On the minimal realization of 2D Roger-Ramanujan CFE systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper a two-dimensional (2D) minimal circuit and state space realization is presented for a 2D continued fraction expansion of Roger-Ramanujan type. The proposed state space realization is based on the corresponding circuit implementation. For the state-space realization the 2D Roesser model of cycled structure is used. The dimension of the state vector, of the state space model, and the number of the delay elements, of the circuit realization, are absolutely minimal. Also minimal are the number of required multipliers. A step-by-step example is presented to illustrate the proposed results.

Original languageEnglish
Title of host publicationISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings
Pages471-474
Number of pages4
DOIs
StatePublished - 15 Sep 2011
EventInternational Symposium on Signals, Circuits and Systems, ISSCS 2011 - Iasi, Romania
Duration: 30 Jun 20111 Jul 2011

Publication series

NameISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings

Other

OtherInternational Symposium on Signals, Circuits and Systems, ISSCS 2011
CountryRomania
CityIasi
Period30/06/111/07/11

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Networks (circuits)

Cite this

Antoniou, G. (2011). On the minimal realization of 2D Roger-Ramanujan CFE systems. In ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings (pp. 471-474). [5978761] (ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings). https://doi.org/10.1109/ISSCS.2011.5978761
Antoniou, George. / On the minimal realization of 2D Roger-Ramanujan CFE systems. ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings. 2011. pp. 471-474 (ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings).
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Antoniou, G 2011, On the minimal realization of 2D Roger-Ramanujan CFE systems. in ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings., 5978761, ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings, pp. 471-474, International Symposium on Signals, Circuits and Systems, ISSCS 2011, Iasi, Romania, 30/06/11. https://doi.org/10.1109/ISSCS.2011.5978761

On the minimal realization of 2D Roger-Ramanujan CFE systems. / Antoniou, George.

ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings. 2011. p. 471-474 5978761 (ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Antoniou G. On the minimal realization of 2D Roger-Ramanujan CFE systems. In ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings. 2011. p. 471-474. 5978761. (ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings). https://doi.org/10.1109/ISSCS.2011.5978761