Integer to integer Karhunen Loeve transform over finite fields [communication system applications]

In communications system design, it is frequently assumed that source symbols are equiprobable. However, in real life applications, this is not the case since most sources produce Gaussian samples. In this paper, we introduce a Karhunen Loeve transform (KLT) based integer to integer transform, I/sub 2/I KLT, over GF(q) that forces the symbols to uniform distribution. This transform can be used as an interface between sources with different distributions and communication systems designed according to uniform distributions.