A statistics study of the MDCT coefficient distribution for audio

Rongshan Yu, Xiao Lin, S. Rahardja, C.C. Ko
2004 IEEE International Conference on Multimedia and Expo (ICME) (IEEE Cat. No.04TH8763)  
The Modified Discrete Cosine Transform (MDCT) has been widely used in many transform audio coding algorithms such as MPEG-1/2 Layer III (mp3), MPEG-2/4 AAC, Dolby AC2/AC3, and numerous experimental audio coding algorithms. In this paper, we study the probabilistic distribution properties of the MDCT coefficient for audio signals. It is shown that the generalized Gaussian function with distribution parameter r=0.5 or r=1 (Laplacian) provides a good approximation to the distributions of MDCT
more » ... icients for a variety of audio signals. Results from our study also show that although the distribution of these coefficients is not strictly Laplacian, the divergence between them is in fact very small. Therefore it will lead to only marginal redundancy if these coefficients are simply coded with some low-complexity codes designed for Laplacian sources.
doi:10.1109/icme.2004.1394517 fatcat:3kiyqhdm4vd4xokjrzjpcdj75y