New approach of fast ICT and MICT algorithms development

New approach of fast ICT (Integer Cosine Transform) and MICT (Modified ICT) algorithms development is described in the paper. Both-ICT and MICT-transforms are the integer approximations of DCT. As the properties of ICT and MICT are close to those of DCT and their transform kernel is based on integers their computational complexity is less than in the case of DCT. Based on this DCT can be replaced by ICT and MICT, for example in transform coding of images (JPEG, MPEG, ITU-T H.261, etc.).