Analysis of switched quantizer based on the quadratic spline functions

Zoran Peric, Jelena Nikolic, Lazar Velimirovic, Stefan Panic, Miomir Stankovic

Research output: Contribution to journalArticle

Abstract

In this paper, an approximation of the optimal compressor function using the quadratic spline functions with 2L = 8 segments is described. Since the quadratic spline with 2L = 8 segments provides better approximation of the optimal compression function than quadratic spline with 2L = 4 segments, capitalizing on the benefits of the obtained spline approximation, quantizer designing process is firstly performed for the so assumed number of segments and the Laplacian source of a unit variance. Then, to enhance the usability of the proposed model, the switched quantization technique is applied and a beneficial analysis is derived, providing insight in the robustness of the proposed quantizer performances with respect to the mismatch in designed for and applied to variances. Reached quality has been compared to another model from the literature, and it has been shown that the proposed model outperforms the previous model by almost 1.3 dB.

Original languageEnglish
Pages (from-to)2348-2355
Number of pages8
JournalInternational Journal of Computer Mathematics
Volume94
Issue number12
DOIs
Publication statusPublished - 2 Dec 2017
Externally publishedYes

Fingerprint

Quadratic Spline
Spline Functions
Quadratic Function
Splines
Compression Function
Spline Approximation
Compressor
Approximation
Model
Usability
Compressors
Quantization
Robustness
Unit

Keywords

  • compressor function
  • optimal compression
  • quadratic spline
  • scalar compandor
  • Spline approximations
  • switched quantization technique

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

Analysis of switched quantizer based on the quadratic spline functions. / Peric, Zoran; Nikolic, Jelena; Velimirovic, Lazar; Panic, Stefan; Stankovic, Miomir.

In: International Journal of Computer Mathematics, Vol. 94, No. 12, 02.12.2017, p. 2348-2355.

Research output: Contribution to journalArticle

Peric, Zoran ; Nikolic, Jelena ; Velimirovic, Lazar ; Panic, Stefan ; Stankovic, Miomir. / Analysis of switched quantizer based on the quadratic spline functions. In: International Journal of Computer Mathematics. 2017 ; Vol. 94, No. 12. pp. 2348-2355.
@article{ee1051e66f7147a0a8df533172c7be60,
title = "Analysis of switched quantizer based on the quadratic spline functions",
abstract = "In this paper, an approximation of the optimal compressor function using the quadratic spline functions with 2L = 8 segments is described. Since the quadratic spline with 2L = 8 segments provides better approximation of the optimal compression function than quadratic spline with 2L = 4 segments, capitalizing on the benefits of the obtained spline approximation, quantizer designing process is firstly performed for the so assumed number of segments and the Laplacian source of a unit variance. Then, to enhance the usability of the proposed model, the switched quantization technique is applied and a beneficial analysis is derived, providing insight in the robustness of the proposed quantizer performances with respect to the mismatch in designed for and applied to variances. Reached quality has been compared to another model from the literature, and it has been shown that the proposed model outperforms the previous model by almost 1.3 dB.",
keywords = "compressor function, optimal compression, quadratic spline, scalar compandor, Spline approximations, switched quantization technique",
author = "Zoran Peric and Jelena Nikolic and Lazar Velimirovic and Stefan Panic and Miomir Stankovic",
year = "2017",
month = "12",
day = "2",
doi = "10.1080/00207160.2017.1283407",
language = "English",
volume = "94",
pages = "2348--2355",
journal = "International Journal of Computer Mathematics",
issn = "0020-7160",
publisher = "Taylor and Francis Ltd.",
number = "12",

}

TY - JOUR

T1 - Analysis of switched quantizer based on the quadratic spline functions

AU - Peric, Zoran

AU - Nikolic, Jelena

AU - Velimirovic, Lazar

AU - Panic, Stefan

AU - Stankovic, Miomir

PY - 2017/12/2

Y1 - 2017/12/2

N2 - In this paper, an approximation of the optimal compressor function using the quadratic spline functions with 2L = 8 segments is described. Since the quadratic spline with 2L = 8 segments provides better approximation of the optimal compression function than quadratic spline with 2L = 4 segments, capitalizing on the benefits of the obtained spline approximation, quantizer designing process is firstly performed for the so assumed number of segments and the Laplacian source of a unit variance. Then, to enhance the usability of the proposed model, the switched quantization technique is applied and a beneficial analysis is derived, providing insight in the robustness of the proposed quantizer performances with respect to the mismatch in designed for and applied to variances. Reached quality has been compared to another model from the literature, and it has been shown that the proposed model outperforms the previous model by almost 1.3 dB.

AB - In this paper, an approximation of the optimal compressor function using the quadratic spline functions with 2L = 8 segments is described. Since the quadratic spline with 2L = 8 segments provides better approximation of the optimal compression function than quadratic spline with 2L = 4 segments, capitalizing on the benefits of the obtained spline approximation, quantizer designing process is firstly performed for the so assumed number of segments and the Laplacian source of a unit variance. Then, to enhance the usability of the proposed model, the switched quantization technique is applied and a beneficial analysis is derived, providing insight in the robustness of the proposed quantizer performances with respect to the mismatch in designed for and applied to variances. Reached quality has been compared to another model from the literature, and it has been shown that the proposed model outperforms the previous model by almost 1.3 dB.

KW - compressor function

KW - optimal compression

KW - quadratic spline

KW - scalar compandor

KW - Spline approximations

KW - switched quantization technique

UR - http://www.scopus.com/inward/record.url?scp=85011891113&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85011891113&partnerID=8YFLogxK

U2 - 10.1080/00207160.2017.1283407

DO - 10.1080/00207160.2017.1283407

M3 - Article

AN - SCOPUS:85011891113

VL - 94

SP - 2348

EP - 2355

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

SN - 0020-7160

IS - 12

ER -