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
Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems
Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems
Bilinear algorithms for discrete cosine transforms of prime lengths
Signal Processing - Signal processing in UWB communications
A progressive to lossless embedded audio coder (PLEAC) with reversible modulated lapped transform
ICME '03 Proceedings of the 2003 International Conference on Multimedia and Expo - Volume 3 (ICME '03) - Volume 03
Lossless and Near-Lossless Audio Compression Using Integer-Reversible Modulated Lapped Transforms
DCC '07 Proceedings of the 2007 Data Compression Conference
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
A fast algorithm for the computation of 2-D forward and inverse MDCT
Signal Processing
An MDCT Hardware Accelerator for MP3 Audio
SASP '08 Proceedings of the 2008 Symposium on Application Specific Processors
Mixed-radix algorithm for the computation of forward and inverse MDCTs
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Fast IMDCT and MDCT algorithms - a matrix approach
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Worst-case error analysis of lifting-based fast DCT-algorithms
IEEE Transactions on Signal Processing - Part II
A Novel DCT-Based Algorithm for Computing the Modulated Complex Lapped Transform
IEEE Transactions on Signal Processing
Integer MDCT with enhanced approximation of the DCT-IV
IEEE Transactions on Signal Processing
Modulo transforms - an alternative to lifting
IEEE Transactions on Signal Processing
Computation of forward and inverse MDCT using Clenshaw's recurrence formula
IEEE Transactions on Signal Processing
On Integer MDCT for Perceptual Audio Coding
IEEE Transactions on Audio, Speech, and Language Processing
Lossless Audio Coding Using the IntMDCT and Rounding Error Shaping
IEEE Transactions on Audio, Speech, and Language Processing
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New universal rotation-based fast computational structures identical both for the discrete cosine/sine transform of type IV (DCT-IV/DST-IV) and the forward/backward modified discrete cosine/sine transform (MDCT/MDST) computation are described. They are the result of a systematic construction of a fast algorithm for an efficient implementation of the time domain aliasing cancellation (TDAC) analysis/synthesis MDCT/MDST filter banks employed in various audio compression schemes. New fast algorithms provide novelty computational structures based exclusively on the computation of Givens-Jacobi rotations, and thus, the need of any discrete sinusoidal unitary transform such as the discrete Fourier transform (DFT), DCT-IV/DST-IV or discrete cosine/sine transforms of type II (DCT-II/DST-II) of reduced size is completely eliminated, so simplifying the computational structure of the algorithms. The rotators and summators are used only as the basic computational modules (in a hardware implementation they are simple hardware blocks). The simple and regular Givens-Jacobi rotation-based fast computational structures valid for any N divisible by 4 (N being the length of data sequence) define new sparse matrix factorizations of the DCT-IV and MDCT matrices and in particular, generate an efficient implementation of the MDCT in MP3 audio coding standard. For a given N=2^n they can be easily reconfigurable for a specific audio coding scheme. Finally, since Givens-Jacobi rotation can be factored into a product of Gauss elementary matrices being unit lower and unit upper triangular matrices, the new fast rotation-based computational structures are suitable for an integer approximation of the DCT-IV/DST-IV (integer DCT-IV/DST-IV) and MDCT/MDST (integer MDCT/MDST) which are currently modern transform technologies for lossless audio coding.