Techniques and standards for image, video, and audio coding
Techniques and standards for image, video, and audio coding
Matrix computations (3rd ed.)
Signal Processing with Lapped Transforms
Signal Processing with Lapped Transforms
DFT/FFT and Convolution Algorithms: Theory and Implementation
DFT/FFT and Convolution Algorithms: Theory and Implementation
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
Lapped directional transform: a new transform for spectral image analysis
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 06
Fast IMDCT and MDCT algorithms - a matrix approach
IEEE Transactions on Signal Processing
Fast algorithm for computing discrete cosine transform
IEEE Transactions on Signal Processing
Computation of forward and inverse MDCT using Clenshaw's recurrence formula
IEEE Transactions on Signal Processing
A fast MPEG-audio layer III algorithm for a 32-bit MCU
IEEE Transactions on Consumer Electronics
A fast algorithm for the computation of 2-D forward and inverse MDCT
Signal Processing
Mixed-radix algorithm for the computation of forward and inverse MDCTs
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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New fast algorithms for the evenly stacked and oddly stacked modified discrete cosine transform (MDCT) and modified discrete sine transform (MDST) computation are proposed. Although the evenly and oddly stacked MDCT/ MDST are quite different filter banks based on time domain aliasing cancellation (TDAC), there exists an intimate relation between them, and consequently, the efficient computing of oddly stacked MDCT/MDST can be realized via the evenly stacked MDCT/MDST and vice versa only by simple pre-and post-processing of input and output data sequences. This fact allows to handle the evenly and oddly stacked MDCT/MDST in a unified framework. In particular, it is shown that the transposed evenly and oddly stacked MDCT and MDST matrices are actually the pseudoinverses of their corresponding forward transform matrices. The regular generalized signal flow graphs define interrelated sparse matrix factorizations of the evenly and oddly stacked MDCT/MDST matrices. The proposed new fast algorithms provide efficient implementations of the oddly stacked MDCT in layer III of MPEG (MP3) audio coding. Complete signal flow graphs for the efficient implementation of the MDCT in MP3 and comparison with existing efficient modified/corrected implementations are also presented.