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Title: Quantization Noise of Multilevel Discrete Wavelet Transform Filters in Image Processing
Authors: Chervyakov, N. I.
Червяков, Н. И.
Lyakhov, P. A.
Ляхов, П. А.
Nagornov, N. N.
Нагорнов, Н. Н.
Keywords: Bit-width;Digital image processing;Discrete wavelet transform;Fixedpoint format;Quantization noise
Issue Date: 2018
Publisher: Pleiades Publishing
Citation: Chervyakov, N.I., Lyakhov, P.A., Nagornov, N.N. Quantization Noise of Multilevel Discrete Wavelet Transform Filters in Image Processing // Optoelectronics, Instrumentation and Data Processing. - 2018. - Volume 54. - Issue 6. - Pages 608-616
Series/Report no.: Optoelectronics, Instrumentation and Data Processing
Abstract: The effect of the quantization noise of the coefficients of discrete wavelet transform (DWT) filters on the image processing result is analyzed. A multilevel DWT method is proposed for determining the effective bit-width of DWT filter coefficients at which quantization noise has little effect on the image processing result. The dependence of the peak signal-to-noise ratio (PSNR) in DWT of images on the wavelet used, the effective bit-width of the coefficients, and the number of processing levels is revealed. Formulas are derived for determining the minimum bit-width of the coefficients that provide high quality of the processed image (PSNR ≥ 40 dB) depending on the wavelet used and the number of processing levels. Experimental modeling of a multilevel DWT image confirmed the results obtained. In the proposed method, all data are represented in fixed-point format, making possible its hardwareefficient implementation on modern devices (FPGA, ASIC, etc.)
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