Generation of Third-Order quadrature oscillator Circuits using NAM Expansion

A systematic synthesis procedure for generating third-order grounded passive element quadrature oscillators is given. The synthesis procedure is based on using nodal admittance matrix (NAM) expansion applied to the Y matrix of a recently reported three Op Amp third-order oscillator circuit. Four new circuits using current conveyors (CCII) are reported. In addition four more new circuits using inverting current conveyors (ICCII) are also given. Many more quadrature third-order oscillator circuits using combinations of CCII and ICCII can be obtained. Simulation results demonstrating the practicality of one of the generated circuits are included.

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

[2]  M. Swamy,et al.  Network transposition and its application in synthesis , 1971, IEEE Transactions on Circuit Theory.

[3]  David G. Haigh,et al.  Symbolic Framework for Linear Active Circuits Based on Port Equivalence Using Limit Variables , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  Ahmed M. Soliman,et al.  Generation, modeling, and analysis of CCII-based gyrators using the generalized symbolic framework for linear active circuits , 2008 .

[5]  K. Smith,et al.  A second-generation current conveyor and its applications , 1970, IEEE Transactions on Circuit Theory.

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

[7]  H. Carlin,et al.  Singular Network Elements , 1964 .

[8]  Walter J. Riker.  A Review of J , 2010 .

[9]  Ahmed M. Soliman,et al.  A New Approach to Obtain Alternative Active Building Blocks Realizations based on their Ideal Representations , 2000 .

[10]  Hassan Elwan,et al.  Novel CMOS differential voltage current conveyor and its applications , 1997 .

[11]  A. Fabre.  Insensitive voltage-mode and current-mode filters from transimpedance opamps , 1995 .

[12]  Brian D. O. Anderson.  Oscillator design problem , 1971 .

[13]  Christos Papavassiliou,et al.  Systematic Synthesis of Active-RC Circuit Building-Blocks , 2005 .

[14]  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.

[15]  Ahmed M. Soliman,et al.  Generation of current conveyor based oscillators using nodal admittance matrix expansion , 2010 .

[16]  H. Carlin,et al.  Guest Editorial-Unconventional Network Theory , 1964 .

[17]  David G. Haigh,et al.  Admittance Matrix Models for the Nullor Using Limit Variables and Their Application to Circuit Design , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Ahmed M. Soliman.  Transformation of oscillators using Op Amps, unity gain cells and CFOA , 2010 .

[19]  Jiun-Wei Horng,et al.  Quadrature Oscillators Using Operational Amplifiers , 2011 .

[20]  David G. Haigh.  A Method of Transformation from Symbolic Transfer Function to Active-RC Circuit by Admittance Matrix Expansion , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[21]  Ahmed M. Soliman,et al.  Two integrator loop quadrature oscillators: A review , 2012, Journal of advanced research.

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

[23]  Shen-Iuan Liu,et al.  CMOS differential difference current conveyors and their applications , 1996 .