A new fast algorithm for the unified forward and inverse MDCT/MDST computation

Britaňák, Vladimír; Rao, K. R.

doi:10.1016/s0165-1684(01)00195-5

Cited by 57 publications

(30 citation statements)

References 39 publications

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“…We choose here the even-indexed coefficients, and (2a) becomes (9) where . The above derivation is similar to one result reported in [12] where the authors have established a relationship between the MDCT and GDHT-IV. For the windowing function defined by (3), applying the trigonometric property (10) it can be easily verified that (15) Substituting (11) and (12) into (5a) and (5b), and using (13)- (15), we obtain (16a) (16b) for .…”

Section: Definition and New Fast Algorithmsupporting

confidence: 89%

New Fast Algorithm for Modulated Complex Lapped Transform With Sine Windowing Function

Senhadji

et al. 2009

IEEE Signal Process. Lett.

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Abstract-A novel algorithm for fast computation of the modulated complex lapped transform (MCLT) with sine windowing function is presented. For the MCLT of length-2 input data sequence, the proposed algorithm is based on computing a length-2 type-II generalized discrete Hartley transform. Comparison with existing algorithms shows that the proposed method achieves the minimal number of arithmetic operations.

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Section: Definition and New Fast Algorithmsupporting

confidence: 89%

New Fast Algorithm for Modulated Complex Lapped Transform With Sine Windowing Function

Senhadji

et al. 2009

IEEE Signal Process. Lett.

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“…2 and 3. A number of MDCT/IMDCT fast algorithms have been proposed in the literature for TDAC [13]- [15]. In the following, we propose a novel fast algorithm for LD-TDAC implementation by merging the windowing operation with DCT implementation.…”

Section: Mdct-based Fast Algorithms Formentioning

confidence: 99%

Fast Algorithms for Low-Delay TDAC Filterbanks in MPEG-4 AAC-ELD

Chivukula

Reznik

et al. 2014

IEEE/ACM Trans. Audio Speech Lang. Process.

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Abstract-The MPEG committee has completed development of a new audio coding standard called "MPEG-4 advanced audio coding-enhanced low delay" (AAC-ELD). AAC-ELD uses low delay spectral band replication (LD-SBR) technology together with a low delay time domain alias cancellation (LD TDAC) filterbank in the encoder to achieve both high coding efficiency and low algorithmic delay. In this paper, we present fast algorithms for implementing LD-TDAC filterbanks in AAC-ELD. Two types of fast algorithms are presented. In the first, we map LD-TDAC analysis and synthesis filterbanks to modified discrete cosine transform (MDCT) and inverse modified discrete cosine transform (IMDCT), respectively. Since MDCT/IMDCT are already extensively used in AAC and they have many fast algorithms, this mapping not only provides a fast implementation but also allows a common implementation of the filterbanks in AAC Low Complexity (AAC-LC), AAC Low Delay (AAC-LD) and AAC-ELD codecs. In the second algorithm, we provide a mapping to discrete Cosine transform of type II. The mapping to DCT-II allows the merger of the matrix operations with the windowing stage that precedes or follows them. This further reduces the number of multiplications and leads to an algorithm with the lowest known arithmetic complexity. For filterbanks of lengths 1024 and 960, we also present a new fast factorization of 15-point DCT-II that requires only 14 irrational multiplications, 3 dyadic rational multiplications and 67 additions.

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“…This overlapping, in addition to the energy-compaction qualities of the DCT, makes the MDCT especially attractive for signal compression applications. Thus, it helps to avoid artifacts stemming from the block boundaries (Britanak & Rao, 2002;Nikolajevic & Fettweis, 2003). MDCT is critically sampled, which means that though it is 50% overlapped, a sequence data after MDCT has the same number of coefficients as samples before the transform (after overlap-and-add).…”

Section: Ecg Signal Compression Based On Combined Mdct and Dwtmentioning

confidence: 99%

ECG Signal Compression Using Discrete Wavelet Transform

Abo‐Zahhad¹

2011

Discrete Wavelet Transforms - Theory and Applications

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A new fast algorithm for the unified forward and inverse MDCT/MDST computation

Cited by 57 publications

References 39 publications

New Fast Algorithm for Modulated Complex Lapped Transform With Sine Windowing Function

New Fast Algorithm for Modulated Complex Lapped Transform With Sine Windowing Function

Fast Algorithms for Low-Delay TDAC Filterbanks in MPEG-4 AAC-ELD

ECG Signal Compression Using Discrete Wavelet Transform

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