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Inverse discrete cosine transform architecture exploiting sparseness and symmetry properties

Jooheung Lee, N. Vijaykrishnan, M.J. Irwin
2006 IEEE transactions on circuits and systems for video technology (Print)  
Especially, the algorithm, proposed by Chen et al. [3] , has been preferred for VLSI implementations with distributed arithmetic-based or multiplier and adder-based architectures.  ...  However, the main disadvantages of the row-column decomposition method are timing and area overheads caused by the serial-to-parallel & the parallelto-serial circuits and the transposition memory, as shown  ...  In this paper, a novel architecture for 2-D IDCT is proposed, based on the sparseness property of 2-D DCT coefficient matrix and the even and odd symmetry property of the basis vectors of the 1-D DCT transform  ... 
doi:10.1109/tcsvt.2006.873155 fatcat:exb3pcyvc5fcfdnlnongv7c3qa

Inverse discrete cosine transform architecture exploiting sparseness and symmetry properties

J. Lee, N. Vijaykrishnan, M.J. Irwin, R. Radhakrishnan
IEEE Workshop onSignal Processing Systems, 2004. SIPS 2004.  
Especially, the algorithm, proposed by Chen et al. [3] , has been preferred for VLSI implementations with distributed arithmetic-based or multiplier and adder-based architectures.  ...  However, the main disadvantages of the row-column decomposition method are timing and area overheads caused by the serial-to-parallel & the parallelto-serial circuits and the transposition memory, as shown  ...  In this paper, a novel architecture for 2-D IDCT is proposed, based on the sparseness property of 2-D DCT coefficient matrix and the even and odd symmetry property of the basis vectors of the 1-D DCT transform  ... 
doi:10.1109/sips.2004.1363077 fatcat:b7zv54v4a5aebf76aktk6kerom

Exploiting Correlation In Neural Signals For Data Compression

Hajo Hamer, Janpeter Hoeffmann, Benjamin Knoop, Gernot Kreiselmeyer, Steffen Paul, Dagmar Peters-Drolshagen, Sebastian Schmale
2014 Zenodo  
The discrete cosine transform (DCT) is an extraction of the discrete Fourier transform (DFT) due to mirror symmetry extensions and exploitation of signal symmetries based on cosine functions [15] .  ...  Discrete Cosine Transform: We applied two forms of a well-known basis, which has adequate compression properties considering neural signals [11] .  ... 
doi:10.5281/zenodo.43887 fatcat:5enaqkwjbra7da5jgqikaopkaa

A tutorial overview on the properties of the discrete cosine transform for encoded image and video processing

Nuno Roma, Leonel Sousa
2011 Signal Processing  
Discrete trigonometric transforms, such as the discrete cosine transform (DCT) and the discrete sine transform (DST), have been extensively used in signal processing for transform-based coding.  ...  However, even though most applications require little knowledge more than the actual DCT definition and its inverse, it is often widely regarded that the implementation of more complex operations on transformed  ...  type-II discrete cosine transform.  ... 
doi:10.1016/j.sigpro.2011.04.015 fatcat:rrr3c6sqvbak7cxktlydu72tlm

System-on-Chip Subband Decomposition Architectures for Ultrasonic Detection Applications

Erdal Oruklu, Joshua Weber, Jafar Saniie
2011 Journal of Signal Processing Systems  
Recursive implementations of discrete Fourier transform (DFT) and discrete cosine transform (DCT) are presented for subband decomposition which result in sparse transform operations and significantly reduced  ...  A comparative study and performance results present the advantages of the recursive hardware architecture compared to the conventional implementation of the SSP algorithm using IP cores for FFT.  ...  These structures employ a folding operation by exploiting the symmetry properties of the cosine terms. Furthermore, even and odd inputs can be processed separately with additional IIR filter blocks.  ... 
doi:10.1007/s11265-011-0623-9 fatcat:nwttgv44v5atfp5nc2235ov62i

