Quantization Noise of Multilevel Discrete Wavelet Transform Filters in Image Processing

被引:5
作者
Chervyakov, N. I. [1 ]
Lyakhov, P. A. [1 ]
Nagornov, N. N. [1 ]
机构
[1] North Caucasus Fed Univ, Ul Pushkina 1, Stavropol 355009, Russia
基金
俄罗斯基础研究基金会;
关键词
discrete wavelet transform; digital image processing; quantization noise; bit-width; fixedpoint format;
D O I
10.3103/S8756699018060092
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.).
引用
收藏
页码:608 / 616
页数:9
相关论文
共 19 条
[1]  
[Anonymous], 2009, WAVELET TOUR SIGNAL
[2]  
Bailey D. G., 2011, DESIGN EMBEDDED IMAG
[3]   Blind Watermarking of Color Images Using Karhunen-Loeve Transform Keying [J].
Basso, Alessandro ;
Cavagnino, Davide ;
Pomponiu, Victor ;
Vernone, Annamaria .
COMPUTER JOURNAL, 2011, 54 (07) :1076-1090
[4]  
Bovik A, 2005, HANDBOOK OF IMAGE AND VIDEO PROCESSING, 2ND EDITION, pV, DOI 10.1016/B978-012119792-6/50062-0
[5]   On-chip memory optimization scheme for VLSI implementation of line-based two-dimentional discrete wavelet transform [J].
Cheng, Chih-Chi ;
Huang, Chao-Tsung ;
Chen, Ching-Yeh ;
Lian, Chung-Jr ;
Chen, Liang-Gee .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY, 2007, 17 (07) :814-822
[6]  
Daubechies I., 1992, 10 LECT WAVELETS, DOI [10.1137/1.9781611970104., DOI 10.1137/1.9781611970104, 10.1137/1.9781611970104]
[7]  
Gonzalez R.C., 2018, DIGITAL IMAGE PROCES, V4
[8]   Design and implementation of an RNS-based 2-D DWT processor [J].
Liu, Y ;
Lai, EMK .
IEEE TRANSACTIONS ON CONSUMER ELECTRONICS, 2004, 50 (01) :376-385
[9]   Hardware-efficient systolic-like modular design for two-dimensional discrete wavelet transform [J].
Meher, Pramod Kumar ;
Mohanty, Basant Kumar ;
Patra, Jagdish Chandra .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2008, 55 (02) :151-155
[10]   A Lower Bound for the Hardware Complexity of FIR Filters [J].
Mehrnia, Alireza ;
Willson, Alan N., Jr. .
IEEE CIRCUITS AND SYSTEMS MAGAZINE, 2018, 18 (01) :10-28