Some peculiar properties of the MDCT

Having established the interconnection between MDCT, SDFT (shifted discrete Fourier transform) and DFT, we have successfully applied the results in audio encoder design. This paper presents some new observations and analyses: (1) MDCT is not an orthogonal transform and this has an impact on audio coding, and (2) analysis of time domain alias cancellation (TDAC) during the window switching in the case of MPEG-2 AAC. Finally, we report some experimental results on the energy compaction properties of MDCT.

[1]  Miikka Vilermo,et al.  Restructured Audio Encoder for Improved Computational Efficiency , 2000 .

[2]  L. Yaroslavsky,et al.  On the relationship between MDCT, SDPT and DFT , 2000, WCC 2000 - ICSP 2000. 2000 5th International Conference on Signal Processing Proceedings. 16th World Computer Congress 2000.

[3]  Bernd Edler Codierung von Audiosignalen mit überlappender Transformation und adaptiven Fensterfunktionen , 1989 .

[4]  John Princen,et al.  Subband/Transform coding using filter bank designs based on time domain aliasing cancellation , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  Murray Eden,et al.  Fundamentals of Digital Optics , 1996 .

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

[7]  John Princen,et al.  Analysis/Synthesis filter bank design based on time domain aliasing cancellation , 1986, IEEE Trans. Acoust. Speech Signal Process..