Skip to main content

Part of the book series: Analog Circuits and Signal Processing ((ACSP))

  • 812 Accesses

Abstract

In this chapter, we present a DTC-based fractional-N subsampling PLL that operates without performance gap between integer-N and fractional-N modes. This is achieved thanks to the digital background cancellation of nonlinearities in the PLL phase-error comparison path. This −247-dB FOM PLL is further enhanced for two-point, wideband phase modulation, achieving <−40-dB EVM around a 10-GHz carrier during 10-Mb/s GMSK modulation. Analog nonidealities, such as gain imbalance or nonlinearity in the digital-to-modulated phase conversion, are background cancelled, ensuring robust operation with PVT. This system demonstrates state-of-the-art performance in nanoscale CMOS for fractional-N synthesis and phase modulation.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Alternatively, it is possible to track the sampled voltage. However, in the presence of transconductor offset, the sampled voltage is no longer a valid representation of the phase error. The Type-2 Subsampling loop settles in a zero-phase-offset condition which translates to a zero-current state and not in the zero-sampled-voltage state [Gao10].

References

  1. Z. Boos, A. Menkhoff, F. Kuttner, M. Schimper, J. Moreira, H. Geltinger, T. Gossmann, P. Pfann, A. Belitzer, T. Bauernfeind, A fully digital multimode polar transmitter employing 17b RF DAC in 3G mode, in 2011 IEEE International Solid-State Circuits Conference Digest of Technical Papers (ISSCC) (IEEE, Piscataway, 2011), pp. 376–378

    Google Scholar 

  2. J. Borremans, K. Vengattaramane, V. Giannini, J. Craninckx, A 86MHz-to-12GHz digital-intensive phase-modulated fractional-N PLL using a 15pJ/Shot 5ps TDC in 40nm digital CMOS, in 2010 IEEE International Solid-State Circuits Conference Digest of Technical Papers (ISSCC) (IEEE, Piscataway, 2010), pp. 480–481

    Google Scholar 

  3. Z.-Z. Chen, Y.-H. Wang, J. Shin, Y. Zhao, S.A. Mirhaj, Y.-C. Kuan, H.-N. Chen, C.-P. Jou, M.-H. Tsai, F.-L. Hsueh et al., 14.9 Sub-sampling all-digital fractional-N frequency synthesizer with -111dBc/Hz in-band phase noise and an FOM of -242dB, in 2015 IEEE International Solid-State Circuits Conference-(ISSCC) (IEEE, Piscataway, 2015), pp. 1–3

    Google Scholar 

  4. C. Dürdodt, M. Friedrich, C. Grewing, M. Hammes, A. Hanke, S. Heinen, J. Oehm, D. Pham-Stäbner, D. Seippel, D. Theil et al., A low-IF Rx two-point Sigma-Delta modulation Tx CMOS single-chip bluetooth solution. IEEE Trans. Microwave Theory Tech. 49(9), 1531–1537 (2001)

    Article  Google Scholar 

  5. X. Gao, E. Klumperink, M. Bohsali, B. Nauta, A low noise sub-sampling PLL in which divider noise is eliminated and PD/CP noise is not multiplied by N 2. IEEE J. Solid State Circuits 44(12), 3253–3263 (2009)

    Article  Google Scholar 

  6. X. Gao, E. Klumperink, P. Geraedts, B. Nauta, Jitter analysis and a benchmarking figure-of-merit for phase-locked loops. IEEE Trans. Circuits Syst. Express Briefs 56(2), 117–121 (2009)

    Article  Google Scholar 

  7. X. Gao, E. Klumperink, G. Socci, M. Bohsali, B. Nauta, Spur reduction techniques for phase-locked loops exploiting a sub-sampling phase detector. IEEE J. Solid State Circuits 45(9), 1809–1821 (2010)

    Article  Google Scholar 

  8. X. Gao, O. Burg, H. Wang, W. Wu, C.-T. Tu, K. Manetakis, F. Zhang, L. Tee, M. Yayla, S. Xiang et al., 9.6 A 2.7-to-4.3 GHz, 0.16 psrms-jitter, -246.8 dB-FOM, digital fractional-N sampling PLL in 28nm CMOS, in 2016 IEEE International Solid-State Circuits Conference (ISSCC) (IEEE, Piscataway, 2016), pp. 174–175

