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Reversible implementation of a discrete integer linear transformation

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Abstract
Discrete linear transformations form important steps in processing information. Many such transformations are injective and therefore are prime candidates for a physically reversible implementation into hardware. We present here the first steps towards a reversible digital implementation of two different integer transformations on four inputs: The Haar wavelet and the H.264 transform.
Keywords
Reversible computation, reversible circuit, COMPUTER, DECOMPOSITION, WAVELET TRANSFORMS, integer transform, H.264 transform, wavelet, lifting scheme, matrix decomposition

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Citation

Please use this url to cite or link to this publication:

Chicago
De Vos, Alexis, Stéphane Burignat, and Michael Kirkedal Thomsen. 2012. “Reversible Implementation of a Discrete Integer Linear Transformation.” Journal of Multiple-valued Logic and Soft Computing 18 (1): 25–35.
APA
De Vos, Alexis, Burignat, S., & Thomsen, M. K. (2012). Reversible implementation of a discrete integer linear transformation. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 18(1), 25–35.
Vancouver
1.
De Vos A, Burignat S, Thomsen MK. Reversible implementation of a discrete integer linear transformation. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING. 2012;18(1):25–35.
MLA
De Vos, Alexis, Stéphane Burignat, and Michael Kirkedal Thomsen. “Reversible Implementation of a Discrete Integer Linear Transformation.” JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING 18.1 (2012): 25–35. Print.
@article{1037848,
  abstract     = {Discrete linear transformations form important steps in processing  information. Many such transformations are injective and therefore are  prime candidates for a physically reversible implementation into  hardware. We present here the first steps towards a reversible digital implementation of two different integer transformations on four inputs: The Haar wavelet and the H.264 transform.},
  author       = {De Vos, Alexis and Burignat, St{\'e}phane and Thomsen, Michael Kirkedal},
  issn         = {1542-3980},
  journal      = {JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING},
  keyword      = {Reversible computation,reversible circuit,COMPUTER,DECOMPOSITION,WAVELET TRANSFORMS,integer transform,H.264 transform,wavelet,lifting scheme,matrix decomposition},
  language     = {eng},
  number       = {1},
  pages        = {25--35},
  title        = {Reversible implementation of a discrete integer linear transformation},
  volume       = {18},
  year         = {2012},
}

Web of Science
Times cited: