Symbolic analysis of analog circuits containing voltage mirrors and current mirrors

The pathological elements voltage mirror (VM) and current mirror (CM) have shown advantages in analog behavioral modeling and circuit synthesis, where many nullor-mirror equivalences have been explored to design and to transform voltage-mode circuits to current-mode ones and viceversa. However, both the VM and CM have not equivalents to perform automatic symbolic circuit analysis. In this manner, we introduce nullor-equivalents for these pathological elements allowing to include parasitics and to perform only symbolic nodal analysis. The nullor-equivalent of the CM is extended to provide multiple-outpus (MO-CM). Finally, two active filters containing VMs, CMs and MO-CMs are analysed to show the usefulness of the models.

[1]  Rogelio Palomera-Garcia Generation of equivalent circuits by FTFN relocation , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[2]  Georges Gielen,et al.  Efficient DDD-based symbolic analysis of linear analog circuits , 2002 .

[3]  Ahmed M. Soliman,et al.  On the Voltage Mirrors and the Current Mirrors , 2002 .

[4]  C.-J. Richard Shi,et al.  A Graph Reduction Approach to Symbolic Circuit Analysis , 2007, 2007 Asia and South Pacific Design Automation Conference.

[5]  Raj Senani,et al.  Bibliography on Nullors and Their Applications in Circuit Analysis, Synthesis and Design , 2002 .

[6]  H. Ur,et al.  Nullor equivalent networks of nonideal operational amplifiers and voltage-controlled sources , 1980 .

[7]  Ahmed M. Soliman,et al.  Novel CMOS realizations of the inverting second-generation current conveyor and applications , 2007 .

[8]  Esteban Tlelo-Cuautle,et al.  Automatic Synthesis of VFs and VMs by Applying Genetic Algorithms , 2008 .

[9]  Kamil Vrba,et al.  Current conveyors-based circuits using novel transformation method , 2007, IEICE Electron. Express.

[10]  Sheldon X.-D. Tan,et al.  Symbolic analysis and reduction of VLSI circuits , 2004 .

[11]  Ahmed M. Soliman,et al.  The voltage mirror–current mirror pair as a universal element , 2010, Int. J. Circuit Theory Appl..

[12]  I. A. Awad,et al.  Inverting second generation current conveyors: the missing building blocks, CMOS realizations and applications , 1999 .

[13]  Georges G. E. Gielen,et al.  Circuit simplification for the symbolic analysis of analogintegrated circuits , 2002, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[14]  Ahmed M. Soliman,et al.  A new approach for using the pathological mirror elements in the ideal representation of active devices , 2010, Int. J. Circuit Theory Appl..

[15]  George Souliotis,et al.  Current-mode filters based on current mirror arrays , 2008, Int. J. Circuit Theory Appl..

[16]  Rob A. Rutenbar,et al.  Canonical Symbolic Analysis of Large Analog Circuits with Determinant Decision Diagrams , 2002 .

[17]  Ahmed M. Soliman,et al.  Use of Mirror Elements in the Active Device Synthesis by Admittance Matrix Expansion , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Ahmed M. Soliman,et al.  On the Dvcc and the Boccii as Adjoint Elements , 2009, J. Circuits Syst. Comput..

[19]  Domenico Zito A novel low-power receiver topology for RF and microwave applications , 2009 .

[20]  Ahmed M. Soliman,et al.  Adjoint Network Theorem and Floating Elements in the NAM , 2009, J. Circuits Syst. Comput..

[21]  Chun-Yueh Huang,et al.  Characteristic Investigation of New Pathological Elements , 2005 .

[22]  George S. Moschytz,et al.  Nullators and norators in voltage to current mode transformations , 1993, Int. J. Circuit Theory Appl..

[23]  Alfonso Carlosena,et al.  Unified approach to the implementations of universal active devices , 1994 .

[24]  Ahmed M. Soliman,et al.  Generation, modeling, and analysis of CCII‐based gyrators using the generalized symbolic framework for linear active circuits , 2008, Int. J. Circuit Theory Appl..

[25]  Worapong Tangsrirat,et al.  Electronically tunable low-component-count current-mode biquadratic filter using dual-output current followers , 2007 .

[26]  Sheldon X.-D. Tan Symbolic Analysis of Analog Circuits By Boolean Logic Operations , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[27]  Chun-Yueh Huang,et al.  Rearrangement of mirror elements , 2006 .

[28]  Maneesha Gupta,et al.  Low voltage current mirrors with enhanced bandwidth , 2009 .

[29]  Esteban Tlelo-Cuautle,et al.  Synthesis of CCII-s by superimposing VFs and CFs through genetic operations , 2008, IEICE Electron. Express.

[30]  D. Biolek,et al.  Active Elements for Analog Signal Processing: Classification, Review, and New Proposals , 2008 .

[31]  R. Senani,et al.  Improved grounded-capacitor SRCO using only a single PFTFN , 2007 .

[32]  M. Pierzchala,et al.  Generation of sequential symbolic network functions for large-scale networks by circuit reduction to two-port , 2001 .

[33]  Ahmed M. Soliman,et al.  Voltage mode and current mode Tow Thomas bi‐quadratic filters using inverting CCII , 2007, Int. J. Circuit Theory Appl..

[34]  Esteban Tlelo-Cuautle,et al.  Design of Current-Mode Gm-C Filters from the Transformation of Opamp-RC Filters , 2007 .

[35]  Esteban Tlelo-Cuautle,et al.  Evolutionary Electronics: Automatic Synthesis of Analog Circuits by GAs , 2008 .

[36]  Sheldon X.-D. Tan,et al.  Symbolic formulation method for mixed-mode analog circuits using nullors , 2009, 2009 16th IEEE International Conference on Electronics, Circuits and Systems - (ICECS 2009).

[37]  Ahmed M. Soliman,et al.  The inverting second generation current conveyors as universal building blocks , 2008 .

[38]  Esteban Tlelo-Cuautle,et al.  Symbolic behavioral model generation of current-mode analog circuits , 2009, 2009 IEEE International Symposium on Circuits and Systems.

[39]  Esteban Tlelo-Cuautle,et al.  Synthesis of Analog Circuits by Genetic Algorithms and their Optimization by Particle Swarm Optimization , 2010, Intelligent Systems for Automated Learning and Adaptation.

[40]  Sang-Gug Lee,et al.  A 1-V low power gain boosted self-cascoding current mirror operational transconductance amplifier , 2009 .

[41]  Ahmed M. Soliman Voltage mode and current mode Tow Thomas bi-quadratic filters using inverting CCII: Letter to the Editor , 2007 .

[42]  Carlos Sánchez-López,et al.  Symbolic analysis of (MO)(I)CCI(II)(III)‐based analog circuits , 2010, Int. J. Circuit Theory Appl..