Modified Discrete Cosine Transform: Its Implications for Audio Coding and Error Concealment

A study of the modified discrete cosine transform (MDCT) and its implications for audio coding and error concealment is presented from the perspective of Fourier frequency analysis. A relationship between MDCT and DFT via shifted discrete fourier transform (SDFT) is established, which provides a possible fast implementation of MDCT employing a fast Fourier transform (FFT) routine. The concept of time-domain alias cancellation (TDAC), the symmetric and nonorthogonal properties of MDCT, is analyzed and illustrated with intuitive examples. New insights are given for innovative solutions in audio codec design and MDCT-domain audio processing such as error concealment.

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

[2]  Louis Dunn Fielder,et al.  ISO/IEC MPEG-2 Advanced Audio Coding , 1997 .

[3]  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.

[4]  Henrique S. Malvar.  A modulated complex lapped transform and its applications to audio processing , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[5]  V. Hardman,et al.  A survey of packet loss recovery techniques for streaming audio , 1998, IEEE Network.

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

[7]  Joseph Rothweiler,et al.  Polyphase quadrature filters-A new subband coding technique , 1983, ICASSP.

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

[9]  E. Owens,et al.  An Introduction to the Psychology of Hearing , 1997 .

[10]  Y. Wang,et al.  Some peculiar properties of the MDCT , 2000, WCC 2000 - ICSP 2000. 2000 5th International Conference on Signal Processing Proceedings. 16th World Computer Congress 2000.

[11]  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.

[12]  Ye Wang,et al.  A drumbeat-pattern based error concealment method for music streaming applications , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

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