Corpus ID: 34862609

A Note on the MDCT/MDST and Pseudoinverse Matrix

  title={A Note on the MDCT/MDST and Pseudoinverse Matrix},
  author={V. Britanak},
  journal={Comput. Artif. Intell.},
  • V. Britanak
  • Published 2004
  • Computer Science
  • Comput. Artif. Intell.
Abstract. The modified discrete cosine transform (MDCT) and modified discrete sine transform (MDST) both for the evenly and oddly stacked systems are perfect reconstruction cosine/sine–modulated filter banks based on time domain aliasing cancellation (TDAC) employed in the current international audio coding standards and commercial audio compression products. Based on the matrix representation of MDCTs and MDSTs it is shown that the transposed MDCT and MDST matrices are actually the… Expand
Fast computational structures for an efficient implementation of the complete 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. Expand
On Properties, Relations, and Simplified Implementation of Filter Banks in the Dolby Digital (Plus) AC-3 Audio Coding Standards
  • V. Britanak
  • Mathematics, Computer Science
  • IEEE Transactions on Audio, Speech, and Language Processing
  • 2011
It is shown that there exists a simple relation between the time domain aliased data sequence recovered by the backward long (MDCT) and those of two short transforms, which means that the current implementation of AC-3 filter banks for the time/frequency transformation of an audio data block can be simplified in the encoder and the forward long ( MDCT) transform computation is required only. Expand
New Recursive Fast Radix-2 Algorithm for the Modulated Complex Lapped Transform
  • V. Britanak
  • Mathematics, Computer Science
  • IEEE Transactions on Signal Processing
  • 2012
A new recursive fast radix-2 algorithm for an efficient computation of the modulated complex lapped transform (MCLT) is presented, supporting a wider range of transform sizes compared to existing fast MCLT algorithms. Expand


A new fast algorithm for the unified forward and inverse MDCT/MDST computation
The new fast algorithm can be adopted for the MDCT computation in the current audio coding standards such as MPEG family, and in commercial products such as Sony MiniDisc/ATRAC/ ATRAC2/SDDS digital audio coding systems, the AT & T Perceptual Audio Coder or Lucent Technologies PAC/Enhanced PAC/Multichannel PAC, and Dolby Labs AC-3 digital audio compression algorithm. Expand
A modulated complex lapped transform and its applications to audio processing
  • H. Malvar
  • Computer Science
  • 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)
  • 1999
This paper introduces a new structure for a modulated complex lapped transform (MCLT), which is a complex extension of the modulated lapping transform (MLT), whose real part corresponds to the MLT. Expand
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A new, oddly stacked, critically sampled, single side-band (SSB) [7] analysis/synthesis system based on Time Domain Aliasing Cancellation (TDAC) [1],[2] is described in this paper. The specificationsExpand
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The outline of this chapter is as follows. Section 2 reviews various types of existing finite impulse response (FIR) and infinite impulse response (IIR) two-channel filter banks. The basic operationsExpand
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A single-sideband analysis/synthesis system is proposed which provides perfect reconstruction of a signal from a set of critically sampled analysis signals and allows overlap between adjacent time windows, implying that time domain aliasing is introduced in the analysis; however, thisAliasing is cancelled in the synthesis process, and the system can provide perfect reconstruction. Expand
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Wavelet and short-time Fourier analysis is introduced in the context of frequency decompositions. Wavelet type frequency decompositions are associated with lter banks, and using this fact, lter bankExpand
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Applications of transforms in signal processing signal processing in subbands lapped orthogonal transforms the modulated lapped transform heirarchical lapped transforms applications of lappedExpand
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