2D Discrete Mirror Transform for Image Non-Linear Approximation

Alessandro Gnutti, Fabrizio Guerrini, Riccardo Leonardi
2021 2020 25th International Conference on Pattern Recognition (ICPR)  
with respect to the popular Discrete Cosine Transform (DCT) and Discrete Wavelet Transform (DWT) in terms of non-linear approximation.  ...  In this paper, a new 2D transform named Discrete Mirror Transform (DMT) is presented.  ...  To measure the ability of the discrete mirror transform to compact the energy to a small set of coefficients, it has been compared with other two popular transforms: the Discrete Cosine Transform (DCT)  ... 
doi:10.1109/icpr48806.2021.9412019 fatcat:a2zmjkns3zgg3ohhjc3u2oqbiu

Design and Implementation of Scalable and Reconfigurable Approximation of DCT

2017 International Journal of Science and Research (IJSR)  
The introduction of the Discrete Cosine Transform (DCT) has successfully overcome the existing algorithm issues in an effective manner and has replaced the traditional Fast Fourier Transform (FFT).  ...  The image and the video compression is a key operation in it and in past years various compression algorithms are proposed in the literature, but achieving the desired performance is still a challenging  ...  There are various measure transformation techniques used for data compression. Discrete Cosine Transform (DCT) are the foremost ordinarily used transformation.  ... 
doi:10.21275/art20164353 fatcat:53slbfwuvbdujmqqshilzie7qe

Trainable Spectrally Initializable Matrix Transformations in Convolutional Neural Networks [article]

Michele Alberti, Angela Botros, Narayan Schuez, Rolf Ingold, Marcus Liwicki, Mathias Seuret
2019 arXiv   pre-print
We study the transforms in various architectural configurations on four datasets of different nature: from medical (ColorectalHist, HAM10000) and natural (Flowers, ImageNet) images to historical documents  ...  The transformations are implemented as auto-differentiable PyTorch modules that can be incorporated into any neural network architecture. The entire code base is open-source.  ...  Transformation (DFT) and the Discrete Cosine Transformation (DCT).  ... 
arXiv:1911.05045v2 fatcat:hl5gpbcjirbara4uznudiuljm4

VLSI Design of Approximate Message Passing for Signal Restoration and Compressive Sensing

Patrick Maechler, Christoph Studer, David E. Bellasi, Arian Maleki, Andreas Burg, Norbert Felber, Hubert Kaeslin, Richard G. Baraniuk
2012 IEEE Journal on Emerging and Selected Topics in Circuits and Systems  
Index Terms-Approximate message passing (AMP), compressive sensing, fast discrete cosine transform, field-programmable gate array (FPGA), 1-norm minimization, signal restoration, sparse signal recovery  ...  The second architecture, referred to as AMP-T, takes advantage of fast linear transforms, which arise in many real-world applications.  ...  Instead, we exploit the regular structure of the DCT matrix and make use of symmetries to generate the M ×2M matrix D at high throughput by using a small cosine LUT having only M entries.  ... 
doi:10.1109/jetcas.2012.2214636 fatcat:h7a777mn2vdctnzxp4xejvu6za

Efficient fixed-point approximations of the 8x8 inverse discrete cosine transform

Yuriy A. Reznik, Arianne T. Hinds, Cixun Zhang, Lu Yu, Zhibo Ni, Andrew G. Tescher
2007 Applications of Digital Image Processing XXX  
This paper describes fixed-point design methodologies and several resulting implementations of the Inverse Discrete Cosine Transform (IDCT) contributed by the authors to MPEG's work on defining the new  ...  The authors also wish to thank Joan Mitchell and Gary Sullivan for their helpful comments on the manuscript of this paper.  ...  ACKNOWLEDGEMENTS The authors wish to thank Honggang Qi, Wen Gao, Debin Zhao, Siwei Ma, and other participants in the MPEG IDCT project for their contributions influencing the design of the ISO/IEC 23002  ... 
doi:10.1117/12.740228 fatcat:xvc3yd3fnrdgrj32hrnljcvaem

