Robust Linear Multiuser Receiver With Worst-Case Probability Guarantee

A novel robust linear receiver with worst-case probability guarantee is proposed in this correspondence. Based on multivariate Chebyshev inequality, deterministic expressions of the probabilistic constraints are derived, and then, an iterative second-order cone programming is developed to obtain the robust solutions. Compared to the existing receivers, our proposed receiver improves performance by allowing a small outage probability and a more general uncertainty model. Simulations illustrate the improvement of our proposed approach.