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.
翻译:在信号样品方面,我们提议并论证一种新的降级多期变换,减缩为MTT, 在某些条件下,MTT可能比已知的最佳变换更具有关联性,其基本想法是构建比已知的最佳变换更多的最优化参数。通过将已知变换结构扩展为包括附加条件在内的形式,实现这一点:MTT有四个矩阵,以尽量减少费用。MTT结构也有特殊变换,以减少数字负荷。因此,MTT的性能因MTT组成部分的变换而得到改善。