Mapping of discrete cosine transform (DCT) and discrete sine transform (DST) based on symmetries

This paper discusses the generalized recursive structure for one-dimensional discrete cosine transform and discrete sine transform. This result in quicker computation of the discrete cosine and sine transform coefficients. The paper also looks at the relations among the family of discrete cosine and sine transforms and presents the mapping relationships for various discrete cosine and sine transforms. The results suggest that they can be utilized in various applications like data compression and VLSI implementations that utilize the quick discrete cosine transform and the quick discrete sine transform.