    Google Scholar 

  9. P.-C. Huang, W.-S. Chang, T.-C. Lee, 21.2 A 2.3 GHz fractional-N dividerless phase-locked loop with -112dBc/Hz in-band phase noise, in 2014 IEEE International Solid-State Circuits Conference Digest of Technical Papers (ISSCC) (IEEE, Piscataway, 2014), pp. 362–363

    Google Scholar 

  10. C. Hung, R.B. Staszewski, N. Barton, M. Lee, D. Leipold, A digitally controlled oscillator system for SAW-less transmitters in cellular handsets. IEEE J. Solid State Circuits 41(5), 1160 (2006)

    Article  Google Scholar 

  11. A.L. Lacaita, S. Levantino, C. Samori, Integrated Frequency Synthesizers for Wireless Systems. (Cambridge University Press, New York, 2007)

    Google Scholar 

  12. S. Levantino, G. Marzin, C. Samori, An adaptive pre-distortion technique to mitigate the DTC nonlinearity in digital PLLs. IEEE J. Solid State Circuits 49(8), 1762–1772 (2014)

    Article  Google Scholar 

  13. X. Li, L. Sitao, X. Liu, N. Xu, W. Rhee, W. Jia, Z. Wang, A 10 Mb/s hybrid two-point modulator with front-end phase selection and dual-path DCO modulation, in 2015 IEEE International Wireless Symposium (IWS) (IEEE, Piscataway, 2015), 1–4

    Google Scholar 

  14. B. Malki, T. Yamamoto, B. Verbruggen, P. Wambacq, J. Craninckx, A 70 dB DR 10 b 0-to-80 MS/s current-integrating SAR ADC with adaptive dynamic range. IEEE J. Solid State Circuits 49(5), 1173–1183 (2014)

    Article  Google Scholar 

  15. N. Markulic, K. Raczkowski, P. Wambacq, J. Craninckx, A 10-bit, 550-fs step Digital-to-Time Converter in 28nm CMOS, in ESSCIRC 2014 - 40th European Solid State Circuits Conference (ESSCIRC), Sept 2014, pp. 79–82 (2014)

    Google Scholar 

  16. N. Markulic, K. Raczkowski, E. Martens, P.E.P. Filho, B. Hershberg, P. Wambacq, J. Craninckx, 9.7 A self-calibrated 10Mb/s phase modulator with -37.4dB EVM based on a 10.1-to-12.4GHz, -246.6dB-FOM, fractional-N subsampling PLL, in 2016 IEEE International Solid-State Circuits Conference (ISSCC), Jan 2016, pp. 176–177 (2016)

    Google Scholar 

  17. N. Markulic, K. Raczkowski, E. Martens, P.E.P. Filho, B. Hershberg, P. Wambacq, J. Craninckx, A DTC-based subsampling PLL capable of self-calibrated fractional synthesis and two-point modulation. IEEE J. Solid State Circuits 51(12), 3078–3092 (2016)

    Article  Google Scholar 

  18. G. Marzin, S. Levantino, C. Samori, A.L. Lacaita, A 20 Mb/s phase modulator based on a 3.6 GHz digital PLL with -36 dB EVM at 5 mW power. IEEE J. Solid State Circuits 47(12), 2974–2988 (2012)

    Article  Google Scholar 

  19. G. Marzin, S. Levantino, C. Samori, A.L. Lacaita, 2.9 A background calibration technique to control bandwidth in digital PLLs, in 2014 IEEE International Solid-State Circuits Conference Digest of Technical Papers (ISSCC) (IEEE, Piscataway, 2014), pp. 54–55

    Google Scholar 

  20. J. Mehta, R.B. Staszewski, O. Eliezer, S. Rezeq, K. Waheed, M. Entezari, G. Feygin, S. Vemulapalli, V. Zoicas, C.-M. Hung et al., A 0.8 mm 2 all-digital SAW-less polar transmitter in 65nm EDGE SoC, in 2010 IEEE International Solid-State Circuits Conference Digest of Technical Papers (ISSCC) (IEEE, Piscataway, 2010), pp. 58–59

