Wave digital biquads derived from RC-active configurations

Eswaran, C.; Ganapathy, V.; Antoniou, A.

doi:10.1109/tcs.1984.1085585

Cited by 11 publications

(4 citation statements)

References 9 publications

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“…The partial transfer functions for the VGIC and TVGIC structures are given in Table 1. For a realization comprising m cascaded VGIC sections, the relative power spectrum density (RPSD) of the output noise can be shown to be Table 1 Transfer functions for VGIC and TVGIC structures The scaUng constants \j are calculated by using the formula Xj = -i ^ ) (18) …”

Section: Roundoff Noise Analysismentioning

confidence: 99%

Digital-filter structures based on the concept of the voltage-conversion generalized-immittance converter

Diniz

Antoniou

1988

Can. J. Electr. Comput. Eng.

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By using the concept of the voltage-conversion generalized-immittance converter, a general biquadratic digital-filter structure is obtained which can realize all the standard, second-order, digital-filter sections. Then, through the application of the principle of transposition, a multiple-output structure is obtained which can realize either individually or simultaneously, all the standard second-order digital-filter sections. The proposed structures can be stabilized with respect to limit-cycle oscillations. Further, the structures obtained by transposition have the unique property of allowing a choice between the elimination of limit cycles and the reduction of roundoff noise. The paper concludes with a comparison of the proposed structures relative to the direct canonic and section-optimal structures with respect to output roundoff noise and sensitivity. Une structure generate de filtre numerique biquadratique, qui realise toutes les sections d'un filtre numSrique de 2 C ordre standard, est obtenue en utilisant le concept de conversion-tension du convertisseur d'immitance generalise. Alors une structure a sorties multiples, pouvant realiser individuellement ou simultanement toutes les sections d'unfiltre numerique de 2 e ordre, est obtenue par l'application du principe de transposition. Les structures ainsi obtenues peuvent §tre stabilisees par rapport aux oscillations de cycle limite. De plus, les structures obtenues par transposition ont la propriete unique qu'un choix peut 6tre fait entre l'elimination des cycles limites et la reduction du bruit d'arrondissement. L'article conclut en comparant la structure proposee a la forme canonique directe et aux structures a section-optimale par rapport au bruit d'arrondissement de sorte et a la sensibilite. V x (s) = r(s)V 2 (s) /,(*) = -I 2 (s) Can.

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Section: Roundoff Noise Analysismentioning

confidence: 99%

Digital-filter structures based on the concept of the voltage-conversion generalized-immittance converter

Diniz

Antoniou

1988

Can. J. Electr. Comput. Eng.

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“…It may be sufficient that the norm does not increase. 518 ICASSP 86, TOKYO (7) if there exists a positive diagonal matrix D for which D_ATDA is positive semi-definite.…”

Section: Zero-input Limit Cyclesmentioning

confidence: 99%

“…Unfortunately, all these circuits don't satisfy the sufficient condition (7), and limit cycles may occur. In this section, the method described in the preceding chapter is applied to these forms of transfer functions to derive new circuit structures which satisfy (7).…”

Section: Design Examplesmentioning

confidence: 99%

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Design of limit-cycle-free digital biquad filters

Nishihara

ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing

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A sufficient condition for the absence of limit cycle oscillations is studied, and a new relaxed condtion is proposed.Then a method to derive digital filter structures, which satisfy this condition, from a given form of second-order transfer function is presented.Several new structures have been obtained by applying the method to some transfer functions which are determined using certain criteria such as sensitivity.

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Application of ANSWICAP: computer-aided symbolic analysis of digital filters

Duque-Carrillo

Peña-Bernal

1987

International Journal of Electronics

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Wave digital biquads derived from RC-active configurations

Cited by 11 publications

References 9 publications

Digital-filter structures based on the concept of the voltage-conversion generalized-immittance converter

Digital-filter structures based on the concept of the voltage-conversion generalized-immittance converter

Design of limit-cycle-free digital biquad filters

Application of ANSWICAP: computer-aided symbolic analysis of digital filters

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