TY - JOUR AU - Liu, J. G. AU - Liu, Y. Z. AU - Wang, G. Y. PY - 2005 DA - 2005/07/28 TI - Fast DCT-I, DCT-III, and DCT-IV via Moments JO - EURASIP Journal on Advances in Signal Processing SP - 959583 VL - 2005 IS - 12 AB - This paper presents a novel approach to compute DCT-I, DCT-III, and DCT-IV. By using a modular mapping and truncating, DCTs are approximated by linear sums of discrete moments computed fast only through additions. This enables us to use computational techniques developed for computing moments to compute DCTs efficiently. We demonstrate this by applying our earlier systolic solution to this problem. The method can also be applied to multidimensional DCTs as well as their inverses. SN - 1687-6180 UR - https://doi.org/10.1155/ASP.2005.1902 DO - 10.1155/ASP.2005.1902 ID - Liu2005 ER -