access icon free Evaluation of error vector magnitude due to combined IQ imbalances and phase noise

Novel closed form expressions for the error vector magnitude (EVM) are presented. The expressions combine the in-phase quadrature (IQ) amplitude and phase imbalances and the DC offsets along with the phase noise. Both the Gaussian and the Tikhonov probability density functions are utilised for the oscillator phase noise distribution. The explicit conditions when the EVM computations based on the Tikhonov distribution converge to a Gaussian based are investigated. Furthermore, the application of the proposed EVM expressions is demonstrated by including phase noise masks, providing a direct means to the phase locked loop/voltage controlled oscillator design parameters. The measurements are used to validate the proposed expressions.

Inspec keywords: circuit noise; probability; vectors; Gaussian processes; phase noise; phase locked loops; phase locked oscillators

Other keywords: closed form expression; IQ amplitude imbalance; DC offset; error vector magnitude evaluation; oscillator phase noise distribution; Gaussian function; IQ phase imbalance; phase locked loop-voltage controlled oscillator design parameter; EVM; Tikhonov probability density function

Subjects: Other topics in statistics; Oscillators; Algebra; Modulators, demodulators, discriminators and mixers

References

    1. 1)
    2. 2)
      • 22. Agilent Technologies: ‘Vector Signal Analysis Basics’, Application Note 150-15, Literature Number 5989-1121EN (Agilent 2004). Available at http://www.cp.literature.agilent.com/litweb/pdf/5989-1121EN.pdf accessed January 2014.
    3. 3)
    4. 4)
    5. 5)
    6. 6)
    7. 7)
    8. 8)
      • 3. Mckinley, M.D., Remley, K.A., Myslinski, M., et al: ‘EVM calculation for broadband modulated signals’. 64th ARFTG Microwave Measurements Conf. Digest, Orlando, USA, December 2004, pp. 4552.
    9. 9)
    10. 10)
      • 16. Evans, M., Hastings, N., Peacock, B.: ‘Statistical distributions’ (Wiley-Interscience, 2000, 3rd edn.).
    11. 11)
      • 21. Abramowitz, M., Stegun, I.: ‘Handbook of mathematical functions’ (Dover, 1970).
    12. 12)
    13. 13)
    14. 14)
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
    20. 20)
    21. 21)
    22. 22)
    23. 23)
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cds.2013.0338
Loading

Related content

content/journals/10.1049/iet-cds.2013.0338
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading