An extended analysis of discrete fourier tranform - rational dither modulation for non-white hosts

A deep analysis of discrete Fourier transform - rational dither modulation (DFT-RDM), developed to cope with linear time invariant filtering, is here presented. This study has been motivated by the significant increase of the error probability suffered by DFT-RDM for non-white hosts, in spite of the low bit-error rate achieved for white hosts under the same attack filter. The theoretical analysis of DFT-RDM has been generalized to non-white Gaussian hosts providing an explanation to the measured performance degradation. Afterwards an extension of DFT-RDM, named whitened DFT-RDM, is proposed to achieve the same bit-error rates for white and non-white Gaussian hosts. Experimental results are also presented that validate the developed analysis and illustrate the performance enhancement provided by the proposed extension of DFT-RDM, with both non-white Gaussian signals and real audio clips.