Presentation	2003/4/18 THEORY OF THE GENERALIZED INTERPOLATION OF APPROXIMATELY BAND-LIMITED SIGNALS Yuichi Kida, Takuro Kida,
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Abstract(in English)	In this paper, we present some sets of signals for which the optimum discrete n-dimensional interpolation functions ψ_k(n) (n = integer vectors) exist which minimize various measures of approximation error defined at discrete sample points x_n = n (n = integer vectors), simultaneously. The presented discrete interpolation functions ψ_k(n) (n = integer vectors) vanish outside the prescribed domain in the integer-vector space. Hence, these interpolation functions are realized by multi-dimensional FIR filters. Besides, these interpolation functions satisfy the discrete orthogonality. Further, the interpolation functions have much flexibility in their frequency characteristics if appropriate analysis filters afe selected. These features of the presented theory will be useful in applying those results to UWB radars and so on.
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Paper #	SANE2003-4
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Committee	SANE
Conference Date	2003/4/18(1days)
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Registration To	Space, Aeronautical and Navigational Electronics (SANE)
Language	ENG
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Title (in English)	THEORY OF THE GENERALIZED INTERPOLATION OF APPROXIMATELY BAND-LIMITED SIGNALS
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1st Author's Name	Yuichi Kida
1st Author's Affiliation	Systems Development Laboratory Hitachi Ltd.()
2nd Author's Name	Takuro Kida
2nd Author's Affiliation	Department of Electrical and Electronics Engineering Nihon University
Date	2003/4/18
Paper #	SANE2003-4
Volume (vol)	vol.103
Number (no)	28
Page	pp.pp.-
#Pages	6
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