A unified fast computation of the evenly and oddly stacked MDCT/MDST

Author

Britanak, Vladimir

Author_Institution

Inst. of Informatics, Slovak Acad. of Sci., Bratislava, Slovakia

Volume

1

fYear

2003

fDate

2-5 July 2003

Firstpage

233

Abstract

A unified approach to the fast computation of evenly and oddly stacked modified discrete cosine transform (MDCT) and modified discrete sine transform (MDST) is presented. Although the evenly and oddly stacked MDCT/MDST are quite different filter banks, there exists an intimate relation between them, and consequently, the efficient oddly stacked MDCT/MDST computation can be realized via the evenly stacked MDCT/MDST and vice versa only by simple preprocessing and postprocessing of input and output data sequences. In particular, it is shown that the transposed evenly and oddly stacked MDCT and MDST matrices are actually the generalized inverses or pseudoinverses of their corresponding forward transform matrices.

Keywords

audio coding; channel bank filters; discrete cosine transforms; filtering theory; matrix inversion; data sequence postprocessing; data sequence preprocessing; evenly stacked modified discrete cosine transform fast computation; evenly stacked modified discrete sine transform; filter bank; generalized inverse forward transform matrices; input data sequence; modulated complex lapped transform; modulated lapped transform; oddly stacked modified discrete cosine transform; oddly stacked modified discrete sine transform; output data sequence; pseudoinverse forward transform matrices; transposed evenly stacked modified cosine transform matrices; transposed oddly stacked modified sine transform matrices; Audio coding; Audio compression; Discrete cosine transforms; Discrete transforms; Filter bank; Image processing; Image reconstruction; Informatics; Video compression; Videoconference;

fLanguage

English

Publisher

ieee

Conference_Titel

Video/Image Processing and Multimedia Communications, 2003. 4th EURASIP Conference focused on

Print_ISBN

953-184-054-7

Type

conf

DOI

10.1109/VIPMC.2003.1220467

Filename

1220467