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Quadrature Generation Techniques in CMOS Relaxation Oscillators S. Aniruddhan Indian Institute of Technology Madras Chennai, India ISCAS 2012 Outline Introduction & Motivation Quadrature Relaxation Oscillators (QRXO)


  1. Quadrature Generation Techniques in CMOS Relaxation Oscillators S. Aniruddhan Indian Institute of Technology Madras Chennai, India ISCAS 2012

  2. Outline ● Introduction & Motivation ● Quadrature Relaxation Oscillators (QRXO) – Shunt-coupled QRXO – Series-coupled QRXO ● Design and Simulation Results ● Summary 2 Aniruddhan, IIT Madras ISCAS 2012

  3. Introduction ● RF oscillator: key block in wireless & wireline communication systems [1,2] ● LC VCOs are commonly used – Low phase noise (high-Q) – Large area (spiral inductors) – Tuning range limited by device parasitics ● Quadrature LO signals – Recovery of IQ signal – Image-rejection 3 Aniruddhan, IIT Madras ISCAS 2012

  4. IQ LO Generation – 1 ● VCO (f 0 ) + polyphase filter – High frequencies: capacitive parasitics become comparable to filter C – Buffers required to drive low impedances = high power consumption – Quadrature error ⇐ R & C matching ● VCO (2f 0 ) + Divide-by-2 – LC oscillator potentially has higher Q at 2f 0 – Divider power becomes significant – Quadrature error ⇐ device matching 4 Aniruddhan, IIT Madras ISCAS 2012

  5. IQ LO Generation – 2 ● Four-stage ring oscillator (f 0 ) – Tuning range set by stage delays – Quadrature error ⇐ delay matching ● Quadrature VCO (f 0 ) [1,3,4] – Power efficient at higher frequencies – Quadrature error ⇐ coupling strength 5 Aniruddhan, IIT Madras ISCAS 2012

  6. Relaxation Oscillator ● Schmitt Trigger: Cross-coupled NMOS + R loads ● Integrator: Capacitor C ● Tune frequency using I 0 6 Aniruddhan, IIT Madras ISCAS 2012

  7. Quadrature Generation ● Quadrature Relaxation Oscillator [5,6] – V C and V OUT are 90° out of phase – Integrator of each oscillator triggers the other ● Quadrature LC VCO – Inhibit negative resistance generation for 0° or 180° modes – Shunt & series injection ● Quadrature Relaxation Oscillator (this work) – Suppress Schmitt-trigger operation for 0°/180° – Shunt & Series coupling 7 Aniruddhan, IIT Madras ISCAS 2012

  8. Shunt Coupled QRXO ● I=Q (in-phase) ⇒ M 5-6 oppose M 1-2 – QRXO I dies out QRXO Q too ceases to oscillate ⇒ ● I=Q (out-of-phase) M 7-8 oppose M 3-4 ⇒ – QRXO Q dies out QRXO I too ceases to oscillate ⇒ 8 Aniruddhan, IIT Madras ISCAS 2012

  9. Series Coupled QRXO ● Series injection through M 5-8 ● Coupling devices in triode region 9 Aniruddhan, IIT Madras ISCAS 2012

  10. Circuit Design & Simulation ● Quadrature relaxation oscillators designed and simulated using Spectre (Cadence) – f 0 = 2.4GHz – UMC 0.18µm CMOS process (V DD = 1.8V) ● Reference 2.4GHz relaxation oscillator – Total bias current = 6mA – M 1-2 = 100µm X 0.25µm – Load resistance R = 100Ω – Integrator capacitance C = 460fF 10 Aniruddhan, IIT Madras ISCAS 2012

  11. Shunt-coupled QRXO ● Quadrature coupling validated in simulation ● Primary design parameter: size of quadrature coupling devices – Large W/L strong coupling, larger parasitics ⇒ – Small W/L weak coupling, more flicker noise ⇒ – Larger L less flicker noise, more parasitics ⇒ – M 5-8 = 36µm X 0.65µm ● Total QRXO current = 12mA ● 1% I-Q mismatch 0.25 ° quadrature error ⇒ 11 Aniruddhan, IIT Madras ISCAS 2012

  12. Shunt QRXO – Startup 12 Aniruddhan, IIT Madras ISCAS 2012

  13. Shunt QRXO – Phase Noise ● -99.4dBc/Hz @ 1MHz offset ● R = 24%; M 5-8 (flicker) = 21%; M 1-4 (thermal) = 18% 13 Aniruddhan, IIT Madras ISCAS 2012

