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Abstract
The robust adaptive beamforming (RAB) problem for generalrank signal model with an uncertainty set defined through a matrix induced norm is considered. The worstcase signaltointerferenceplusnoise ratio (SINR) maximization RAB problem is formulated. First, the closedform optimal value for a minimization problem of the leastsquares residual over the matrix errors with an induced l_{p,q}norm constraint is derived. Then, the maximization problem is reformulated into the maximization of the difference between an l_{2}norm function and an l_{q}norm function, with a convex quadratic constraint. It is shown that for any q≥1 in the set of rational numbers, the maximization problem can be approximated by a sequence of secondorder cone programming problems, with the ascent optimal values. The resultant beamvector for some q in the set with the maximal actual array output SINR, is treated as the candidate making the RAB design improved the most. In addition, a generalized RAB problem of maximizing the difference between an l_{p}norm function and an l_{q}norm function with the convex quadratic constraint is studied, and the actual array output SINR is further enhanced by properly selecting p and q. Simulation examples are presented to demonstrate the improved performance of the robust beamformers for certain matrix induced l_{p,q}norms.
Original language  English 

Article number  108439 
Number of pages  9 
Journal  Signal Processing 
Volume  194 
DOIs  
Publication status  Published  May 2022 
MoE publication type  A1 Journal articlerefereed 
Keywords
 Generalrank signal model
 Improved array output performance
 Matrix induced norms
 Robust adaptive beamforming
 Worstcase SINR maximization
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 2 Finished

MASSIVE AND SPARSE ANTENNA ARRAY PROCESSING FOR MILLIMETERWAVE COMMUNICATIONS
Vorobyov, S., Esfandiari, M., Kocharlakota, K., Ghorbani Veshki, F., Dosti, E., Neinavaie, M. & Wang, X.
01/01/2019 → 31/12/2021
Project: Academy of Finland: Other research funding

MASSIVE AND SPARSE ANTENNA ARRAY PROCESSING FOR MILLIMETERWAVE COMMUNICATIONS
Koivunen, V., Nitzan, E., Mozafari Majd, M. & Rajamäki, R.
01/01/2019 → 31/12/2021
Project: Academy of Finland: Other research funding