Vector space approach for measurement of random errors in a linear array

A novel method for measuring the random errors in a linear array that is subjected to random variations in array weights and sensor positions is presented. The weight vector space has been examined to find the effects of the random errors on the array performance. It is shown that the optimum weight vector is not orthogonal to the steering vector in the interference direction due to the random variations. The extent of nonorthogonality is shown to be proportional to that of random errors. An iterative approach has been used to measure the amount of the random errors by estimating the extent of the nonorthogonality. Also, it is shown that the signal to interference ratio can be used to measure the random errors. Computer simulation results are presented