Vector permutation modulation

This article introduces a new class of codes for transmission over a Gaussian channel. The new scheme, named vector permutation modulation (VPM), is an extension of Slepian´s (scalar) permutation modulation (SPM) to the case where codeword components are L-dimensional vectors. A method is presented for maximum-likelihood detection in additive white Gaussian noise and fading channels. Since SPM is a special case of VPM, this method can also be used for SPM detection in fading channels. We solve the problem of finding the reference codeword, which maximizes code rate for a given average energy. It is shown that VPM performs significantly better than its scalar counterpart.