SIAM Review
| Hi-index | 0.00 |
In paper two types of the discrete cosine (and sine) transforms (DCT/DST) are analyzed. These transforms are useful for many applications. It is shown that if an operator, connected with the Discrete Fourier Transform (DFT), is referred to an appropriate basis it takes block-diagonal form. These blocks coincide with DCT-2/DST-2 for even dimensions of the signals' space and with DCT-6/DST-6 for odd ones. These results complete investigating the full structure of the DCT/DST. The other transforms DCT-3/DST-3 and DCT-7/DST-7 have simple connection with these one -- they are transposed to them.