| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We considered several mathematical problems, which occur when we apply wavelet analysis, especially (continuous or discrete) wavelet transforms, and we make clear the basic properties of the transforms which would be useful in applications. Especially, we found the transform of scaling functions corresponding to the (fractional) Hilbert transforms of wavelet functions. By this, an important property of Meyer wavelets is made mathematically clear. This result could also be applied to blind source separation (the problem to extract information about original signals from observed signals which are unknown mixtures of the original signals).
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