Adaptive transform coding incorporating time domain aliasing cancellation
Speech Communication
Techniques and standards for image, video, and audio coding
Techniques and standards for image, video, and audio coding
Signal Processing with Lapped Transforms
Signal Processing with Lapped Transforms
Introduction to Digital Audio Coding and Standards
Introduction to Digital Audio Coding and Standards
New Recursive Algorithms for the Unified Forward and Inverse MDCT/MDST
Journal of VLSI Signal Processing Systems
Short communication: the fast DCT-IV/DST-IV computation via the MDCT
Signal Processing - Special section: Hans Wilhelm Schüßler celebrates his 75th birthday
A modulated complex lapped transform and its applications to audio processing
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 03
Design optimization of main-profile MPEG-2 AAC decoder
ICASSP '01 Proceedings of the Acoustics, Speech, and Signal Processing, 200. on IEEE International Conference - Volume 02
Fast IMDCT and MDCT algorithms - a matrix approach
IEEE Transactions on Signal Processing
Computation of forward and inverse MDCT using Clenshaw's recurrence formula
IEEE Transactions on Signal Processing
Embedded software optimization for MP3 decoder implemented on RISC core
IEEE Transactions on Consumer Electronics
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A new fast computational structure identical both for the forward and backward modified discrete cosine/sine transform (MDCT/MDST) computation is described. It is the result of a systematic construction of a fast algorithm for an efficient implementation of the complete time domain aliasing cancellation (TDAC) analysis/synthesis MDCT/MDST filter banks. It is shown that the same computational structure can be used both for the encoder and the decoder, thus significantly reducing design time and resources. The corresponding generalized signal flow graph is regular and defines new sparse matrix factorizations of the discrete cosine transform of type IV (DCT-IV) and MDCT/MDST matrices. The identical fast MDCT computational structure provides an efficient implementation of the MDCT in MPEG layer III (MP3) audio coding and the Dolby Labs AC-3 codec. All steps to derive the computational structure are described in detail, and to put them into perspective a comprehensive list of references classified into categories is provided covering new research results achieved in the time period 1999-2008 in theoretical and practical developments of TDAC analysis/synthesis MDCT/MDST filter banks (general mathematical, symmetry and special properties, fast MDCT/MDST algorithms and efficient software/hardware implementations of the MDCT in MP3).