Abstract
This chapter provides an overview of injection-locking and its applications in mixed-mode signal processing. The classification of oscillators is provided. It browses through the development of the injection-locking of oscillators with an emphasis on the characterization of injection-locked oscillators. First-harmonic methods for analyzing harmonic oscillators in weak injection are presented. It is followed with the presentation of first-harmonic methods for the analysis of harmonic oscillators in both weak and strong injection. Frequency regenerative injection specifically tailored for frequency multiplication and frequency division is explored. First-harmonic balance method capable of analyzing harmonic oscillators in first-harmonic, superharmonic, and subharmonic injections is studied. The progressive multiphase injection of ring oscillators with multiple injections is examined. The effective injection signaling arising from the nonlinearity of oscillators under injection and obtained by analyzing the Volterra circuits of the oscillators under injection is described. The chapter also briefly browses through the key applications of the injection-locking of oscillators.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
The parallel RLC network in Fig. 1.2 is derived from the network consisting of a series RL network depicting the spiral inductor and a parallel capacitor. The quality factor is dictated by the RL network.
- 2.
Such an assumption is clearly not always correct since during the locking process, the period of the oscillator differs from that of the injection signal.
References
R. Adler, A study of locking phenomena in oscillators. Proc. Inst. Radio Eng. 34(6), 351–357 (1946)
E. Appleton, The automatic synchronization of triode oscillators. Proc. Camb. Philos. Soc. 21, 231–248 (1922–1923)
J. Bae, L. Yan, H. Yoo, A low energy injection-locked FSK transceiver with frequency-to-amplitude conversion for body sensor applications. IEEE J. Solid State Circuits 46(4), 928–937 (2011)
J. Bae, H. Yoo, A 45 μW injection-locked FSK wake-up receiver with frequency-to-envelope conversion for crystal-less wireless body area network. IEEE J. Solid State Circuits 50(6), 1351–1360 (2015)
G. Balamurugan, N. Shanbhag, Modeling and mitigation of jitter in multi Gbps source-synchronous I/O links, in Proceedings of the International Conference on Computer Design (IEEE, Piscataway, 2003), pp. 254–260
G. Beers, A frequency-dividing locked-in oscillator frequency-modulation receiver. Proc. Inst. Radio Eng. 32(12), 730–737 (1944)
A. Buonomo, A. Lo Schiavo, M. Awan, M. Asghar, M. Kennedy, A CMOS injection-locked frequency divider optimized for divide-by-two and divide-by-three operation. IEEE Trans. Circuits Syst. I 60(12), 3126–3135 (2013)
B. Casper, F. O’Mahony, Clocking analysis, implementation and measurement techniques for high-speed data links—a tutorial. IEEE Trans. Circuits Syst. I 56(1), 17–39 (2009)
H. Chen, D. Chang, Y. Juang, S. Lu, A 30-GHz wideband low-power CMOS injection-locked frequency divider for 60-GHz wireless-LAN. IEEE Microwave Wireless Lett 18(2), 145–147 (2008)
J. Chien, L. Lu, Analysis and design of wideband injection-locked ring oscillators with multiple-input injection. IEEE J. Solid State Circuits 42(9), 1906–1915 (2007)
S. Cho, S. Kim, M. Choo, J. Lee, H. Ko, S. Jang, S. Chu, W. Bae, Y. Kim, D. Jeong, A 5-GHz subharmonically injection-locked all-digital PLL with complementary switched injection, in Proceedings of the European Solid-State Circuits Conference (IEEE, Piscataway, 2015), pp. 384–387
