| 4/2013 - 13 |
Linearization of Optimal Compressor Function and Design of Piecewise Linear Compandor for Gaussian SourceNIKOLIC, J.   , PERIC, Z. , ALEKSIC, D. , ANTIC, D. |
Extra paper information in    |
| Click to see author's profile in SCOPUS, IEEE Xplore, Web of Science |
Download PDF  (684 KB) | Citation | Downloads: 786 | Views: 3,284 |
Author keywords
distortion, piecewise linear approximation, quantization, signal to noise ratio
References keywords
quantization(8), nikolic(8), scalar(7), coding(6), adaptive(6), speech(5), quantizer(5), algorithm(5), uniform(4), theory(4)
No common words between the references section and the paper title.
About this article
Date of Publication: 2013-11-30
Volume 13, Issue 4, Year 2013, On page(s): 73 - 78
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2013.04013
Web of Science Accession Number: 000331461300013
SCOPUS ID: 84890215004
Abstract
The constraints on the quantizer model are usually related to how complex the model can be designed and implemented. For the given bit rate, it is desirable to provide the highest possible signal to quantization noise ratio (SQNR) with reasonable complexity of a quantizer model. In order to avoid the influence of compressor function nonlinearity and the difficulties appearing in implementing and designing, especially in the Gaussian probability density function case, in this paper we linearize the optimal compressor function within the segments. We take advantage of piecewise linearization of the optimal compressor function, as a convenient solution for less complex designing compared to the asymptotically optimal compandor, and we provide performances close to the ones of the asymptotically optimal compandor. This makes our model useful in applications where the design and implementation complexity is a decisive factor. We propose a piecewise linear compandor (PLC) with an equal number of reproduction levels per nonuniformly spaced segments, where the segment thresholds are allotted to the equidistant optimal compressor function values. We study how the number of segments affects SQNR of the PLC. Features of the proposed PLC indicate its theoretical and practical significance in quantization of Gaussian source signals. |
| References | | | Cited By «-- Click to see who has cited this paper |
| [1] N. S. Jayant, P. Noll, Digital Coding of Waveforms. New Jersey, Prentice Hall, Chapter 5, pp. 221-251, 1984.
[2] A. Gersho, R. M. Gray, Vector Quantization and Signal Compression. Norwell, Kluwer Academic Publishers, Chapter 5, pp. 133-202, 1992. [3] W. C. Chu, Speech Coding Algorithms, Foundation and Evolution of Standardized Coders. John Wiley & Sons, New Jersey, Chapters 5-6, pp. 143-183, 2003. [4] L. Hanzo, C. Somerville, J. Woodard, Voice and Audio Compression for Wireless Communications. London, John Wiley & Sons, Chapter 1, pp. 1-28, 2007. [5] Z. Peric, J. Nikolic, "Design of piecewise uniform scalar quantizer with geometric progression of segment width," Advances in Electrical and Computer Engineering, vol. 11, pp. 37 40, 2011. [CrossRef] [Full Text] [Web of Science Times Cited 2] [SCOPUS Times Cited 2] [6] L. Velimirovic, Z. Peric, J. Nikolic, "Design of novel piecewise uniform scalar quantizer for Gaussian memoryless source," Radio Science, vol. 47, RS2005, 2012. [CrossRef] [Web of Science Times Cited 8] [SCOPUS Times Cited 8] [7] J. Nikolic, Z. Peric, A. Jovanovic, D. Antic, "Design of forward adaptive piecewise uniform scalar quantizer with optimized reproduction level distribution per segments," Electronics and Electrical Engineering, vol. 119, pp. 19 22, 2012. [CrossRef] [Web of Science Times Cited 6] [SCOPUS Times Cited 6] [8] A. Thompson, D. Emerson, F. Schwab, "Convenient formulas for quantization efficiency," Radio Science, vol. 42, RS3022, 2007. [CrossRef] [Web of Science Times Cited 21] [9] J. Max, "Quantization for minimum distortion," IEEE Trans. Inf. Theory, vol. 