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Design and Analysis of Binary Scalar Quantizer of Laplacian Source with Applications

Zoran Peric, Bojan Denic, Milan Savic, Vladimir Despotovic
2020 Information  
A compression method based on non-uniform binary scalar quantization, designed for the memoryless Laplacian source with zero-mean and unit variance, is analyzed in this paper.  ...  The observed binary scalar quantization models are applied in standard signal processing tasks, such as speech and image quantization, but also to quantization of neural network parameters.  ...  Furthermore, we investigate the effect of clipping with the aim of reducing the quantization noise. Quantizers are designed for the memoryless Laplacian source with zero-mean and unit variance.  ... 
doi:10.3390/info11110501 fatcat:evmv3a243fd2rdp7f6miuhkpmm

Performance Analysis of µ-law Companding for Laplacian Source with Transmission over Rayleigh Fading Channel

Z. Peric, D. Milic, A. Mosic, S. Panic
2011 Elektronika ir Elektrotechnika  
Comparison of input power range, quality of transmission (SQNR), and average SNR per symbol of 2-AM for Rayleigh fading channel  ...  Transmission quality (SQNR) of µ-law companding model versus ABEP of 2-AM for Rayleigh fading Fig. 4.  ...  Conclusions An approach to the performance analysis of Laplacian source transmission over wirelles Rayleigh fading channel, for the purpuse of finding optimal coding technique is presented..  ... 
doi:10.5755/j01.eee.115.9.741 fatcat:pgn5ujthkja5xdnaocrkjse5by

Binary Quantization Analysis of Neural Networks Weights on MNIST Dataset

Zoran H. Peric, Bojan D. Denic, Milan S. Savic, Nikola J. Vucic, Nikola B. Simic
2021 Elektronika ir Elektrotechnika  
This paper considers the design of a binary scalar quantizer of Laplacian source and its application in compressed neural networks.  ...  Binary quantizers are further implemented for compressing neural network weights and its performance is analysed for a simple classification task.  ...  CONCLUSIONS In this paper, a detailed analysis of binary scalar quantization of Laplacian source has been carried out along with an application for compression of NN parameters.  ... 
doi:10.5755/j02.eie.28881 fatcat:bl77womljnh3ph6u3v6ihp2szm

Design of a 2-Bit Neural Network Quantizer for Laplacian Source

Zoran Perić, Milan Savić, Nikola Simić, Bojan Denić, Vladimir Despotović
2021 Entropy  
Here, we analyze in detail and design a 2-bit uniform quantization model for Laplacian source due to its significance in terms of implementation simplicity, which further leads to a shorter processing  ...  to the performance of the other quantization solutions with almost optimal precision.  ...  Institutional Review Board Statement: Not applicable. Entropy 2021, 23, 933 Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/e23080933 fatcat:5sizvsrauvdejevlvitddh4daa

Comparison of different quantization strategies for subband coding of medical images

Roberto Castagno, Rosa C. Lancini, Olivier Egger, Yongmin Kim
1996 Medical Imaging 1996: Image Display  
The goal is to provide users with a comprehensive and application oriented review of these techniques.  ...  In this paper, the performance of four quantization methods namely standard Scalar Quantization , Embedded Zerotree, Variable Dimension Vector Quantization and Pyramid Vector Quantization are compared  ...  Reto Meuli of the Centre Hôpitalier Universitaire Vaudoise CHUV for kindly selecting and providing the test images, as well as for his invaluable help in the analysis of the simulation results.  ... 
doi:10.1117/12.238450 fatcat:nqgpbsaklnfzrcr7ffcssxxgeq

Forward Adaptive Dual-Mode Quantizer Based on the First-Degree Spline Approximation and Embedded G.711 Codec

Z. Peric, J. Nikolic, B. Denic, V. Despotovic
2019 Radioengineering  
In this paper, we propose a novel model of dualmode quantizer that combines the restricted and unrestricted forward adaptive piecewise linear scalar quantizers based on the first degree-spline functions  ...  , which is optimized for the assumed Laplacian source so that to provide a minimal mean-squared error distortion.  ...  Acknowledgments This work was supported in part by the Ministry of Education and Science of the Republic of Serbia, grant no. TR32035 and TR32051 within the Technological Development Program.  ... 
doi:10.13164/re.2019.0729 fatcat:xo64ayqlnfaihgjk3qubku6p5a

Comparison between Analog Joint Source-Channel Coded and Digital BICM Systems

O. Fresnedo, F. J. Vazquez-Araujo, J. Garcia-Frias, M. Gonzalez-Lopez, L. Castedo
2011 2011 IEEE International Conference on Communications (ICC)  
We show that the analog transmission performs better than the digital scheme with a much lower encoding and decoding complexity when considering Gaussian and Laplacian source distributions.  ...  Recently, the use of analog joint source-channel coding for the transmission of data samples at high rates has been proposed in the literature.  ...  ACKNOWLEDGEMENTS This work has been funded the Xunta de Galicia, the Ministerio de Ciencia e Innovación of Spain, and the FEDER funds of the EU under the grants 09TIC008105PR, TEC2010-19545-C04-01, and  ... 
doi:10.1109/icc.2011.5962667 dblp:conf/icc/FresnedoVGCG11 fatcat:vaca7bujsbcv5hw6dqvxacpxwu