M. Choo, H. Ko, S. Cho, K. Lee, D. Jeong, An optimum injection-timing tracking loop for 5-GHz, 1.13-mW/GHz RO-based injection-locked PLL with 152-fs integrated jitter. IEEE Trans. Circuits Syst. II 65(12), 1819–1823 (2018)
Y. Chuang, S. Lee, S. Jang, J. Chao, M. Juang, A ring-oscillator-based wide locking range frequency divider. IEEE Microwave Wireless Compon. Lett. 16(8), 470–472 (2006)
F. Ellinger, L. Rodoni, G. Sialm, C. Kromer, G. von Buren, M. Schmatz, C. Menolfi, T. Toifl, T. Morf, M. Kossel, H. Jackel. 30–40-GHz drain-pumped passive-mixer MMIC fabricated on VLSI SOI CMOS technology. IEEE Trans. Microwave Theory Tech. 52(5), 1382–1391 (2004)
D. Fraser, Synchrobization of oscillators by periodically interrupted waves. Proc. Inst. Radio Eng. 45(9), 1256–1268 (1957)
W. Grollitsch, R. Nonis, A fractional-N, all-digital injection-locked PLL with wide tuning range digitally controlled ring oscillator and bang-bang phase detection for temperature tracking in 40 nm CMOS, in Proceedings of the European Solid-State Circuits Conference (IEEE, Piscataway, 2016), pp. 201–204
M. Hossain, A. Carusone, 7.4 Gb/s 6.8 mW source synchronous receiver in 65 nm CMOS. IEEE J. Solid State Circuits 46(6), 1337–1348 (2011)
K. Hu, T. Jiang, J. Wang, F. O’Mahony, P. Chiang, A 0.6 m W/Gb/s, 6.4–7.2 Gb/s serial link receiver using local injection-locked ring oscillators in 90 nm CMOS. IEEE J. Solid State Circuits 45(4), 899–908 (2010)
J. Hu, B. Otis, A 3 μW, 400 MHz divide-by-5 injection-locked frequency divider with 56% lock range in 90 nm CMOS, in 2008 IEEE Radio Frequency Integrated Circuits Symposium (IEEE, Piscataway, 2008), pp. 665–668
R. Huntoon, A. Weiss, Synchronization of oscillators. Proc. Inst. Radio Eng. 34(12), 1415–1423 (1947)
S. Jang, C. Chang, W. Cheng, C. Lee, M. Juang, Low-power divide-by-3 injection-locked frequency dividers implemented with injection transformers. IET Electron. Lett. 45(5), 240–241 (2009)
S. Jang, P. Lu, M. Juang, Divide-by-3 LC injection locked frequency divider with a transformer as an injector’s load. Microw. Opt. Technol. Lett. 50(10), 2722–2725 (2008)
U. Karthaus, M. Fischer, Fully integrated passive UHF RFID transponder IC with 16.7 μW minimum RF input power. IEEE J. Solid State Circuits 38(10), 1602–1608 (2003)
F. Kocer, M. Flynn, A new transponder architecture with on-chip ADC for long-range telemetry applications. IEEE J. Solid State Circuits 41(5), 1142–1148 (2006)
S. Lee, S. Amakawa, N. Ishihara, K. Masu, Low-phase-noise wide-frequency-range ring-VCO-based scalable PLL with subharmonic injection locking in 0.18 μm CMOS, in Proceedings of the IEEE MTT-S International Microwave Symposium (IEEE, Piscataway, 2010), pp. 1178–1181
M. Lee, W. Dally, T. Greer, H. Ng, R. Farjad-Rad, J. Poulton, R. Senthinathan, Jitter transfer characteristics of delay-locked loops—theories and design techniques. IEEE J. Solid State Circuits 38(4), 614–621 (2003)
K. Lee, S. Kim, Y. Shin, D. Jeong, G. Lim, B. Kim, V. Da Costa, D. Lee, A jitter-tolerant 4.5 Gb/s CMOS interconnect for digital display, in 1998 IEEE International Solid-State Circuits Conference. Digest of Technical Papers, ISSCC (IEEE, Piscataway, 1998), pp. 310–311
D. Lee, T. Lee, Y. Kim, Y. Kim, L. Kim, An injection locked PLL for power supply variation robustness using negative phase shift phenomenon of injection locked frequency divider, in Proceedings of the IEEE Custom Integrated Circuits Conference (IEEE, Piscataway, 2015), pp.1–4
J. Lee, H. Wang, Study of subharmonically injection-locked PLLs. IEEE J. Solid State Circuits 44(5), 1539–1553 (2009)
L. Lin, L. Tee, P. Gray, A 1.4 GHz differential low-noise CMOS frequency synthesizer using a wideband PLL architecture, in 2000 IEEE International Solid-State Circuits Conference. Digest of Technical Papers (IEEE, Piscataway, 2000), pp. 204–205
