Nothing Special   »   [go: up one dir, main page]
Skip to main content
Springer Nature Link
Log in

On the Realization of Multiphase Oscillators Using Fractional-Order Allpass Filters

  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

Abstract

In this paper multiphase oscillators built using fractional-order allpass filters are presented. We examine the theory behind their operation and demonstrate their usefulness in the design of both multiphase and quadrature oscillators. Case design examples are given for various scenarios, while PSPICE and experimental results verify their operation

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. W. Ahmad, R. El-khazali, A.S. Elwakil, Fractional-order Wien-bridge oscillator. Electron. Lett. 37(18), 1110–1112 (2001)

    Article  Google Scholar 

  2. P. Butzer, U. Westphal, An Introduction to Fractional Calculus (Singapore, World Scientific, 2000)

    Google Scholar 

  3. G.E. Carlson, C.A. Halijak, Approximation of fractional capacitors (1/s)1/n by regular newton process. IEEE Trans. Circuit Theory CT-11(2), 210–213 (1964)

    Google Scholar 

  4. S.L.J. Gierkink, S. Levantino, R.C. Frye, C. Samori, V. Boccuzzi, A low-phase-noise 5-GHz CMOS quadrature VCO using superharmonic coupling. IEEE J. Solid-State Circuits 38(7), 1148–1154 (2003)

    Article  Google Scholar 

  5. S.J.G. Gift, Application of all-pass filters in the design of multiphase sinusoidal systems. Microelectron. J. 31(1), 9–13 (2000)

    Article  Google Scholar 

  6. S.J.G. Gift, Multiphase sinusoidal oscillator using inverting-mode operational amplifiers. IEEE Trans. Instrum. Meas. 47(4), 986–991 (1998)

    Article  Google Scholar 

  7. C.T. Haba, G.L. Loum, G. Ablart, An analytical expression for the input impedance of a fractal tree obtained by a microelectronical process and experimental measurements of its non-integral dimension. Chaos Solitons Fractals 33(2), 364–373 (2007)

    Article  Google Scholar 

  8. T.C. Haba, G.L. Loum, J.T. Zoueu, G. Ablart, Use of a component with fractional impedance in the realization of an analogical regulator of order 1/2. J. Appl. Sci. (Pakistan) 8(1), 59–67 (2008)

    Article  Google Scholar 

  9. B.T. Krishna, K.V.V.S. Reddy, Active and passive realization of Fractance device of order 1/2. Act. Passive Electron. Compon. (2008)

  10. M. Kumngern, J. Chanwutitum, K. Dejhan, Electronically tunable multiphase sinusoidal oscillator using translinear current conveyors. Analog Integr. Circuits Signal Process. 65(2), 327–334 (2010)

    Article  Google Scholar 

  11. M.N. Kuperman, D.H. Zanette, Synchronization of multi-phase oscillators: An Axelrod-inspired model. Eur. Phys. J. B 70(2), 243–248 (2009)

    Article  Google Scholar 

  12. H. Lee, O. Kim, G. Ahn, D. Jeong, A Low jitter 5000 ppm spread spectrum clock generator for multi-channel SATA transceiver in 0.18 µm CMOS, in IEEE ISSCC Dig. Tech. Papers (2005), pp. 162–163

    Google Scholar 

  13. G. Li, E. Afshari, A low-phase-noise multi-phase oscillator based on left-handed LC-ring. IEEE J. Solid-State Circuits 45(9), 1822–1833 (2010)

    Article  Google Scholar 

  14. B. Maundy, A. Elwakil, S. Gift, On a multivibrator that employs a fractional capacitor. Analog Integr. Circuits Signal Process. 62(1), 99–103 (2010)

    Article  Google Scholar 

  15. S. Ozoguz, T.M. Abdelrahman, E.S. Elwakil, Novel approximate square-root domain all-pass filter with application to multiphase oscillators. Analog Integr. Circuits Signal Process. (Netherlands) 46(3), 297–301 (2006)

    Article  Google Scholar 

  16. N. Prommee, P. Sra-ium, K. Dejhan, High-frequency log-domain current-mode multiphase sinusoidal oscillator. IEE Circuits Devices Syst. 4, 440–448 (2010)

    Article  Google Scholar 

  17. A.G. Radwan, A.M. Soliman, A.S. Elwakil, Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples. Int. J. Circuit Theory Appl. 36(4), 473–492 (2008)

    Article  MATH  Google Scholar 

  18. A.G. Radwan, A.M. Soliman, A.S. Elwakil, First-order filters generalized to the fractional domain. J. Circuits Syst. Comput. 17(1), 55–66 (2008)

    Article  Google Scholar 

  19. A. Gomaa Radwan, A.S. Elwakil, A.M. Soliman, Fractional-order sinusoidal oscillators: Design procedure and practical examples. IEEE Trans. Circuits Syst. I, Regul. Pap. 55(7), 2051–2063 (2008)

    Article  MathSciNet  Google Scholar 

  20. Behzad Razavi, Rf transmitter architectures and circuits, in Proceedings of the Custom Integrated Circuits Conference (1999), pp. 197–204

  21. G. Souliotis, C. Psychalinos, Electronically controlled multiphase sinusoidal oscillators using current amplifiers. Int. J. Circuit Theory Appl. 37(1), 43–52 (2009)

    Article  Google Scholar 

  22. M. Sugi, Y. Hirano, Y.F. Miura, K. Saito, Simulation of fractal immittance by analog circuits: An approach to the optimized circuits. Commun. Comput. Sci. E82-A(8), 1627–1635 (1999)

    Google Scholar 

  23. M.S. Tavazoei, M. Haeri, Rational approximations in the simulation and implementation of fractional-order dynamics: A descriptor system approach. Automatica 46(1), 94–100 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  24. J.V. Vosper, Synthesis of first-order active-R allpass networks and their application in sinusoidal oscillator design. Electron. Lett. 27(1), 53–55 (1991)

    Article  Google Scholar 

  25. D.-S. Wu, S.-I. Liu, Y.-S. Hwang, Y.-P. Wu, Multiphase sinusoidal oscillator using the CFOA pole. IEE Proc., Circuits Devices Syst. 142(1), 37–40 (1995)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. N.W., Calgary, Alberta, Canada, T2N 1N4

    Brent Maundy

  2. Department of Electrical & Computer Engineering, University of Sharjah, P.O. Box 27272, Sharjah, United Arab Emirates

    Ahmed Elwakil

  3. Department of Electrical and Computer Engineering, University of the West Indies, St. Augustine, Trinidad

    Stephan Gift

Authors
  1. Brent Maundy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ahmed Elwakil
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Stephan Gift
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Brent Maundy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maundy, B., Elwakil, A. & Gift, S. On the Realization of Multiphase Oscillators Using Fractional-Order Allpass Filters. Circuits Syst Signal Process 31, 3–17 (2012). https://doi.org/10.1007/s00034-010-9235-z

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-010-9235-z

Keywords

Search

Navigation