  In terms of signal samples, we propose and justify a new rank reduced
multi-term transform, abbreviated as MTT, which, under certain conditions, may
provide better-associated accuracy than that of known optimal rank reduced
transforms. The basic idea is to construct the transform with more parameters
to optimize than those in the known optimal transforms.
  This is realized by the extension of the known transform structures to the
form that includes additional terms - the MTT has four matrices to minimize the
cost. The MTT structure has also a special transformation that decreases the
numerical load. As a result, the MTT performance is improved by the variation
of the MTT components.