S. Liu, Y. Zheng, W. M. Lim, W. Yang, Ring oscillator based injection locked frequency divider using dual injection paths. IEEE Microwave Wireless Compon. Lett. 25(5), 322–324 (2015)
L. Lu, J. Chien, A wide-band CMOS injection-locked ring oscillator. IEEE Microwave Wireless Compon. Lett. 15(10):676–678 (2005)
R. Mackey, Injection locking of klystron oscillators. IRE Trans. Microwave Theory Tech. 10(4), 228–235 (1962)
R. Miller, Fractional-frequency generators utilizing regenerative modulation. Proc. Inst. Radio Eng. 27(7), 446–457 (1939)
A. Mirzaei, M. Heidari, A. Abidi, Analysis of oscillators locked by large injection signals: generalized Adler’s equation and geometrical interpretation, in IEEE Custom Integrated Circuits Conference 2006 (IEEE, Piscataway, 2006), pp. 737–740
A. Mirzaei, M. Heidari, R. Bagheri, A. Abidi, Multi-phase injection widens lock range of ring-oscillator-based frequency dividers. IEEE J. Solid State Circuits 43(3), 656–671 (2008)
A. Mirzaei, M. Heidari, R. Bagheri, S. Chehrazi, A. Abidi, The quadrature LC oscillator: a complete portrait based on injection locking. IEEE J. Solid State Circuits 42(9), 1916–1932 (2007)
H. Moyer, A. Daryoush, A unified analytical model and experimental validations of injection-locked processes. IEEE Trans. Microwave Theory Tech. 48(4), 493–499 (2000)
A. Musa, K. Okada, A. Matsuzawa, Progressive mixing technique to widen the locking range of high division-ratio injection-locked frequency dividers. IEEE Trans. Microwave Theory Tech. 61(3), 1161–1173 (2013)
H. Ng, R. Farjad-Rad, M. Lee, W. Dally, T. Greer, J. Poulton, J. Edmondson, R. Rathi, R. Senthinathan, A second-order semidigital clock recovery circuit based on injection locking. IEEE J. Solid State Circuits 38(12), 2101–2110 (2003)
F. O’Mahony, S. Shekhar, M. Mansuri, G. Balamurugan, J. Jaussi, J. Kennedy, B. Casper, D. J. Allstot, R. Mooney, A 27 Gb/s forwarded-clock I/O receiver using an injection-locked LC-DCO in 45 nm CMOS, in 2008 IEEE International Solid-State Circuits Conference. Digest of Technical Papers (IEEE, Piscataway, 2008), pp. 452–627
L. Paciorek, Injection locking of oscillators. Proc. IEEE 53(11), 1723–1727 (1965)
F. Plessas, F. Gioulekas, G. Kalivas, Phase noise performance of fully differential sub-harmonic injection-locked PLL. Electron. Lett. 46(19), 1319–1321 (2010)
H. Rategh, T. Lee, Superharmonic injection-locked frequency dividers. IEEE J. Solid State Circuits 34(6), 813–821 (1999)
I. Schmideg, Harmonic synchronization of nonlinear oscillators. Proc. IEEE 59(8), 1250–1251 (1971)
S. Shekhar, M. Mansuri, F. O’Mahony, G. Balamurugan, J. E. Jaussi, J. Kennedy, D. Allstot, R. Mooney, B. Casper, Strong injection locking in low-Q LC oscillators: modeling and application in a forwarded-clock I/O receiver. IEEE Trans. Circuits Syst. I 56(8), 1818–1829 (2009)
D. Shin, S. Park, S. Raman, K. Koh, A subharmonically injection-locked PLL with 130 fs RMS jitter at 24 GHz using synchronous reference pulse injection from nonlinear VCO envelope feedback, in Proceedings of the IEEE Radio Frequency Integrated Circuits Symposium (IEEE, Piscataway, 2017), pp . 100–103
N. Soltani, F. Yuan, Non-harmonic injection-locked phase-locked loops with applications in remote frequency calibration of passive wireless transponders. IEEE Trans. Circuits Syst. I 57(12), 2381–2393 (2010)
M. Tiebout, A CMOS direct injection-locked oscillator topology as high-frequency low-power frequency divider. IEEE J. Solid State Circuits 39(7), 1170–1174 (2004)
