Analysis of the quantization noise in discrete wavelet transform filters for image processing

In this paper, we analyze the noise quantization effects in coefficients of discrete wavelet transform (DWT) filter banks for image processing. We propose the implementation of the DWT method, making it possible to determine the effective bit-width of the filter banks coefficients at which the quant...

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Hlavní autoři:	Chervyakov, N. I., Червяков, Н. И., Lyakhov, P. A., Ляхов, П. А.
Médium:	Статья
Jazyk:	English
Vydáno:	MDPI AG 2018
Témata:	Bit-width Digital image processing Discrete wavelet transform Fixed-point numbers Quantization noise
On-line přístup:	https://www.scopus.com/record/display.uri?eid=2-s2.0-85051245977&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=North+Caucasus+Federal+University&sid=10b1f77d2c763d6e07c4167e3be12c85&sot=afnl&sdt=cl&cluster=scopubyr%2c%222018%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=5&citeCnt=0&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/2860
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spelling	oai:10.200.131.19:20.500.12258-28602018-09-25T10:10:08Z Analysis of the quantization noise in discrete wavelet transform filters for image processing Chervyakov, N. I. Червяков, Н. И. Lyakhov, P. A. Ляхов, П. А. Bit-width Digital image processing Discrete wavelet transform Fixed-point numbers Quantization noise In this paper, we analyze the noise quantization effects in coefficients of discrete wavelet transform (DWT) filter banks for image processing. We propose the implementation of the DWT method, making it possible to determine the effective bit-width of the filter banks coefficients at which the quantization noise does not significantly affect the image processing results according to the peak signal-to-noise ratio (PSNR). The dependence between the PSNR of the DWT image quality on the wavelet and the bit-width of the wavelet filter coefficients is analyzed. The formulas for determining the minimal bit-width of the filter coefficients at which the processed image achieves high quality (PSNR ≥ 40 dB) are given. The obtained theoretical results were confirmed through the simulation of DWT for a test image using the calculated bit-width values. All considered algorithms operate with fixed-point numbers, which simplifies their hardware implementation on modern devices: field-programmable gate array (FPGA), application-specific integrated circuit (ASIC), etc 2018-08-30T13:00:49Z 2018-08-30T13:00:49Z 2018 Статья Chervyakov, N., Lyakhov, P., Kaplun, D., Butusov, D., Nagornov, N. Analysis of the quantization noise in discrete wavelet transform filters for image processing // Electronics (Switzerland). - 2018. - Volume 7. - Issue 8. - Номер статьи 135 https://www.scopus.com/record/display.uri?eid=2-s2.0-85051245977&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=North+Caucasus+Federal+University&sid=10b1f77d2c763d6e07c4167e3be12c85&sot=afnl&sdt=cl&cluster=scopubyr%2c%222018%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=5&citeCnt=0&searchTerm= http://hdl.handle.net/20.500.12258/2860 en Electronics (Switzerland) application/pdf application/pdf MDPI AG
institution	СКФУ
collection	Репозиторий
language	English
topic	Bit-width Digital image processing Discrete wavelet transform Fixed-point numbers Quantization noise
spellingShingle	Bit-width Digital image processing Discrete wavelet transform Fixed-point numbers Quantization noise Chervyakov, N. I. Червяков, Н. И. Lyakhov, P. A. Ляхов, П. А. Analysis of the quantization noise in discrete wavelet transform filters for image processing
description	In this paper, we analyze the noise quantization effects in coefficients of discrete wavelet transform (DWT) filter banks for image processing. We propose the implementation of the DWT method, making it possible to determine the effective bit-width of the filter banks coefficients at which the quantization noise does not significantly affect the image processing results according to the peak signal-to-noise ratio (PSNR). The dependence between the PSNR of the DWT image quality on the wavelet and the bit-width of the wavelet filter coefficients is analyzed. The formulas for determining the minimal bit-width of the filter coefficients at which the processed image achieves high quality (PSNR ≥ 40 dB) are given. The obtained theoretical results were confirmed through the simulation of DWT for a test image using the calculated bit-width values. All considered algorithms operate with fixed-point numbers, which simplifies their hardware implementation on modern devices: field-programmable gate array (FPGA), application-specific integrated circuit (ASIC), etc
format	Статья
author	Chervyakov, N. I. Червяков, Н. И. Lyakhov, P. A. Ляхов, П. А.
author_facet	Chervyakov, N. I. Червяков, Н. И. Lyakhov, P. A. Ляхов, П. А.
author_sort	Chervyakov, N. I.
title	Analysis of the quantization noise in discrete wavelet transform filters for image processing
title_short	Analysis of the quantization noise in discrete wavelet transform filters for image processing
title_full	Analysis of the quantization noise in discrete wavelet transform filters for image processing
title_fullStr	Analysis of the quantization noise in discrete wavelet transform filters for image processing
title_full_unstemmed	Analysis of the quantization noise in discrete wavelet transform filters for image processing
title_sort	analysis of the quantization noise in discrete wavelet transform filters for image processing
publisher	MDPI AG
publishDate	2018
url	https://www.scopus.com/record/display.uri?eid=2-s2.0-85051245977&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=North+Caucasus+Federal+University&sid=10b1f77d2c763d6e07c4167e3be12c85&sot=afnl&sdt=cl&cluster=scopubyr%2c%222018%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=5&citeCnt=0&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/2860
work_keys_str_mv	AT chervyakovni analysisofthequantizationnoiseindiscretewavelettransformfiltersforimageprocessing AT červâkovni analysisofthequantizationnoiseindiscretewavelettransformfiltersforimageprocessing AT lyakhovpa analysisofthequantizationnoiseindiscretewavelettransformfiltersforimageprocessing AT lâhovpa analysisofthequantizationnoiseindiscretewavelettransformfiltersforimageprocessing
_version_	1760531718441271296

Analysis of the quantization noise in discrete wavelet transform filters for image processing

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