GENERATING MATRICES FOR THE DISCRETE SINE TRANSFORMS

In this correspondence, we obtain a general form for the generating ma trices of the eight types of discrete sine transforms. These matrix fo rms can be used to study the performance of the different discrete sin e transforms as substitutes of the Karhunen-Loeve transform and will a llow us Co show in a very sh straightforward way that the discrete sin e transforms, as the discrete cosine transforms, are asymptotically op timal for any finite order Markov process.