  We investigate a celebrated problem of one dimensional tight binding model in
the presence of disorder leading to Anderson localization from a novel
perspective. A binary disorder is assumed to be created by immobile heavy
particles for the motion of the lighter, mobile species in the limit of no
interaction between mobile particles. Fast periodic modulations of interspecies
interactions allow us to produce an effective model with small diagonal and
large off-diagonal disorder unexplored in cold atoms experiments. We present an
expression for an approximate Anderson localization length and verify the
existence of the well known extended resonant mode and analyze the influence of
nonzero next-nearest neighbor hopping terms. We point out that periodic
modulation of interaction allow disorder to work as a tunable band-pass filter
for momenta.
