Evaluation of the computational efficiency of a low-cost method for calculating the two-dimensional spatial Bartlett spectrum

This paper examines a method for calculating a two-dimensional spatial spectrum as a combination of two one-dimensional ones. Expressions are derived that allow us to estimate the reduction in the number of addition and multiplication operations required to calculate the two-dimensional spatial spectrum depending on the number of antenna array elements. The reduction in the number of mathematical operations required to calculate the two-dimensional spatial spectrum when it is calculated as a combination of two one-dimensional ones is estimated. It is shown that, with a single target in the resolution element, the two-dimensional spatial spectrum calculated as a combination of two one-dimensional ones is identically equal to the two-dimensional spatial spectrum estimated using the classical method. It is established that, with multiple objects in the resolution element, the shape of the two-dimensional spatial spectrum estimated as a combination of two one-dimensional ones is distorted–it differs from the spectrum estimated using the classical method. Distortions in the shape of the two-dimensional spatial spectrum calculated as a combination of two one-dimensional ones lead to the appearance of false targets and masking of the true ones.