The Welch Bound is a lower bound on the root mean square cross correlation between n unit-norm vectors f1, ..., fn in the m dimensional space (Rm or Cm), for n ≥ m. Letting F = [f1|...|fn] denote the m-by-n frame matrix, the Welch bound can be viewed as a lower bound on the second moment of F , namely on the trace of the squared Gram matrix (F ′F ). We consider an erasure setting, in which a re...