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   -> Volume 11, Issue 1


Question: Analysis of Truncated Fourier Transform Data Using Wavelets
 
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Jing Wu (jingwu@ADM.NJIT.EDU)
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PostPosted: Mon Feb 25, 2002 7:14 pm    
Subject: Question: Analysis of Truncated Fourier Transform Data Using Wavelets
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Dear Wavelet Experts:

I have some measured data which are a Fourier Transform of some entity. I would like to restore the entity by applying the inverse Fourier Transform to my measured data. However, the range of the independent variable of the measured data, i.e., the frequency domain variable, is not from -infinity to infinity. In other words, my measured data is truncated in the frequency domain. I wonder if some Wavelet Transform can work on the truncated data and give me the results that would be obtained by applying the inverse Fourier Transform on untruncated data.

While exact solution is appreciated, some approximate procedure is also helpful. Any suggetions and recommendations of literatures on the relationship between Fourier and Wavelet transform is also highly appreciated.

Thank you very much.

Jing Wu
jingwu@adm.njit.e
All times are GMT + 1 Hour
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