2016-11-16
Large Linear Random Symmetric Arrays
By
Progress In Electromagnetics Research M, Vol. 52, 67-77, 2016
Abstract
In this work linear random arrays are studied. It is shown that random symmetric linear arrays can be more easily characterised (with respect to the asymmetric ones) in terms of the first and second order statistics of the array factor magnitude. In particular, the non-stationarity of the array factor can be taken into account while studying the array response. Accordingly, this leads to more accurate predictions as far as the side-lobe level is concerned.
Citation
Giovanni Buonanno, and Raffaele Solimene, "Large Linear Random Symmetric Arrays," Progress In Electromagnetics Research M, Vol. 52, 67-77, 2016.
doi:10.2528/PIERM16062706
References

1. King, D. D., R. F. Packard, and R. K. Thomas, "Unequally-spaced, broad-band antenna arrays," IRE Transactions on Antennas and Propagation, Vol. 8, 380-384, July 1960.
doi:10.1109/TAP.1960.1144876        Google Scholar

2. Maffett, A. L., "Array factors with non uniform spacing parameters," IRE Transactions on Antennas and Propagation, Vol. 10, 131-146, 1962.
doi:10.1109/TAP.1962.1137831        Google Scholar

3. Lo, Y. T., "A mathematical theory of antenna arrays with randomly spaced elements," IEEE Trans. Antennas and Propagation, Vol. 12, 257-268, 1964.
doi:10.1109/TAP.1964.1138220        Google Scholar

4. Lo, Y. T., "A probabilistic approach to the problem of large antenna arrays," Radio Sci., Vol. 68D, 1011-1019, September 1964.        Google Scholar

5. Lo, Y. T., "High resolution antenna arrays with randomly spaced elements," 1963 PTAG Symp., 1963.        Google Scholar

6. Agrawal, V. and Y. Lo, "Distribution of sidelobe level in random arrays," Proc. IEEE, Vol. 57, No. 10, 1764-1765, 1969.
doi:10.1109/PROC.1969.7392        Google Scholar

7. Agrawal, V. D. and Y. T. Lo, "Mutual coupling in the phased arrays of randomly spaced antennas," IEEE Trans. Antennas and Propagation, Vol. 20, 288-295, May 1972.
doi:10.1109/TAP.1972.1140188        Google Scholar

8. Krishnamurthy, S., D. W. Bliss, and V. Tarokh, "Sidelobe level distribution computation for antenna arrays with arbitrary element distributions," 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR), 2045-2050, 2011.
doi:10.1109/ACSSC.2011.6190386        Google Scholar

9. Krishnamurthy, S., D. W. Bliss, C. Richmond, and V. Tarokh, "Peak sidelobe level gumbel distribution for arrays of randomly placed antennas," 2015 IEEE Radar Conference (RadarCon), 1671-1676, 2015.
doi:10.1109/RADAR.2015.7131267        Google Scholar

10. Lo, Y. T., "Aperiod arrays," Antenna Handbook, Y. T. Lo, S. W. Lee, Vol. 2, Antenna Theory, Chapter 14, Chapman and Hall, 1993.        Google Scholar

11. Braun, R. and W. van Cappellen, "Aperture Arrays for the SKA: Dense or Sparse?," SKA Memo 87, 2006.        Google Scholar

12. Shishkov, B., N. Shinohara, K. Hashimoto, and H. Matsumoto, "On the optimization of sidelobes in large antenna arrays for microwave power transmission," IEICE Technical Report, Vol. SPS 2006-11, 5-11, October 2006.        Google Scholar

13. Bilinskis, I. and M. A. Lagunas, "Randomizing of array element spacing and of processing array signals," The Sixth European Signal Processing Conference, Brussels, August 25-28, 1992.        Google Scholar

14. Balanis, C. A., Antenna Theory: Analysis and Design, 2nd Ed., John Wiley and Sons, Inc., 1996.

15. DonVito, M. B. and S. A. Kassam, "Characterization of the random array peak sidelobe," IEEE Trans. Antennas and Propagation, Vol. 27, 379-385, May 1979.
doi:10.1109/TAP.1979.1142097        Google Scholar

16. Couch, L. W., Digital and Analog Communication Systems, 6th Ed., Prentice Hall, 2001.

17. Rice, S. O., "The mathematical analysis of random noise," Bell System Tech. J., Vol. 23, 282-332, 1944; Vol. 24, 46-156, 1945.
doi:10.1002/j.1538-7305.1944.tb00874.x        Google Scholar

18. Steinberg, B. D., "The peak sidelobe of the phased array having randomly located elements," IEEE Trans. Antennas and Propagation, Vol. 20, 129-136, 1972.
doi:10.1109/TAP.1972.1140162        Google Scholar

19. Papoulis, A. and S. U. Pillai, Probability, Random Variables and Stochastic Processes, 4th Ed., McGraw Hill, 2002.