  14. Shunt QRXO – Phase Error Quad. Phase Error (deg.) Osc. Freq. (Ghz) 1 2.45 0.9 0.8 Quadrature Phase Error (deg.) Oscillation Frequency (GHz) 0.7 2.4 0.6 0.5 0.4 2.35 0.3 0.2 0.1 0 2.3 15 20 25 30 35 40 45 50 Coupling Device width (um) 14 Aniruddhan, IIT Madras ISCAS 2012

  15. Series-coupled QRXO ● Quadrature coupling validated in simulation ● Coupling devices – Operate in triode region – Weaken cross-coupled NMOS operation (degeneration) – Large W/L (M 5-8 = 200µm X 0.18µm) – Flicker noise less of a concern ● Total QRXO current = 16mA ● 1% I-Q mismatch 0.1 ° quadrature error ⇒ 15 Aniruddhan, IIT Madras ISCAS 2012

  16. Series QRXO – Startup 16 Aniruddhan, IIT Madras ISCAS 2012

  17. Series QRXO – Phase Noise ● -98.3 dBc/Hz @ 1MHz offset ● M 1-4 (flicker) = 70% 17 Aniruddhan, IIT Madras ISCAS 2012

  18. Series QRXO – Phase Error Quad. Phase Error (deg.) Osc. Freq. (Ghz) 0.5 2.65 2.6 2.55 0.4 2.5 Quadrature Phase Error (deg.) Oscillation Frequency (GHz) 2.45 0.3 2.4 2.35 2.3 0.2 2.25 2.2 0.1 2.15 2.1 0 2.05 160 170 180 190 200 210 220 230 240 250 Coupling Device width (um) 18 Aniruddhan, IIT Madras ISCAS 2012

  19. Comparison Shunt coupled Series coupled QRXO QRXO Coupling Saturation Triode (larger) Devices (smaller) Quadrature ✕ ✓ Error Phase Noise ✓ ✕ Current ✓ ✕ Consumption 19 Aniruddhan, IIT Madras ISCAS 2012

  20. Summary ● Two topologies for quadrature coupling of relaxation oscillators were presented ● 2.4GHz quadrature oscillators were designed and simulated in a UMC 0.18µm CMOS process – Shunt-coupled lower current, larger ⇒ quadrature error – Series-coupled larger current, lower ⇒ quadrature error 20 Aniruddhan, IIT Madras ISCAS 2012

  21. References [1] K. W. Cheng, K. Natarajan, and D. J. Allstot, “A Current Reuse Quadrature GPS Receiver in 0.13 µm CMOS ,” IEEE Journal of Solid-State Circuits, vol. 45, No.3, pp. 510–523, March 2010. [2] B. G. Perumana, R. Mukhopadhyay, S. Chakarborty, C. H. Lee, and J. Laskar, “A Low-Power Fully Monolithic Subthreshold CMOS Receiver With Integrated LO Generation for 2.4 GHz Wireless PAN Applications ,” IEEE Journal of Solid-State Circuits, vol. 43, No.10, pp. 2229–2238, October 2008. [3] A. Rofougaran, J. Rael, M. Rofougaran, and A. Abidi, “A 900MHz CMOS LC-Oscillator with Quadrature Outputs,” IEEE International Solid-State Circuits Conference, Digest of Technical Papers, 1996. [4] P. Andreani, “A 2 GHz, 17% Tuning Range Quadrature CMOS VCO with High Figure-of-Merit and 0.6° Phase Error,” Proceedings of the 28 th European Solid-State Circuits Conference, 2002. [5] C. J. M. Verhoeven, “A High-Frequency Electronically Tunable Quadrature Oscillator ,” IEEE Journal of Solid-State Circuits, vol. 27, No.7, pp. 1097–1100, July 1992. [6] B. Zhou, W. Rhee, and Z. Wang, “Relaxation oscillator with quadrature triangular and square waveform generation ,” Electronics Letters, vol. 47, No.13, 23 rd June 2011. [7] J. R. Fernandes, M. H. L. Kouwenhoven, C. van den Bos, L. B. Oliveira, and C. J. M. Verhoeven, “The Effect of Mismatches and Delay on the Quadrature Error of a Cross-Coupled Relaxation Oscillator,” IEEE Transactions on Circuits and Systems-I: Regular Papers, vol. 54, No.12, pp. 2592–2598, December 2007. 21 Aniruddhan, IIT Madras ISCAS 2012

  22. Thank you 22 Aniruddhan, IIT Madras ISCAS 2012

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