Frequency and 2-d angle estimation based on uniform circular array

A modified method based uniform circular array for wide frequency band is presented in this paper in order to estimate parameters of signal frequency, azimuth angle and elevation angle. In the method a new matrix, which is called cumulants-based mixed direction-of-arrival (DOA) matrix, is formed by the special structure of uniform circular array. Under the condition of sub-Nyquist spatio-temporal sampling, we can estimate no ambiguous frequency, and then we can get no ambiguous 2-D angles by general eigen-decomposed of mixed DOA matrix pencil. The modified method can realize the azimuth and elevation angle that are automatically paired with frequency.

[1]  Michael D. Zoltowski,et al.  Eigenstructure techniques for 2-D angle estimation with uniform circular arrays , 1994, IEEE Trans. Signal Process..

[2]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[3]  Jar-Ferr Yang,et al.  Adaptive eigensubspace algorithms for direction or frequency estimation and tracking , 1988, IEEE Trans. Acoust. Speech Signal Process..

[4]  Michael D. Zoltowski,et al.  Real-time frequency and 2-D angle estimation with sub-Nyquist spatio-temporal sampling , 1994, IEEE Trans. Signal Process..

[5]  Michael D. Zoltowski,et al.  Direction finding with uniform circular arrays via phase mode excitation and beamspace root-MUSIC , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  Jerry M. Mendel,et al.  Applications of cumulants to array processing - I. Aperture extension and array calibration , 1995, IEEE Trans. Signal Process..

[7]  Michael D. Zoltowski,et al.  Direction finding with circular arrays via phase mode excitation and Root-MUSIC , 1992, IEEE Antennas and Propagation Society International Symposium 1992 Digest.

[8]  Benjamin Friedlander,et al.  Direction finding algorithms based on high-order statistics , 1991, IEEE Trans. Signal Process..

[9]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[10]  Tapan K. Sarkar,et al.  A note on the Cramer-Rao bound for 2-D direction finding based on 2-D array , 1991, IEEE Trans. Signal Process..