Title : 
Correlation between the wavelet decomposition components
         
        
            Author : 
Shusterman, E. ; Feder, M.
         
        
            Author_Institution : 
Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel
         
        
        
        
        
        
            Abstract : 
Wavelet transform is a powerful mathematical tool used in different signal processing applications. For some of these applications it is desirable to know the correlation properties between the components of the transform. In the current work the correlation between the wavelet decomposition components is studied. An expression, which is useful for estimating this correlation for a signal with a given power spectrum, is developed. This procedure for calculating the correlation between the components of the transform is demonstrated by two examples
         
        
            Keywords : 
correlation theory; signal representation; transform coding; wavelet transforms; correlation properties; mathematical tool; power spectrum; signal coding; signal processing applications; wavelet decomposition components; wavelet transform; Autocorrelation; Equations; Fourier transforms; Frequency; Power engineering and energy; Signal processing; Signal representations; Signal resolution; Wavelet analysis; Wavelet transforms;
         
        
        
        
            Conference_Titel : 
Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on
         
        
            Conference_Location : 
Philadelphia, PA
         
        
            Print_ISBN : 
0-7803-2127-8
         
        
        
            DOI : 
10.1109/TFSA.1994.467329