Integer MDCT with enhanced approximation of the DCT-IV

Author

Huang, Haibin ; Rahardja, Susanto ; Yu, Rongshan ; Lin, Xiao

Author_Institution

Inst. for Infocomm Res., Singapore, Singapore

Volume

54

Issue

3

fYear

2006

fDate

3/1/2006 12:00:00 AM

Firstpage

1156

Lastpage

1159

Abstract

Integer transform plays an important role in lossless signal compression. In order to achieve high accuracy to its corresponding theoretical transform, the rounding number should be as low as possible. At the same time, the matrix factorization for reversible integer mapping should be handled with care, especially when the processing block length is high (N>16). In this correspondence, a new method for realizing reversible integer discrete cosine transform type IV (DCT-IV) is proposed that is a key component used in audio compression. The proposed method exhibits low rounding number (2.5N) and low complexity O(Nlog₂N) as well as well as accurately represents its counterpart floating-point DCT-IV transformation.

Keywords

audio coding; data compression; discrete cosine transforms; matrix algebra; audio compression; block length processing; integer transforms; matrix factorization; modified discrete cosine transforms; reversible integer mapping; rounding number; signal compression; Approximation error; Audio coding; Audio compression; Discrete cosine transforms; Discrete transforms; Frequency; Image reconstruction; Prototypes; Sampling methods; Time domain analysis; Discrete cosine transform; fast transforms; integer transforms; modified discrete cosine transform;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2005.862942

Filename

1597577