Evaluation of the quantization error in denominator-separable 2-D recursive filters

Raghuramireddy, D.; Unbehauen, R.

doi:10.1109/78.80978

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…The complex conjugate terms G ( are given in Table 2 so that the other tables can easily be understood and used. This ist one major variation from the 2-D case [12]. and G k (fc = 0,1,2,...,?)…”

Section: The Difference Equation Which Governs (3) Can Be Described Asmentioning

confidence: 84%

“…For different combinations of terms G m and G* the above integrals can be tabulated along with their values similar to the 1-D and 2-D cases [10][11][12]. The contour integrations involving the function G,-are simple to be performed.…”

Section: The Difference Equation Which Governs (3) Can Be Described Asmentioning

confidence: 99%

“…From Table3 and (7) we obtain =/oo+ill+ill+ill+ill+i 22 +ΐ£+ΐ£+ΐΆ+ΐΆ (12) We have also computed the value of J using the difference equation (4) where /" is the integral with combination of G} and its conjugate, l\l is the integral due to G{ and the conjugate of G 2 . The terms of the type G i and G 4 occur twice.…”

Section: Y(^z 2 )=-mentioning

confidence: 99%

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A Simple Method for Computation of the Quantization Error for n-D Denominator Separable z-Transforms

Raghuramireddy¹,

Unbehauen²

1992

Frequenz

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The determination of the variance of the quantization error in multidimensional (η-D) digital filters involves the computation of the infinite square sum 00 00 00 J= Σ Σ -Σ y 2 (m 1 ,m 2 ,...,m.). m, = Ο »12 = Ο «ι.=ΟΑ simple method is presented for evaluating J based on the residue method using a partial fraction expansion in case of a denominator-separable z-transform y(z, , z 2 ..... z") which is assumed causal, rational and BIBO stable. The value of J is evaluated as a sum of simple integrals and these integrals are tabulated for ready reference. Further, simple formulas are presented for J in terms of the literal coefficients for lower order 2-D denominator-separable z-transforms.bersicht: Die Ermittlung der Varianz des Quantisierungsfehlers bei mehrdimensionalen (η-D) Digitalfiltern erfordert die Berechnung der unendlichen Quadratsumme «O 00 00 J= Σ Σ -Σ /("i lt m 2 ,...,mj. mi=Omj = 0 «» = 0 Es wird eine einfache Methode zur Berechnung von J vorgeschlagen, und zwar aufgrund der Residuenmethode mittels einer Partialbruchentwicklung f r den Fall einer nennerseparierbaren z-Transformieiten Ύ(ζ ι , ζ 2 , ··., z"), die als kausal, rational und BIBO-stabil angenommen wird. Der Wert von J wird als Summe einfacher Integrale berechnet, wobei diese Integrale zur praktischen Anwendung tabelliert sind. Weiterhin werden einfache Formeln f r J in Abh ngigkeit der symbolischen Koeffizienten f r 2-D nennerseparierbare z-Transformierte niederer Ordnung entwickelt F r die Dokumentation: Mehrdimensionale Signalverarbeitung / Quantisierungsrauschen / Filterung

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Section: The Difference Equation Which Governs (3) Can Be Described Asmentioning

confidence: 84%

Section: The Difference Equation Which Governs (3) Can Be Described Asmentioning

confidence: 99%

See 1 more Smart Citation

A Simple Method for Computation of the Quantization Error for n-D Denominator Separable z-Transforms

Raghuramireddy¹,

Unbehauen²

1992

Frequenz

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A note on evaluation of the quantization error in denominator-separable 2-D recursive filters

Zilouchian

Huang

1994

IEEE Trans. Signal Process.

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Quantization error calculation of various realizations of 2-D separable-in-denominator recursive filters

Wang

Bai

Zilouchian

2015

2015 IEEE International Symposium on Circuits and Systems (ISCAS)

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Evaluation of the quantization error in denominator-separable 2-D recursive filters

Cited by 4 publications

References 11 publications

A Simple Method for Computation of the Quantization Error for n-D Denominator Separable z-Transforms

A Simple Method for Computation of the Quantization Error for n-D Denominator Separable z-Transforms

A note on evaluation of the quantization error in denominator-separable 2-D recursive filters

Quantization error calculation of various realizations of 2-D separable-in-denominator recursive filters

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