An extensive comparison of the recently developed discrete orthogonal Gauss-Hermite transform (DOGHT) to the discrete cosine transform (DCT) used in many multimedia compression standards is presented in view of applications in the biomedical signal compression domain. The DOGHT is using a basis of orthonormal Gauss-Hermite functions in place of the cosine functions basis used by the DCT and it is shown to perform considerably better than the DCT in several cases, presenting similar reconstruction error for the double compression ratio. This study is limited in the comparison of very simple signals for the sake of clarity. The DOGHT combines some of the advantages of wavelet expansions with the simple analytic form and desirable mathematical properties of the DCT.
|Number of pages
|WSEAS Transactions on Information Science and Applications
|Published - Nov 2006