Computing running discrete cosine/sine transforms based on the adaptive LMS algorithm

Least mean square (LMS)-based computation of block-based discrete orthogonal transforms has been extensively studied in literature. This paper establishes the relationship between the running discrete cosine transform II (DCT-II), discrete sine transform II (DST-II), and the adaptive LMS algorithm. From this analysis a new parallel structure for computing the running DCT-II and DST-II is proposed.