Efficient implementation of discrete cosine transform using recursive filter structure

In this paper, we generalize a formulation for converting a length-2'' discrete cosine transform into n groups of equations, then apply a novel technique for its implementation. The sizes of the groups are2n-i 2n-2 , . . . 2' respectively, while their structures are extremely regular. The realization can then be converted into recursive filter form, which is of particularly simple for practical implementation.