Presentation | 2007-03-06 The Optimum Approximation of Filter Banks Based on Fredholm Integral Equation With Pincherle-Goursat Kernel Yuichi KIDA, Takuro KIDA, |
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Abstract(in English) | It is well-known that Fredholm integral equation f(t)-λ∫^L_<-L>σ(t,r)/f(r)dr= e(t) for e(t) in L^2 has a solution f(t) in L^2 if λ is sufficiently small. The solution is given by Neumann series and projection operator from e(t) to f(t) is compact. In the main part of this paper, we present a unified theory of the optimum running-type approximation based on this Fredholm integral equation using Pincherle-Goursat kernel. |
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Paper # | CAS2006-111,SIP2006-212,CS2006-128 |
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Committee | SIP |
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Conference Date | 2007/2/27(1days) |
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Registration To | Signal Processing (SIP) |
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Language | ENG |
Title (in Japanese) | (See Japanese page) |
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Title (in English) | The Optimum Approximation of Filter Banks Based on Fredholm Integral Equation With Pincherle-Goursat Kernel |
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1st Author's Name | Yuichi KIDA |
1st Author's Affiliation | The School of Pharmaceutical Sciences, Ohu University() |
2nd Author's Name | Takuro KIDA |
2nd Author's Affiliation | Dept. of E.E. Eng., Nihon University |
Date | 2007-03-06 |
Paper # | CAS2006-111,SIP2006-212,CS2006-128 |
Volume (vol) | vol.106 |
Number (no) | 570 |
Page | pp.pp.- |
#Pages | 6 |
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