Improved integer transforms for lossless audio coding

Lifting scheme based integer transforms are very powerful tools to construct lossless coding schemes. These transforms such as the integer fast fourier transform (IntFFT) and the integer modified discrete cosine transform (IntMDCT) are integer approximations of the original floatingpoint transforms, and hence there is an approximation error in the transform domain. This paper will propose structures for improved integer transforms in terms of improved approximation accuracy and computational efficiency. Experimental results will show that clear improvements in these two points are achieved in lossless audio coding.

[1]  Ralf Geiger,et al.  Audio Coding based on Integer Transforms , 2001 .

[2]  I. Daubechies,et al.  Factoring wavelet transforms into lifting steps , 1998 .

[3]  Trac D. Tran,et al.  Fast multiplierless approximations of the DCT with the lifting scheme , 2001, IEEE Trans. Signal Process..

[4]  Gerald Schuller,et al.  Scalable Perceptual and Lossless Audio Coding Based on MPEG-4 AAC , 2003 .

[5]  Truong Q. Nguyen,et al.  Integer fast Fourier transform , 2002, IEEE Trans. Signal Process..

[6]  Awaji Island,et al.  LOSSLESS AUDIO COMPRESSION USING INTEGER MODIFIED DISCRETE COSINE TRANSFORM , 2003 .

[7]  Soontorn Oraintara,et al.  Fast and lossless implementation of the forward and inverse MDCT computation in MPEG audio coding , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[8]  R. Geiger,et al.  Integer low delay and MDCT filter banks , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[9]  Henrique S. Malvar,et al.  Signal processing with lapped transforms , 1992 .

[10]  Jürgen Herre,et al.  IntMDCT - A link between perceptual and lossless audio coding , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.