| Two-dimensional Adaptive Antenna Arrays in Complex-valued and Real-valued Arithmetic |
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| Authors |
| | Djigan V.I. |
| Date of publication |
| | 2018 |
| DOI |
| | 10.31114/2078-7707-2018-4-161-168 |
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| Abstract |
| | The paper considers the application of the blind linearly-constrained adaptive filtering algorithms in complex-valued and real-valued arithmetic in two-dimensional communication antenna arrays. It is shown, that to ensure the odd symmetry of a two-dimensional array (the condition of the using of the real-valued arithmetic algorithms) it is necessary to put the phase center of such array at its geometrical center. Besides, to create one-dimensional vectors of the input signals and weights of two-dimensional odd-symmetrical array, the signals and weights have to be ordered accordingly their numbering along the rows or columns of the array. The computational procedures of the blind linearly-constrained RLS and LMS adaptive filtering algorithms in real-valued arithmetic are provided. The simulation results of the real-valued and complex-valued arithmetic adaptive filtering algorithms in two-dimensional array with 8υ4=32 antennas are presented. The results confirm that the algorithms operate correctly in such arrays. In steady-state the real-valued algorithms provide about 3 dB deeper dips in radiation pattern of two dimensional arrays towards the interference sources comparing with those of complex-valued arithmetic algorithms. This result is also achieved if the same adaptive filtering algorithms are used in linear (one-dimensional) arrays. The considered results can be used in the design of communication systems with adaptive arrays where the directions towards the information signals sources are known. The directions are used to create the linear constraints in the adaptive array radiation pattern during the adaptive algorithm operation. |
| Keywords |
| | adaptive array, LMS algorithm, RLS algorithm, linearly constrained filtering, complex-valued computations, real-valued computations |
| Library reference |
| | Djigan V.I. Two-dimensional Adaptive Antenna Arrays in Complex-valued and Real-valued Arithmetic // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2018. Issue 4. P. 161-168. doi:10.31114/2078-7707-2018-4-161-168 |
| URL of paper |
| | http://www.mes-conference.ru/data/year2018/pdf/D120.pdf |
