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Design of companding quantizer for Laplacian source using the approximation of probability density function [article]

Lazar Velimirovic, Zoran Peric, Miomir Stankovic, Nikola Simic
2012 arXiv   pre-print
Design of these companding quantizer models is performed for the Laplacian source at the entrance of the quantizer.  ...  For the probability density function approximated in these ways, a compressor function is formed.  ...  ACKNOWLEDGEMENT This work is partially supported by Serbian Ministry of Education and Science through Mathematical Institute of Serbian Academy of Sciences and Arts (Project III44006) and by Serbian Ministry  ... 
arXiv:1212.2144v1 fatcat:tonft237vnbqjgxkgulladick4

Semi–logarithmic and hybrid quantization of Laplacian source inwide range of variances

Milan S. Savić, Zoran H. Perić, Stefan R. Panić, Aleksandar V. Mosić
2012 Journal of Electrical Engineering  
A novel semilogarithmic hybrid quantizer for non-uniform scalar quantization of Laplacian source, which consist of uniform quantizer and companding quantizer is introduced.  ...  The main advantage of hybrid quantizer is that number of representation levels for both uniform and companding quantizer are not unambiguously determined function of the A parameter value, as it is the  ...  Acknowledgement This work has been funded by the Serbian Ministry of Science under the project III 044006  ... 
doi:10.2478/v10187-012-0057-z fatcat:4lrxvrgk2jbrhf2qlpldebkx3m

Design of Compandor Based on Approximate the First-Degree Spline Function [article]

Lazar Velimirovic, Zoran Peric, Miomir Stankovic, Jelena Nikolic
2013 arXiv   pre-print
For the companding quantizer designed on the basis of the approximative spline function of the first-degree, the support region is numerically optimized to provide the minimum of the total distortion for  ...  In this paper, the approximation of the optimal compressor function using spline function of the first-degree is done.  ...  ACKNOWLEDGMENT This work is partially supported by Serbian Ministry of Education and Science through Mathematical Institute of Serbian Academy of Sciences and Arts (Project III44006) and by Serbian Ministry  ... 
arXiv:1301.5434v1 fatcat:5ijwdvikp5fjnetwapbrbcudsq

Optimisation of variable-length code for data compression of memoryless Laplacian source

M.D. Petković, A.V. Mosić, Z.H. Perić
2011 IET Communications  
In this paper we present the efficient technique for compression and coding of memoryless Laplacian sources, which uses variable-length code (V LC).  ...  It is shown that the difference of SQN R of our model and classical 1 companding quantizer based model is 2.8dB for two quantizers and 4.2dB in three quantizers model.  ...  Acknowledgement: The authors wish to thank to anonymous referees for valuable comments improving the quality of the paper. Marko D.  ... 
doi:10.1049/iet-com.2010.0197 fatcat:qh4cxgavbnfczbspsh6u2qwhim

Dual-mode quasi-logarithmic quantizer with embedded G.711 codec

Bojan Denić, Zoran Perić, Vladimir Despotović, Nikola Vučić, Predrag Petrović
2018 Journal of Electrical Engineering  
bit rate of approximately 0.9 bit/sample for the same signal quality.  ...  The parameters of the proposed quantizer are optimized, where the minimal distortion is used as the criterion.  ...  transmission at VHF using existing FM mobile radios.  ... 
doi:10.1515/jee-2018-0006 fatcat:4vl4olnpgrbfzbrh2vvs6finni

Optimization of Quantizer's Segment Threshold Using Spline Approximations for Optimal Compressor Function

Lazar Velimirović, Zoran Perić, Miomir Stanković, Jelena Nikolić
2012 Applied Mathematics  
For the quantizer designed on the basis of approximative spline functions, segment threshold is numerically determined depending on maximal value of the signal to quantization noise ratio (SQNR).  ...  In this paper, the optimization of quantizer's segment threshold is done. The quantizer is designed on the basis of approximative spline functions.  ...  Acknowledgements This work is partially supported by Serbian Ministry of Education and Science through Mathematical Institute of Serbian Academy of Sciences and Arts (Project III44006) and by Serbian Ministry  ... 
doi:10.4236/am.2012.330201 fatcat:uodbkn2yuzbnhoueon2xpeexa4

Efficient bit-rate scalability for weighted squared error optimization in audio coding

A. Aggarwal, S.L. Regunathan, K. Rose
2006 IEEE Transactions on Audio, Speech, and Language Processing  
Simulation results are presented for synthetic memoryless Laplacian sources with -law companding, and for real-world audio signals in conjunction with MPEG AAC.  ...  We show that quantization of the base-layer reconstruction error using entropy-coded scalar quantizers is suboptimal for the WSE metric.  ...  Let us assume that the source density in the companded domain is modeled by the Laplacian pdf.  ... 
doi:10.1109/tsa.2005.858043 fatcat:uzji4uobsvbtnooxj6lnyvllxe

Simple Solution for Designing the Piecewise Linear Scalar Companding Quantizer for Gaussian Source [article]

Jelena Nikolic, Zoran Peric, Lazar Velimirovic
2012 arXiv   pre-print
We show that the approximations used in determining the piecewise linear compressor function contribute to the simple solution for designing the novel piecewise linear scalar companding quantizer (PLSCQ  ...  The presented features of the proposed PLSCQ indicate that the obtained model should be of high practical significance for quantization of signals having Gaussian probability density function.  ...  As reported in [7] , one of the reasons of often considering the Gaussian source is that the first approximation to the short-time-averaged probability density function (PDF) of speech amplitudes is provided  ... 
arXiv:1212.2864v1 fatcat:cby6jhhzonbbdevgpyu7eotm3u