Symmetric Quantile Quantizer Parameterization for the Laplacian Source: Qualification for Contemporary Quantization Solutions

Zoran Perić, Jelena Nikolić, Danijela Aleksić, Anastasija Perić, A. M. Bastos Pereira
2021 Mathematical Problems in Engineering  
The basic difference of our SQQ and the previously established asymptotically optimal quantizer model, that is, Scalar Companding Quantizer (SCQ), is reflected in the fact that, in SCQ model, both decision  ...  thresholds and representation levels are determined in accordance with the specified compressor function, whereas in our SQQ model, a precedence of SCQ model for the straightforward decision thresholds  ...  Acknowledgments is research was supported by the Science Fund of the Republic of Serbia, 6527104, AI-Com-in-AI.  ... 
doi:10.1155/2021/6647135 fatcat:2nqzx3c62fcwzh4ziuvfk75pxq

Gaussian source coding with spherical codes

J. Hamkins, K. Zeger
2002 IEEE Transactions on Information Theory  
An asymptotic analysis of the tradeoff between gain quantization and shape quantization is also given. Index Terms-Data compression, Gaussian source, lattice coding, vector quantization.  ...  The shape quantizer is constructed from wrapped spherical codes that map a sphere packing in 1 onto a sphere in , and the gain codebook is a globally optimal scalar quantizer.  ...  ACKNOWLEDGMENT The authors thank the two reviewers for very thorough readings of this paper and their helpful comments.  ... 
doi:10.1109/tit.2002.804056 fatcat:jk73np23bvbnhgnxr72jgbfmfu

Quantization

R.M. Gray, D.L. Neuhoff
1998 IEEE Transactions on Information Theory  
Also in 1948, Bennett published the first high-resolution analysis of quantization and an exact analysis of quantization noise for Gaussian processes, and Shannon published the beginnings of rate distortion  ...  Beginning with these three papers of fifty years ago, we trace the history of quantization from its origins through this decade, and we survey the fundamentals of the theory and many of the popular and  ...  ACKNOWLEDGMENT The authors gratefully acknowledge the many helpful comments, corrections, and suggestions from colleagues, students, and reviewers. Of particular assistance were A. Gersho, B.  ... 
doi:10.1109/18.720541 fatcat:55w3lmruijalxe4yht676re62e

Source Coding: Part I of Fundamentals of Source and Video Coding

Thomas Wiegand
2010 Foundations and Trends® in Signal Processing  
But we also briefly introduce vector quantization in order to show the structural limitations of scalar quantization and motivate the later discussed techniques of predictive coding and transform coding  ...  Due to its importance in video coding, we will mainly concentrate on the description of scalar quantization.  ...  During the lengthy process of writing, his and the anonymous reviewers' numerous valuable and detailed comments and suggestions greatly improved the final result.  ... 
doi:10.1561/2000000010 fatcat:tm2z3ytnmrajnpbgoakqka6wj4

Sample-adaptive product quantization: asymptotic analysis and examples

Dong Sik Kim, N.B. Shroff
2000 IEEE Transactions on Signal Processing  
However, the major disadvantage of VQ is that its encoding complexity increases dramatically with bit rate and vector dimension.  ...  In this paper, we extensively study the SAPQ that is based on scalar quantizers in order to exploit the simplicity of scalar quantization.  ...  The universal source coding scheme treats the problems of source coder design for applications where the source statistics are unknown a priori [7] , [51] , [53] .  ... 
doi:10.1109/78.869051 fatcat:h7nbveveevd33iixva2miv4unq

Wavelet-based image coder with entropy-constrained lattice vector quantizer (ECLVQ)

Won-Ha Kim, Yu-Hen Hu, T.Q. Nguyen
1998 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
Estimation formulas for both entropy and distortion of lattice quantized subband images are derived.  ...  This paper presents an algorithm that jointly optimizes a lattice vector quantizer (LVQ) and an entropy coder in a subband coding at all ranges of bit rate.  ...  The bit rates in parentheses are actually obtained from binary file. For the lowest subband, lattice (the uniform scalar quantizer) is used, and for other subbands, lattice is used.  ... 
doi:10.1109/82.718810 fatcat:25qw2jsyt5byvifzolp7o4etti

Multiple Description Coding for Image Data Hiding in the Spatial Domain [chapter]

Mohsen Ashourian, Yo-Sung Ho
2003 Lecture Notes in Computer Science  
as addition of noise, quantization, cropping and down-sampling.  ...  At the transmitter, the signature image is encoded by balanced two-description scalar quantizers in the wavelet transform domain.  ...  ) Research Center at K-JIST, and in part by the Ministry of Education (MOE) through the Brain Korea 21 (BK21) project.  ... 
doi:10.1007/978-3-540-39737-3_82 fatcat:x6ygoj2nzngazjmbal7qdaex74

Vector quantization in speech coding

J. Makhoul, S. Roucos, H. Gish
1985 Proceedings of the IEEE  
Practical issues relating to quantizer design, implementa tion, and performance in actual applications are explored.  ...  This tutorial review presents the basic concepts employed in vector quantization and gives a realistic assessment of its benefits and costs when compared to scalar quantization.  ...  and the Laplacian (Fig. 14) memoryless sources.  ... 
doi:10.1109/proc.1985.13340 fatcat:zgaxqeovhrh6ncezjx5gj7wmha
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