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   -> Volume 6, Issue 11


Preprint: The design of filters is no longer difficult
 
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"Wang Guoqiu" (guoqiuw@public.cs.hn.cn)
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PostPosted: Thu Oct 02, 1997 3:26 pm    
Subject: Preprint: The design of filters is no longer difficult
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#3 Preprint: The design of filters is no longer difficult

Hi, Wavelets reader:
Recently, I developed a set of theory about the design
of the filters and discrete wavelet transform. Its primary advantages
are: (1) it completely solved the discrete wavelet transform on finite
interval; (2) it can construct various filters according to your
demands easily; (3) its theoretic system is so simple that any people
who have the bachelor degree can understand it well.
Following is a group of bi-orthogonal filters. Clearly, it
belongs to neither Daubechies's wavelet family nor Cohen's or Chui's
family, for it has no relations g'(n)=(-1)^(1-n)h(1-n) or
g(n)=(-1)^(1-n)h'(1-n). But its properties are attractive: (1) it has
linear phase; (2) it has rational coefficients; (3) the structure is
symmetric, all the supported sets are [-2,3], and so on.
h={1/10,-3/10,7/10,7/10,-3/10,1/10};
g={3/70,-9/70,3/5,-3/5,9/70,-3/70};
h'={1/36,1/12,7/18,7/18,1/12,1/36};
g'={7/108,7/36,49/108,-49/108,-7/36,-7/108}.
The corresponding papers are in finishing. If you are interested
in my theory, please contact me, and I will send you MS word 7.0
document of the papers once I finish them. Also, any comments are
welcome.

Sincerely,

Samuel (Guoqiu) Wang
10/2/97

Associate Prof. Guoqiu Wang
#705
National Univ. of Defense Tech.
Changsha, Hunan, 410073
P. R. China
Tel: 86-731-4553037
Email: guoqiuw@public.cs.hn.cn
All times are GMT + 1 Hour
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