Second order compensation scheme for Haven’s technique to annul amplitude and phase mismatch for quadrature circuits

  • D. VarunEmail author
  • Dipayan Mazumdar
  • Govind R. Kadambi


This paper, elucidates a second order Haven’s technique for generation of a pair of sinusoids in perfect quadrature phase. The effects of input amplitude mismatch on output phase mismatch and vice versa have been expounded. The proposed second order Haven’s Technique essentially estimates and corrects the amplitude and phase mismatches. This method aids in correcting amplitude and phase mismatch of any arbitrary magnitude. The developed technique is valid for mismatches occurring in both narrow band as well as wideband. Separate closed form expressions for compensation of both input amplitude and input phase mismatches have been derived. This study facilitates to determine the magnitude of phase angle error for a given amplitude mismatch and vice versa. Error plots for Haven’s technique have been generated and analysed. It is depicted that for every 1% of amplitude mismatch the phase mismatch increases by 0.6 degrees. The developed technique is modelled and simulated using available EDA tool for narrow band as well as wideband signals. The simulation results of the proposed technique confirm that for both narrow band and wideband signals, the input amplitude as well as phase mismatches are annulled completely. The developed Haven’s technique can find potential utility in implementation of Image Reject Mixer Architectures and Quadrature Oscillators for generation of quadrature waveforms.


Phase mismatch Amplitude mismatch Haven’s technique Quadrature Down-conversion 


  1. 1.
    Razavi, B. (2001). RF microelectronics (1st ed.). Upper Saddle River: Prentice Hall.Google Scholar
  2. 2.
    Joo, R. A. (2004). Frequency generation techniques for integrated applications. Ph.D. Thesis, California Institute of Technology.Google Scholar
  3. 3.
    Lo, C. W., & Luong, H. C. (1999). 2-V 900-Mhz quadrature coupled LC oscillators with improved amplitude and phase matchings (Category 1.1). ISCAS conference.Google Scholar
  4. 4.
    Younus, M. I. (2004). Circuit design for low voltage wireless receiver with improved image rejection. Ph.D. Thesis, School of The Ohio State University.Google Scholar
  5. 5.
    Oliveira, L. B., Fernandes, J. R., Filanovsky, I. M., Verhoeven, C. J. M., & Silva, M. M. (2008). Analysis and design of quadrature oscillators analog circuits and signal processing (2nd ed.). Berlin: Springer.Google Scholar
  6. 6.
    Myoung, S.-S., Lee, I.-K., Lim, K., Yook, J. G., & Laskar, J. (2008). Mismatch detection and compensation algorithm with the closed form solution for the LINC system implementation. In Microwave symposium digest, 2008 IEEE MTT-S international (pp. 939–942). IEEE.Google Scholar
  7. 7.
    Garcia, P., Ortega, A., de Mingoand, J., & Valdovinos, A. (2005). Nonlinear distortion cancellation using LINC transmitters in OFDM systems. IEEE Transactions on Broadcasting, 51, 84–93.CrossRefGoogle Scholar
  8. 8.
    Zhang, X., Larson, L. E., Asbeck, P. M., & Nanawa, P. (2001). Gain/phase imbalance-minimization techniques for LINC transmitter. IEEE Transactions on Microwave Theory and Technology, 49, 2507–2516.CrossRefGoogle Scholar
  9. 9.
    Zhang, X., & Larson, L. E. (2000). Gain and phase error-free LINC transmitter. IEEE Transactions on Vehicular Technology, 49, 1986–1994.CrossRefGoogle Scholar
  10. 10.
    Hur, J., et al. (2010). A novel unbalanced phase calibration technique for the LINC transmitter. Radio and wireless symposium (RWS), 2010 IEEE. IEEE.Google Scholar
  11. 11.
    Sen, S., Devarakond, S. K., & Chatterjee, A. (2010). DSP assisted low cost IQ mismatch measurement and compensation using built in power detector. In Microwave symposium digest (MTT), 2010 IEEE MTT-S international. IEEE.Google Scholar
  12. 12.
    Peng, C.-H., et al. (2012). Joint TX/RX IQ mismatch compensation based on a low-IF internal feedback architecture. In Vehicular technology conference (VTC Fall), 2012 IEEE. IEEE.Google Scholar
  13. 13.
    Naraharisetti, N., Sleiman, B.-S., & Ismail, M. (2011). Mixed-mode I/Q mismatches compensation in low-IF quadrature receivers. In 2011 18th IEEE international conference on electronics, circuits and systems (ICECS). IEEE.Google Scholar
  14. 14.
    Zhang, Z. (2005). Analysis, design and optimization of RF CMOS polyphase filters. Ph.D. Thesis, University of Duisburg-Essen.Google Scholar
  15. 15.
    Chang, T.-Y., & Bibyk, S. B. (1999). Combined Hartley image-reject receiver with bandpass delta-sigma modulator. Analog integrated circuits and signal processing (1st ed.). Amsterdam: Kluwer.Google Scholar
  16. 16.
    Yang, J.-R. (2014). Measurement of amplitude and phase differences between two RF signals by using signal power detection. IEEE Microwave and Wireless Components Letters, 24(3), 206–208.CrossRefGoogle Scholar
  17. 17.
    Chow, J. (2002). RF image-reject receivers. University of Toronto, Faculty of Applied Science & Engineering.Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Electronic and Communication EngineeringRamaiah University of Applied SciencesBangaloreIndia

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