We study Friedlander's array interpolation technique, whose main shortcoming in multisource scenarios is that it does not provide sufficient robustness against sources arriving outside specified interpolation sectors. In this letter, we develop a new robust interpolation approach by minimizing the interpolation error inside the sectors of interest while setting multiple "stopband" constraints outside these sectors to prevent performance degradation effects caused by out-of-sector sources. Computationally efficient convex formulations of the robust interpolation matrix design problem using second-order cone programming are derived.
Bibliographical noteFunding Information:
Manuscript received July 11, 2001; revised December 20, 2001. This work was supported in part by the Natural Sciences and Engineering Research Council (NSERC) of Canada, Communications and Information Technology Ontario (CITO), and Ministry of Energy, Science, and Technology of Ontario. The associate editor coordinating the review of the manuscript and approving it for publication was Dr. A. Swami.
- Array interpolation
- Direction finding
- Second-order cone programming