Presentation 1994/3/14
THEORY OF THE OPTIMUM INTERPOLAION OF MULTI-DIMENSIONA SIGNALS CONSIDERING THE QUANTIZATION OF THE TRANSFORMED SAMPLES VALUES
Takuro Kida,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) A systematic theory of the optimum sub-band interpolation using parallel filter banks is presented with respect to a family of n- dimensional signals which are not necessarily bandlimited. we establish a theory showing that the presented optimum interpolation functions minimize the wide variety of measures of error simultaneously.Further,the quantization of the decimated sample values is contained in the discussion which is observed in the parallel paths between the analysis and the synthesis filter bank.In the following,we assume initially that the corresponding approximation formula uses the infinite number of interpolation functions having limited supports and functional forms different from each other.However,it should be noted that the resultant optimum interpolation functions can be realized as the parallel shift of the finite number of space-limitited functions.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) optimum interpolation / sampling / filter bank / quantization
Paper # CAS93-109,CS93-183,DSP93-107
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Committee CAS
Conference Date 1994/3/14(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) THEORY OF THE OPTIMUM INTERPOLAION OF MULTI-DIMENSIONA SIGNALS CONSIDERING THE QUANTIZATION OF THE TRANSFORMED SAMPLES VALUES
Sub Title (in English)
Keyword(1) optimum interpolation
Keyword(2) sampling
Keyword(3) filter bank
Keyword(4) quantization
1st Author's Name Takuro Kida
1st Author's Affiliation Department of Information Processing,Interdisciplinary Graduate School of Science and Engineering,Tokyo Institute of Technology()
Date 1994/3/14
Paper # CAS93-109,CS93-183,DSP93-107
Volume (vol) vol.93
Number (no) 509
Page pp.pp.-
#Pages 8
Date of Issue