6, pp. 7 12, 1960. [CrossRef] [SCOPUS Times Cited 1608] [10] S. P. Lloyd, "Least squares quantization in PCM," IEEE Trans. Inf. Theory, vol. 28, pp. 129 137, 1982. [CrossRef] [Web of Science Times Cited 8983] [SCOPUS Times Cited 11110] [11] Z. Peric, J. Nikolic, "An effective method for initialization of Lloyd-Max's algorithm of optimal scalar quantization for Laplacian source," Informatica, vol. 18, pp. 279-288, 2007. [Online] Available: Temporary on-line reference link removed - see the PDF document [12] J. Nikolic, Z. Peric, "Lloyd-Max's algorithm implementation in speech coding algorithm based on forward adaptive technique," Informatica, vol. 19, pp. 255-270, 2008. [Online] Available: Temporary on-line reference link removed - see the PDF document [13] Z. Peric, J. Nikolic,, "An adaptive waveform coding algorithm and its application in speech coding," Digital Signal Processing, vol. 22, pp. 199-209, 2012. [CrossRef] [Web of Science Times Cited 24] [SCOPUS Times Cited 25] [14] Z. Peric, J. Nikolic, "High-quality Laplacian source quantisation using a combination of restricted and unrestricted logarithmic quantisers," IET Signal Processing, vol. 6, pp. 633 640, 2012. [CrossRef] [Web of Science Times Cited 13] [SCOPUS Times Cited 12] [15] S. Na, D. L. Neuhoff, "Asymptotic MSE distortion of mismatched uniform scalar quantization," IEEE Trans. Inf. Theory, vol. 58, pp. 3169-3181, 2012. [CrossRef] [Web of Science Times Cited 19] [SCOPUS Times Cited 19] [16] D. Kazakos, K. Makki, "Robust Companders," Proc. 6th International Conference on Telecommunications and Informatics, Dallas, Texas, pp. 32-35, 2007. [Online] Available: Temporary on-line reference link removed - see the PDF document [17] J. Nikolic, Z. Peric, D. Antic, A. Jovanovic, D. Denic, "Low complex forward adaptive loss compression algorithm and its application in speech coding," Journal of Electrical Engineering, vol. 62, pp. 19-24, 2011. [CrossRef] [Web of Science Times Cited 15] [SCOPUS Times Cited 16] [18] S. Na, D. L. Neuhoff, "On the support of MSE-optimal, fixed-rate, scalar quantizers," IEEE Trans. Inf. Theory, vol. 47, pp. 2972-2982, 2001. [CrossRef] [Web of Science Times Cited 51] [SCOPUS Times Cited 57] [19] S. Na, "Asymptotic formulas for variance-mismatched fixed-rate scalar quantization of a Gaussian source," IEEE Trans. Signal Process., vol. 59, pp. 2437-2441, 2011. [CrossRef] [Web of Science Times Cited 32] [SCOPUS Times Cited 34] [20] K. Popat, K. Zeger, "Robust quantization of memoryless sources using dispersive FIR filter," IEEE Trans. Commun., vol. 40, pp. 1670-1674, 1992. [CrossRef] [Web of Science Times Cited 34] [SCOPUS Times Cited 35] [21] V. Despotovic, Z. Peric, L. Velimirovic, V. Delic, "DPCM with forward gain-adaptive quantizer and switched first order predictor for high quality speech signals," Advances in Electrical and Computer Engineering, vol. 10, pp. 95-98, 2010. [CrossRef] [Full Text] [Web of Science Times Cited 10] [SCOPUS Times Cited 11] [22] V. Despotovic, Z. Peric, "ADPCM Using a Second-order Switched Predictor and Adaptive Quantizer," Advances in Electrical and Computer Engineering, vol. 11, pp. 61-64, 2011. [CrossRef] [Full Text] [Web of Science Times Cited 4] [SCOPUS Times Cited 4] Web of Science® Citations for all references: 9,222 TCR SCOPUS® Citations for all references: 12,947 TCR Web of Science® Average Citations per reference: 401 ACR SCOPUS® Average Citations per reference: 563 ACR TCR = Total Citations for References / ACR = Average Citations per Reference We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more Citations for references updated on 2024-11-14 15:07 in 104 seconds. Note1: Web of Science® is a registered trademark of Clarivate Analytics. Note2: SCOPUS® is a registered trademark of Elsevier B.V. Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site. |
Copyright ©2001-2024
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