Simple Compression Algorithm for Memoryless Laplacian Source Based on the Optimal Companding Technique

Zoran H. Perić, Marko D. Petković, Milan R. Dinčić
2009 Informatica  
This optimization is achieved by optimizing maximal amplitude for that optimal companding quantizer for Laplacian source. Approximate expression in closed form for optimal maximal amplitude is found.  ...  The first aim of this paper is optimization of the lossy compression coder realized as companding quantizer with optimal compression law.  ...  This difference is very notable for some commonly used sources including the Laplacian source. We will consider companding quantizer, because of less complexity in design and implementation.  ... 
doi:10.15388/informatica.2009.239 fatcat:lydnhqscqfadzbzma3mszfv5pa

Design of Compandor Based on Approximate the First-Degree Spline Function

L. Velimirovic, Z. Peric, M. Stankovic, J. Nikolic
2013 Elektronika ir Elektrotechnika  
For the companding quantizer designed on the basis of the approximative spline function of the first-degree, the support region is numerically optimized to provide the minimum of the total distortion for  ...  1 Abstract-In this paper, the approximation of the optimal compressor function using spline function of the first-degree is done.  ...  It is well known that uniform quantizers are suitable for signals that have approximately uniform probability density function (PDF) [1] .  ... 
doi:10.5755/j01.eee.19.10.5911 fatcat:j2nzxoba7ffavfl6e5stsodscm

DETERMINING COMPRESSION FACTOR OF QUASI-LOGARITHMIC QUANTIZERS FOR LAPLACIAN SOURCE IN NARROW DYNAMIC VARIANCE RANGE

Milan Tančić, Zoran Perić, Aleksandra Jovanović, Stefan Tomić
2016 Facta Universitatis Series Automatic Control and Robotics  
In this paper, it has been performed an optimization of compression factor of quasi-logarithmic quantizer for the case when a signal with Laplacian probability density function is brought on the input  ...  of quantizer.  ...  For the case when a signal with Laplacian probability density function of unit variance is brought on the input of companding quantizer, the compression factor and support limit of quantizer are calculated  ... 
doi:10.22190/fuacr1603217t fatcat:jgxhvmkjd5f2dgvjgcycpkfpje

DETERMINING COMPRESSION FACTOR OF QUASI-LOGARITHMIC QUANTIZERS FOR LAPLACIAN SOURCE IN NARROW DYNAMIC VARIANCE RANGE

Milan Tančić, Zoran Perić, Aleksandra Jovanović, Stefan Tomić
2016 Facta Universitatis Series Automatic Control and Robotics  
In this paper, it has been performed an optimization of compression factor of quasi-logarithmic quantizer for the case when a signal with Laplacian probability density function is brought on the input  ...  of quantizer.  ...  For the case when a signal with Laplacian probability density function of unit variance is brought on the input of companding quantizer, the compression factor and support limit of quantizer are calculated  ... 
doi:10.22190/fuacr.v15i3.1874 fatcat:nwiibrekjna5fonmuyhkrrkypq

New Approach to Support Region Determination of the µ-law Quantizer

Z. Peric, D. Aleksic, M. Stefanovic, J. Nikolic
2013 Elektronika ir Elektrotechnika  
 Abstract-In this paper we address the optimization of the support region threshold of the µ-law companding quantizer designed for the Laplacian source of unit variance.  ...  This indicates the usefulness of the proposed approach. Index Terms-Newton method, optimization methods, quantization.  ...  assumed Laplacian probability density function (PDF) [1]   2 2 exp -2 x px       , (8) the expressions for the granular and the overload distortion of the µ-law companding quantizer are  ... 
doi:10.5755/j01.eee.19.8.5406 fatcat:comfoldpbrgkblrvhuajfdqyam

Piecewise uniform vector quantizers

F. Kuhlmann, J.A. Bucklew
1988 IEEE Transactions on Information Theory  
On the other hand, multidimensional piecewise linear companders can be designed for any signal density, generating quantizers that are uniform on each region of the compander.  ...  However, if the signal to be quantized is a vector, then the optimum companding system can be designed for only a limited number of distributions.  ...  STATEMENT OF THE PROBLEM Let the k-dimensional random vector x with probability density function p ( x ) be the input to the k-dimensional quantizer.  ... 
doi:10.1109/18.21253 fatcat:lqe2vhhoffecjpe2uzondvtbl4

Entropy Density and Mismatch in High-Rate Scalar Quantization With Rényi Entropy Constraint

Wolfgang Kreitmeier, Tamás Linder
2012 IEEE Transactions on Information Theory  
The distortion loss resulting from a mismatch of source densities in the design of an asymptotically optimal sequence of quantizers is also determined.  ...  For an asymptotically (high-rate) optimal sequence of quantizers, the contribution to the Rényi entropy due to source values in a fixed interval is identified in terms of the "entropy density" of the quantizer  ...  More formally, a point density, if exists, is the probability density function of the limit distribution of the output levels of a sequence of quantizers.  ... 
doi:10.1109/tit.2012.2192415 fatcat:suftfuowsjakvchjclbyfz7hiu
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