A. Tofangdarzade, A. Jalali, An efficient method to analyze lock range in ring oscillators with multiple injections. IEEE Trans. Circuits Syst. II 62(11), 1013–1017 (2015)
A. Tofangdarzade, A. Tofangdarzade, N. Saniei, Strong injection locking and pulling in LC multiphase oscillators with multiple injection signals. IEEE Trans. Circuits Syst. II (2018, accepted)
D. Tucker, Forced oscillations in oscillator circuits, and the synchronization of oscillators. J. Inst. Radio Eng. Part III: Radio Commun. Eng. 92(19), 226–234 (1945)
D. Tucker, Forced oscillations in oscillator circuits, and the synchronization of oscillators. J. Inst. Radio Eng. Part I: Gen. 93(61), 57–58 (1946)
B. van der Pol, The nonlinear theory of electric oscillations. Proc. Inst. Radio Eng. 22(9), 1051–1086 (1934)
S. Verma, H. Rategh, T. Lee, A unified model for injection-locked frequency divider. IEEE J. Solid State Circuits 38(6), 1015–1027 (2003)
J. Vincent, On some experiments in which two neighbouring maintained oscillatory circuits affect a resonating circuit. Proc. Phys. Soc. Lond. 32, 84–91 (1919)
C. Wei, T. Kuan, S. Liu, A subharmonically injection-locked PLL with calibrated injection pulsewidth. IEEE Trans. Circuits Syst. II 62(6), 548–552 (2015)
K. Yamamoto, M. Fujishima, 55 GHz CMOS frequency divider with 3.2 GHz locking range, in Proceedings of the 30th European Solid-State Circuits Conference (IEEE, Piscataway, 2004), pp. 135–138
X. Yi, C. Boon, M. Do, K. Yeo, W. Lim, Design of ring-oscillator-based injection-locked frequency dividers with single-phase inputs. IEEE Microwave Wireless Compon. Lett. 21(10), 559–561 (2011)
X. Yu, H. Cheema, R. Mahmoudi, A. van Roermund, X. Yan, A 3 mW 54.6 GHz divide-by-3 injection locked frequency divider with resistive harmonic enhancement. IEEE Microwave Wireless Compon. Lett. 19(9), 575–577 (2009)
F. Yuan, Y. Zhou, A phasor-domain study of lock range of harmonic oscillators with multiple injections. IEEE Trans. Circuits Syst. II 59(8), 466–470 (2012)
F. Yuan, Y. Zhou, Frequency-domain study of lock range of non-harmonic oscillators with multiple multi-tone injections. IEEE Trans. Circuits Syst. I 60(6), 1395–1406 (2013)
F. Yuan, Y. Zhou, Injection signaling in relaxation oscillators. Analog Integr. Circ. Sig. Process 2019, 1–6 (2019)
L. Zhang, B. Ciftcioglu, M. Huang, H. Wu, Injection-locked clocking: a new GHz clock distribution scheme, in Proceedings of the IEEE Custom Integrated Circuits Conference (IEEE, Piscataway, 2006), pp. 785–788
Z. Zhang, L. Liu, N. Wu, A novel 2.4-to-3.6 GHz wideband subharmonically injection-locked PLL with adaptively-aligned injection timing, in Proceedings of the IEEE Asian Solid-State Circuits Conference (IEEE, Piscataway, 2014), pp. 369–372
X. Zhang, X. Zhou, A. Daryoush, A theoretical and experimental study of the noise behavior of subharmonically injection locked local oscillators. IEEE Trans. Microwave Theory Tech. 40(5), 895–902 (1992)
Y. Zhou, F. Yuan. A study of lock range of injection-locked CMOS active-inductor oscillators using a linear control system approach. IEEE Trans. Circuits Syst. II 58(10), 627–631 (2011)
Y. Zhou, F. Yuan, Study of injection-locked non-harmonic oscillators using volterra series. IET Circuits Devices and Syst. 9(2), 119–130 (2015)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Yuan, F. (2020). Injection-Locking of Oscillators: An Overview. In: Injection-Locking in Mixed-Mode Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-030-17364-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-17364-7_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-17362-3
Online ISBN: 978-3-030-17364-7
eBook Packages: EngineeringEngineering (R0)