Method for estimating a weighting vector for an adaptive phased array antenna system
The present invention discloses a low-complexity estimation method for obtaining a weighting vector for an antenna system with adaptive phased arrays. A first matrix is generated from a plurality of statistically independent symbols of the receiving signals. The plurality of statistically independent symbols is received from two or more antennas over some period of time without a prior knowledge of the properties of the symbols. A second matrix, which is the covariance matrix of the first matrix, is calculated. Subsequently, a column or row is selected from the second matrix to be the weighting vector for two or more antennas in an adaptive phased array antenna system.
1. A method comprising:
obtaining a plurality of symbols contained in signals received by two or more antennas of an antenna system with adaptive phased array antennas without any prior knowledge of the properties of the plurality of symbols;
generating a first matrix from the received the plurality of symbols contained in the signals received by the two or more antennas;
generating a second matrix by computing a covariance of the first matrix; and
determining a weighting vector for the two or more antennas by selecting one of the rows or columns of the second matrix.
2. The method of claim 1 , wherein the plurality of symbols is a set of statistically independent symbols over a predetermined period of time.
3. The method of claim 2 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in multiple channels.
4. The method of claim 2 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in two or more time slots.
5. The method of claim 2 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in two or more codes in a code division multiple access system.
6. The method of claim 1 , wherein generating the first matrix comprises turning two or more symbols received by each of the two or more antennas during a predetermined time into corresponding elements of each column of the first matrix.
7. The method of claim 1 , wherein generating the first matrix comprises turning two or more symbols received by each of the two or more antennas during a predetermined time into corresponding elements of each row of the first matrix.
8. The method of claim 1 , wherein determining the weighting vector comprises selecting one of the columns or rows of the second matrix having a maximum norm.
9. The method of claim 1 , wherein determining the weighting vector comprises selecting one of the columns or rows of the second matrix having a highest average signal-to-noise ratio.
10. The method of claim 1 , wherein determining the weighting vector comprises selecting one of the columns or rows of the second matrix in a predetermined round robin fashion.
11. A method comprising:
obtaining a plurality of symbols contained in signals received by two or more antennas of an antenna system with adaptive phased array antennas without any prior knowledge of the properties of the plurality of symbols, wherein the plurality of symbols is a set of statistically independent symbols over a predetermined period of time;
generating a first matrix by turning two or more symbols received by each of the two or more antennas during a predetermined time into corresponding elements of each column of the first matrix;
generating a second matrix by computing a covariance of the first matrix; and
determining a weighting vector for the two or more antennas by selecting one of the rows or columns of the second matrix.
12. The method of claim 11 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in multiple channels.
13. The method of claim 11 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in two or more time slots.
14. The method of claim 11 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in two or more codes in a code division multiple access system.
15. The method of claim 11 , wherein determining the weighting vector comprises selecting one of the columns of the second matrix having a maximum norm.
16. The method of claim 11 , wherein determining the weighting vector comprises selecting one of the columns of the second matrix having a highest average signal-to-noise ratio.
17. The method of claim 11 , wherein determining the weighting vector comprises selecting one of the columns of the second matrix in a predetermined round robin fashion.
18. A method comprising:
obtaining a plurality of symbols contained in signals received by two or more antennas of an antenna system with adaptive phased array antennas without any prior knowledge of the properties of the plurality of symbols, wherein the plurality of symbols is a set of statistically independent symbols over a predetermined period of time;
generating a first matrix by turning two or more symbols received by each of the two or more antennas during a predetermined time into corresponding elements of each row of the first matrix;
generating a second matrix by computing a covariance of the first matrix; and
determining a weighting vector for the two or more antennas by selecting one of the rows or columns of the second matrix.
19. The method of claim 18 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in multiple channels.
20. The method of claim 18 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in two or more time slots.
21. The method of claim 18 , wherein obtaining comprises obtaining the set of statistically independent symbols from signals received in two or more codes in a code division multiple access system.
22. The method of claim 18 , wherein determining the weighting vector comprises selecting one of the rows of the second matrix having a maximum norm.
23. The method of claim 18 , wherein determining the weighting vector comprises selecting one of the rows of the second matrix having a highest average signal-to-noise ratio.
24. The method of claim 18 , wherein determining the weighting vector comprises selecting one of the rows of the second matrix in a predetermined round robin fashion.
25. The method of claim 1 , wherein generating the second matrix comprises transposing rows and columns of the first matrix.
26. The method of claim 11 , wherein generating the second matrix comprises transposing rows and columns of the first matrix.
27. The method of claim 18 , wherein generating the second matrix comprises transposing rows and columns of the first matrix.