Unified transform architecture for AVC, AVS, VC-1 and HEVC high-performance codecs

Tiago Dias, Nuno Roma, Leonel Sousa
2014 EURASIP Journal on Advances in Signal Processing  
A unified architecture for fast and efficient computation of the set of two-dimensional (2-D) transforms adopted by the most recent state-of-the-art digital video standards is presented in this paper.  ...  by the proposed unified architecture for the implementation of transform cores for the Advanced Video Coding (AVC), Audio Video coding Standard (AVS), VC-1 and High Efficiency Video Coding (HEVC) standards  ...  Consequently, they can also be used to generate the remaining (N − 1) × (N − 1) values of the transform kernel, provided that the symmetry and periodicity trigonometric properties of the cosine function  ... 
doi:10.1186/1687-6180-2014-108 fatcat:gcfbawj3jbegrn5fppg37gy2jy

Compressive Sensing Based Robust Signal Sampling

Lianlin Li, Fang Li
2012 Applied Physics Research  
Recently, compressive sensing (CS) has made a paradigmatic step in the way information is presented, stored, transmitted and recovered, by which we can acquire and reconstruct sparse signals from sub-Nyquist  ...  In this paper, we focused on two aspects about the robust sampling of sparsible/compressible signal, in particular, the design of compressed sampling hardware and the robust reconstruction via sparse Bayesian  ...  , the discrete cosine transform (DCT), and so on, i.e.,  x Ψθ , the equation (2.2) can be rewritten as   y AΨθ n , 1 , M   n y , M N   A , 1 N   θ (6) For the purpose of the super-resolution reconstruction  ... 
doi:10.5539/apr.v4n1p30 fatcat:qlhqel7h4zcbndixmmficid2uq

Simulating and Predicting Dynamical Systems With Spatial Semantic Pointers

Aaron R. Voelker, Peter Blouw, Xuan Choo, Nicole Sandra-Yaffa Dumont, Terrence C. Stewart, Chris Eliasmith
2021 Neural Computation  
To fill these gaps, this work exploits a method for defining vector representations that bind discrete (symbol-like) entities to points in continuous topological spaces in order to simulate and predict  ...  and (2) be integrated with deep neural networks to predict the future of physical trajectories.  ...  Much like word2vec embeddings, SSPs of variables with a high distance in Euclidean space will have a low cosine similarity, and so a sparse code can be obtained from them.  ... 
doi:10.1162/neco_a_01410 pmid:34310679 fatcat:ebiydkydyvh2hbiboeiyxgev6m

LADMM-Net: An Unrolled Deep Network For Spectral Image Fusion From Compressive Data [article]

Juan Marcos Ramírez, José Ignacio Martínez Torre, Henry Arguello Fuentes
2021 arXiv   pre-print
Nevertheless, these methods exhibit high running times and face the drawback of choosing a representation transform.  ...  In this work, a deep learning architecture under the algorithm unrolling approach is proposed for solving the fusion problem from HS and MS compressive measurements.  ...  In general, combinations of orthogonal transforms such as the discrete cosine transform (DCT) or the orthogonal discrete wavelet transform (DWT) lead to degraded reconstructions.  ... 
arXiv:2103.00940v1 fatcat:wpzoa5jvkfcbhlspd273kxy2qu

Wave atoms and sparsity of oscillatory patterns

Laurent Demanet, Lexing Ying
2007 Applied and Computational Harmonic Analysis  
We also propose variants of the basic transform for applications in image processing, including an orthonormal basis, and a shift-invariant tight frame with redundancy four.  ...  Sparsity and denoising experiments on both seismic and fingerprint images demonstrate the potential of the tool introduced.  ...  We would like to thank Emmanuel Candès for valuable discussions, advice and generous support. L. D. is supported by a NSF grant CCF-0515362. L. Y. is supported by  ... 
doi:10.1016/j.acha.2007.03.003 fatcat:qk34glv3ujgkdo342tpy7hhaga
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