source signal. The results presented validate the use of the Eigen-approach with the two-element antenna array method in finding an accurate estimation of frequencies and the AOA for the source signals at different noise power levels even when multiple source signals have the same AOA.

KEYWORDS:

• Frequency estimation
• angle-of-arrival (AOA)
• antenna arrays
• eigenvalues
• eigenvectors

Disclosure statement

No potential conflict of interest was reported by the author.

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Thabet Mismar

Dr. Thabet Mismar received his B.Sc. degree in Electrical Engineering from The University of Jordan, Amman, Jordan. He received his M.Sc. degree in Electrical Engineering from The University of Bridgeport, Bridgeport, CT, USA and his Ph.D. degree from the University of Toledo, Toledo, OH, USA. He is currently an Assistant Professor in the Networks and Communication Engineering Department in Al-Ain University in Abu Dhabi, UAE. His research interest include signal processing, mobile and wireless communication networks.