Title :
Robust array interpolation using second-order cone programming
Author :
Pesavento, Marius ; Gershman, Alex B. ; Luo, Zhi-Quan
Abstract :
We study Friedlander\´s (1993) 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.
Keywords :
array signal processing; direction-of-arrival estimation; error analysis; interpolation; matrix algebra; minimisation; convex formulations; interpolation error; minimizing; multiple stopband constraints; out-of-sector sources; performance degradation effects; robust array interpolation; robust interpolation matrix design problem; second-order cone programming; Array signal processing; Computer errors; Councils; Degradation; Geometry; Information technology; Interpolation; Least squares approximation; Power engineering and energy; Robustness;
Journal_Title :
Signal Processing Letters, IEEE