Accurate Computation of Forward/Inverse Continuous　Wavelet Transform

2008-05-14T05:11:59Z

2008-05-14T05:11:59Z

2003-03-01

This brief note describes some problems we would face in calculating continuous wavelet transform （CWT）and its inverse　（ICWT）, and how we can overcome those difficulties. Especially,　the reconstruction error due to the parameter truncation is discussed,　and a calculation method using two special functions named scaling　function and residual wavelet is proposed. Also, other issues that may　affect the accuracy of the calculation are briefly discussed with some　tips, which might be able to help ones who try to implement the CWT/ICWT very accurately. The overall effect of those techniques　results in sufficiently small reconstruction error less than one percent.

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京都工芸繊維大学　工芸学部研究報告　第５１巻　理工・欧文(2002) pp.9-19

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http://hdl.handle.net/10212/1721

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Journal Article

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