Abstract
This paper presents a novel co-optimization configuration to simultaneously improve phase noise and FoM in order to solve the long-existing issue of excellent phase noise and mediocre FoM in the light of GaAs technologies. Considering traditional GaAs based Colpitts/class-C VCOs, a first step is taken with the introduction of noise shifting structure while a second step is carried out with the presentation of Darlington pair. Afterwards, a detailed outline of pros and cons of five VCO topologies, including Colpitts/class-C/noise shifting (NS) Colpitts/noise shifting class-C/noise shifting Darlington-based (NSDB) class-C VCO, is given in theory and in practice while respective start-up conditions and capacitive feedback factors are derived mathematically. It can be found that iterative phase noise and FoM improvement is achieved in GaAs based VCOs above in a gradual manner. Furthermore, the output power is stabilized with a simple trick of two-stage Darlington-based topology and thus, the power-hungry buffer is avoided. Ultimately, three VCOs out of the five are fabricated in GaAs technologies while their specifications are thoroughly compared with previous research. The fabricated Colpitts VCO demonstrates a frequency tuning range of 3.59–3.69 GHz with a current consumption of 11.2 mA@5 V supply, a phase noise of − 130.1 to − 129.1 dBc/Hz at 1 MHz offset from the carrier and the output power is around − 5 to − 5.1 dBm. The fabricated noise shifting Colpitts VCO demonstrates a frequency tuning range of 3.58–3.67 GHz with a current consumption of 10.8 mA@5 V supply, a phase noise of − 132.4 to − 130.2 dBc/Hz at 1 MHz offset from the carrier and the output power is around − 2.5 to − 3.5 dBm. The fabricated Darlington-based class-C VCO demonstrates a frequency tuning range of 2.76–2.91 GHz with a current consumption of 9.5 mA@5 V supply, a phase noise of − 138.6 to − 135.9 dBc/Hz at 1 MHz offset from the carrier and the output power is around − 3.06 to − 4.18 dBm. To the best of the authors’ expertise, the proposed Darlington-based class-C VCO achieves both exceptional phase noise and FoM, which far outweigh that of existing GaAs ones.
Similar content being viewed by others
References
Aparicio, R., & Hajimiri, A. (2002). A CMOS differential noise-shifting Colpitts VCO. In 2002 IEEE international solid-state circuits conference. digest of technical papers (Cat. No.02CH37315) (Vol. 1, pp. 288–289), San Francisco, CA, USA.
Cheng, K., Chang, S., & Huang, Y. (2019). Low-power and low-phase-noise Gm-enhanced current-reuse differential Colpitts VCO. IEEE Transactions on Circuits and Systems II: Express Briefs, 66(5), 733–737.
Cheng, X., Gao, H., Chen, F. J., et al. (2019). A low phase noise InGaP–GaAs HBT Colpitts VCO with a high quality differential inductor. Analog Integrated Circuits and Signal Processing. https://doi.org/10.1007/s10470-019-01426-w.
Deng, W., Okada, K., & Matsuzawa, A. (2013). Class-C VCO with amplitude feedback loop for robust start-up and enhanced oscillation swing. IEEE Journal of Solid-State Circuits, 48(2), 429–440.
Fanori, L., & Andreani, P. (2013). Highly efficient class-C CMOS VCOs, including a comparison with Class-B VCOs. IEEE Journal of Solid-State Circuits, 48(7), 1730–1740.
Fanori, L, Mattsson, T., & Andreani, P. (2014). 21.6 A 2.4-to-5.3 GHz dual-core CMOS VCO with concentric 8-shaped coils. In IEEE international solid- state circuits conference IEEE (pp. 370–371).
Fard, A., & Andreani, P. (2007). An analysis of 1/f2 phase noise in bipolar Colpitts oscillators (with a digression on bipolar differential-pair LC oscillators). IEEE Journal of Solid-State Circuits, 42(2), 374–384.
Florian, C., D’Angelo, S., Resca, D., & Scappaviva, F. (2017). A chip set of low phase noise MMIC VCOs at C, X and Ku band in InGaP-GaAs HBT technology for satellite telecommunications. In 2017 IEEE MTT-S international microwave symposium (IMS) (pp. 1148–1151), Honololu, HI.
Hajimiri, A., & Lee, T. H. (1998). A general theory of phase noise in electrical oscillators. IEEE Journal of Solid-State Circuits, 33(2), 179–194.
Lai, S., Bao, M., Kuylenstierna, D., & Zirath, H. (2012). A method to lower VCO phase noise by using HBT darlington pair. In 2012 IEEE/MTT-S international microwave symposium digest, Montreal, QC, pp. 1–3.
Mazzanti, A., & Andreani, P. (2008). Class-C harmonic CMOS VCOs, with a general result on phase noise. IEEE Journal of Solid-State Circuits, 43(12), 2716–2729.
Rai, S. S., & Otis, B. P. (2008). A 600 µW BAW-tuned quadrature VCO using source degenerated coupling. IEEE Journal of Solid-State Circuits, 43(1), 300–305.
Shahmohammadi, M., Babaie, M., & Staszewski, R. B. (2017). Tuning range extension of a transformer-based oscillator through common-mode colpitts resonance. IEEE Transactions on Circuits & Systems I Regular Papers, 64(4), 836–846.
Wang, F., & Wang, H. (2019). A noise circulating oscillator. IEEE Journal of Solid-State Circuits, 54(3), 696–708.
Saghati, A. P., & Entesari, K. (2014). A 1.7–2.2 GHz compact low phase-noise VCO using a widely-tuned SIW resonator. IEEE Microwave & Wireless Components Letters, 24(9), 622–624.
Cheng, X., Chen, F., Xia, X., Han, J., Luo, X., & Zhao, Z. A modified Darlington-based class-C VCO with simultaneous optimization of phase noise/FoM in GaAs technology. In IEEE microwave and wireless components letters.
Zirath, H., Kozhuharov, R., & Ferndahl, M. (2005). Balanced Colpitts oscillator MMICs designed for ultra-low phase noise. IEEE Journal of Solid-State Circuits, 40(10), 2077–2086.
Zou, W., Zou, X., Ren, D., et al. (2019). 2.49–4.91 GHz wideband VCO with optimised 8-shaped inductor. Electronics Letters, 55(1), 55–57.
Acknowledgement
Many thanks to CDMG (Compact Device Modeling Group) group lead by Professor Jun Liu in Hangzhou Dianzi University for the valuable process assessment and modification work.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Han, JY., Jiang, Y., Guo, GL. et al. An evolution of Colpitts VCO for simultaneous optimization of phase noise and FoM in GaAs technologies. Analog Integr Circ Sig Process 105, 441–457 (2020). https://doi.org/10.1007/s10470-020-01725-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10470-020-01725-7