2022年 04期

基于典型相关分析的信号与彩图混合分离方法

Mixing and Separation Method of Signals and Color Images Based on Canonical Correlation Analysis


摘要(Abstract):

为了解决信号与彩图的混合分离问题,提出一种基于典型相关分析的信号与彩图混合分离方法;该方法利用原始彩图与原始信号的自相关性以及典型投影方向之间的正交性,估计原始彩图在红、绿、蓝三原色通道上的原始灰色图像,从而根据信号与彩图的混合方式恢复原始信号;针对双信号双彩图和多信号多彩图2种情况,将所提出的方法与目前最常用的独立成分分析法进行分离混合信号与彩图对比实验。结果表明,所提出的方法不仅可以同时分离信号与彩图,而且所分离出的信号与彩图均具有较高的质量,信号与彩图恢复相似度均提高了近30%。

关键词(KeyWords):混合分离;信号与彩图;典型相关分析;正交性

基金项目(Foundation):国家自然科学基金项目(11801248);; 山东省自然科学基金项目(ZR2020MA026,ZR2018BF010)

作者(Author): 陈柯鑫,范丽亚

DOI: 10.13349/j.cnki.jdxbn.20220304.001

参考文献(References):

[1] JUTTEN C,HERANULT J.Space or time adaptive signal processing by neural network models[J].AIP Conference Proceedings,1986,151(1):206-211.

[2] WANG K W,HAO Q S,ZHANG X,et al.Blind source extraction of acoustic emission signals for rail cracks based on ensemble empirical mode decomposition and constrained independent com-ponent analysis[J].Measurement,2020,157:107653.

[3] XIAO Y M,LU W Z,YAN Q M Y,et al.Blind separation of coherent multipath signals with impulsive interference and Gaussian noise in time-frequency domain[J].Signal Processing,2021,178:107750.

[4] ZHOU B,LIU A,LAU V.Successive localization and beamforming in 5G mmwave MIMO communication systems[J].IEEE Transactions on Signal Processing,2019,67:1620-1635.

[5] BEEGUM J D,SASI D.Novel implementation of “Filtered-Reconstruction ICA” enabled wheeze component separation for preliminary diagnosis of COVID-19[J].Journal of Interdisciplinary Mathematics,2021,24(2):353-366.

[6] WILDEBOER R R,SAMMALI F,VAN SLOUN R J G,et al.Blind source separation for clutter and noise suppression in ultrasound imaging:review for different applications[J].IEEE Transactions on Ultrasonics,Ferroelectrics,and Frequency Control,2020,67(8):1497-1512.

[7] YATABE K.Consistent ICA:determined BSS meets spectrogram consistency[J].IEEE Signal Processing Letters,2020,27:870-874.

[8] RAMLI D A,SHIONG Y H,HASSAN N.Blind source separation (BSS) of mixed maternal and fetal electrocardiogram (ECG) signal:a comparative study[J].Procedia Computer Science,2020,176:582-591.

[9] FRIMAN O,BORGA M,LUNDBERG P,et al.Exploratory fMRI analysis by autocorrelation maximization[J].Neuroimage,2002,16(2):454-464.

[10] LIU W,MANDIC D P,CICHOCKI A.Blind source separation based on generalised canonical correlation analysis and its adaptive realization[C]//2008 Congress on Image and Signal Processing,May 27-30,2008,Sanya,China.New York:IEEE,2008:417-421.

[11] KARHUNEN J,HAO T,YLIPAACALNIEMI J.A generalized canonical correlation analysis based method for blind source separation from related data sets[C]//The 2012 International Joint Conference on Neural Networks,June 10-15,2012,Brisbane,QLD,Australia.2012:1-8.

[12] YU H G,HUANG G M,GAO J.Multiset canonical correlation analysis using for blind source separation[J].Applied Mechanics and Materials,2012,195/196:104-108.

[13] QADAR M A,SEGHOUANE A K.A projection CCA method for effective fMRI data analysis[J].IEEE Transactions on Biomedical Engineering,2019,66(11):3247-3256.

[14] QADAR M A,A?SSA-EI-BEY A,SEGHOUANE A K.Two dimensional CCA via penalized matrix decomposition for structure preserved fMRI data analysis[J].Digital Signal Processing,2019,92:36-46.

[15] NUZILLARD D,BIJAOUI A.Blind source separation and analysis of multispectral astronomical images[J].Astronomy and Astrophysics Supplement Series,2000,147(1):129-138.

[16] LIN Q H,YIN F L.Blind source separation applied to image cryptosystems with dual encryption[J].Electronics Letters,2002,38(19):1092-1094.

[17] JADHAV S D,BHALCHANDRA A S.Blind source separation based digital color image-adaptive watermarking[C]// 2009 Fifth International Conference on Image and Graphics,September 20-23,2009,Xi’an,China.New York:IEEE,2009:13-17.

[18] HATTAY J,BELAID S,LEBRUN D,et al.Digital in-line particle holography:twin-image suppression using sparse blind source separation[J].Signal,Image and Video Processing,2015,9(8):1767-1774.

[19] ASIQ M S S,EMMANUEL W S.Efficient colour filter array demosaicking with prior error reduction[J].Journal of King Saud University:Computer and Information Sciences,2022,34(4):1191-1199.