  Two Bessel sequences are orthogonal if the composition of the synthesis
operator of one sequence with the analysis operator of the other sequence is
the 0 operator. We characterize when two Bessel sequences are orthogonal when
the Bessel sequences have the form of translates of a finite number of
functions in $\ltwod$. The characterizations are applied to Bessel sequences
which have an affine structure, and a quasi-affine structure. These also lead
to characterizations of superframes. Moreover, we characterize perfect
reconstruction, i.e. duality, of subspace frames for translation invariant
(bandlimited) subspaces of $\ltwod$.
