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Design of companding quantizer for Laplacian source using the approximation of probability density function
[article]
2012
arXiv
pre-print
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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
2012
Journal of Electrical Engineering
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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]
2013
arXiv
pre-print
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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
2011
IET Communications
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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
2018
Journal of Electrical Engineering
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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
2012
Applied Mathematics
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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
2006
IEEE Transactions on Audio, Speech, and Language Processing
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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]
2012
arXiv
pre-print
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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
2009
Informatica
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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
2013
Elektronika ir Elektrotechnika
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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
2016
Facta Universitatis Series Automatic Control and Robotics
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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
2016
Facta Universitatis Series Automatic Control and Robotics
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The file type is application/pdf.
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
2013
Elektronika ir Elektrotechnika
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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
1988
IEEE Transactions on Information Theory
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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
2012
IEEE Transactions on Information Theory
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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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