    Google Scholar 

  21. S.E. Meninger, M.H. Perrott, A 1-MHZ bandwidth 3.6-GHz 0.18-um CMOS fractional-N synthesizer utilizing a hybrid PFD/DAC structure for reduced broadband phase noise. IEEE J. Solid State Circuits 41(4), 966–980 (2006)

    Article  Google Scholar 

  22. C. Palattella, E.A. Klumperink, J. Ru, B. Nauta, A sensitive method to measure the integral nonlinearity of a digital-to-time converter based on phase modulation. IEEE Trans. Circuits Syst. Express Briefs 62(8), 741–745 (2015)

    Article  Google Scholar 

  23. S. Pamarti, L. Jansson, I. Galton, A wideband 2.4-GHz delta-sigma fractional-NPLL with 1-Mb/s in-loop modulation. IEEE J. Solid State Circuits 39(1), 49–62 (2004)

    Article  Google Scholar 

  24. M.H. Perrott, T.L. Tewksbury III, C.G. Sodini, A 27-mW CMOS fractional-N synthesizer using digital compensation for 2.5-Mb/s GFSK modulation. IEEE J. Solid State Circuits 32(12), 2048–2060 (1997)

    Article  Google Scholar 

  25. K. Raczkowski, N. Markulic, B. Hershberg, J. Craninckx, A 9.2–12.7 GHz wideband fractional-N subsampling PLL in 28 nm CMOS with 280 fs RMS jitter. IEEE J. Solid State Circuits 50(5), 1203–1213 (2015)

    Article  Google Scholar 

  26. T.A. Riley, M.A. Copeland, T.A. Kwasniewski, Delta-sigma modulation in fractional-N frequency synthesis. IEEE J. Solid State Circuits 28(5), 553–559 (1993)

    Article  Google Scholar 

  27. J.Z. Ru, C. Palattella, P. Geraedts, E. Klumperink, B. Nauta, A high-linearity digital-to-time converter technique: constant-slope charging. IEEE J. Solid State Circuits 50(6), pp. 1412–1423 (2015)

    Article  Google Scholar 

  28. H. Shanan, G. Retz, K. Mulvaney, P. Quinlan, A 2.4 GHz 2Mb/s versatile PLL-based transmitter using digital pre-emphasis and auto calibration in 0.18 μm CMOS for WPAN, in IEEE International Solid-State Circuits Conference-Digest of Technical Papers, 2009. ISSCC 2009 (IEEE, Piscataway, 2009), pp. 420–421

    Google Scholar 

  29. R.B. Staszewski, K. Muhammad, D. Leipold, C.-M. Hung, Y.-C. Ho, J.L. Wallberg, C. Fernando, K. Maggio, R. Staszewski, T. Jung et al., All-digital TX frequency synthesizer and discrete-time receiver for Bluetooth radio in 130-nm CMOS. IEEE J. Solid State Circuits 39(12), 2278–2291 (2004)

    Article  Google Scholar 

  30. R.B. Staszewski, J.L. Wallberg, S. Rezeq, C.-M. Hung, O.E. Eliezer, S.K. Vemulapalli, C. Fernando, K. Maggio, R. Staszewski, N. Barton et al., All-digital PLL and transmitter for mobile phones. IEEE J. Solid State Circuits 40(12), 2469–2482 (2005)

    Article  Google Scholar 

  31. E. Temporiti, C. Weltin-Wu, D. Baldi, M. Cusmai, F. Svelto, A 3.5 GHz wideband ADPLL with fractional spur suppression through TDC dithering and feedforward compensation. IEEE J. Solid State Circuits 45(12), 2723–2736 (2010)

    Google Scholar 

  32. N. Xu, W. Rhee, Z. Wang, A hybrid loop two-point modulator without DCO nonlinearity calibration by utilizing 1 bit high-pass modulation. IEEE J. Solid State Circuits 49(10), 2172–2186 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Markulic, N., Raczkowski, K., Craninckx, J., Wambacq, P. (2019). A Background-Calibrated Subsampling PLL for Phase/Frequency Modulation. In: Digital Subsampling Phase Lock Techniques for Frequency Synthesis and Polar Transmission. Analog Circuits and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-030-10958-5_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-10958-5_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10957-8

  • Online ISBN: 978-3-030-10958-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics