# Performance and Trends in Millimetre-Wave CMOS Oscillators for Emerging Wireless Applications

Authors: Marius Voicu; Domenico Pepe; Domenico Zito
Journal: International Journal of Microwave Science and Technology
 (2013)

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## Abstract

This paper reports the latest advances on millimeter-wave CMOS voltage-controlled oscillators (VCOs). Current state-of-the-art implementations are reviewed, and their performances are compared in terms of phase noise and figure of merit. Low power and low phase noise LC-VCO and ring oscillator designs are analyzed and discussed. Design and performance trends over the last decade are provided and discussed. The paper shows how for the higher range of millimeter-waves (>60 GHz) the performances of ring oscillators become comparable with those of LC-VCOs.


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## Body

## 1. Introduction

In the last few years several standards have been, or have been planned to soon be, released, regarding millimetre-waves (mm-waves, i.e., 30–300 GHz) systems for emerging wireless applications. Some of the most attractive applications are 60 GHz unlicensed wireless data communication [1], 77-GHz automotive radars [2], and 94 GHz passive imaging [3]. Key enabler for high-volume and low-cost mass market implementation of these systems is the significant improvement of device performance in the latest CMOS technology nodes (i.e., 130 nm and smaller), which offer a great potential for the realization of millimeter-waves wireless transceivers on a single chip.One of the most important building blocks in a wireless transceiver is the frequency synthesizer. Performance of the voltage controlled oscillator (VCO) dictates the performance of the frequency synthesizer and thus of the whole communication system.The aim of the present paper is to provide a review of the state-of-the-art (SoA) of millimeter-wave (mm-wave, 30–300 GHz) VCOs in CMOS technology in order to identify the trends over the last decade and derive some useful observations regarding the past and possible future evolution of design and performance. In particular, the paper reports a comparison of performances among SoA design solutions and highlights the achievements and trends in terms of phase noise (PN) and figure of merit (FOM).The present paper is organized as follows. Section2 provides an overview of two of the most widespread VCO topologies, LC-tank, and ring oscillators and recalls briefly their main causes responsible for the phase noise. In Section 3, SoA millimeter-wave CMOS LC-VCO and ring oscillator design solutions are reported, and their performances are discussed and compared. In Section 4, the conclusions are drawn.


## 2. CMOS VCOs

The most widespread CMOS VCO topologies at mm-wave frequencies are LC-tank and ring oscillators. Section2.1 provides a brief overview of LC-VCOs and their PN contributions. Section 3.1 provides a brief review of ring oscillators and their PN contributions.


### 2.1. LC-Tank VCOs

LC-VCOs consist of a resonant circuit (LC-tank) and an amplifier that provides adequate gain to compensate the losses of the resonant circuit. The amplifier can be a single transistor in one of the known configurations (common-source, common-gate, or source follower) or the widespread cross-coupled differential pair (see Figure1(a)).(a) LC-VCO; (b) ring oscillator.
(a)
(b)The main causes of PN in LC-VCO are due to the losses in the resonator and the amplifier noise. For instance, in the case of cross-coupled differential pair LC-VCOs, they are (i) resonator thermal noise (due to the loss conductance in the resonator), (ii) tail current noise (the switching action of the differential pair translates noise up and down in frequency, and so the noise enters the resonator), and (ii) differential pair noise (due to the finite switching time of the pair) [4].


### 2.2. Ring Oscillators

Ring oscillators (ROs) are composed of a cascade of inverting amplifiers, and the output of the last element is fed back to the input of the first (see Figure1(b)). These inverter stages can be implemented by differential amplifiers, CMOS inverters, or even LC-VCOs.The main causes of PN in ring oscillators are (i) the thermal noise (due to MOSFET drain-source channel resistance and load resistors) and (ii) flicker noise (in CMOS inverter-based ROs, the pull-up and pull-down currents contain flicker noise which varies slowly over many transitions, while, in differential ROs, the flicker noise in the tail current modulates the propagation delay of the stages) [5].


## 2.1. LC-Tank VCOs

LC-VCOs consist of a resonant circuit (LC-tank) and an amplifier that provides adequate gain to compensate the losses of the resonant circuit. The amplifier can be a single transistor in one of the known configurations (common-source, common-gate, or source follower) or the widespread cross-coupled differential pair (see Figure1(a)).(a) LC-VCO; (b) ring oscillator.
(a)
(b)The main causes of PN in LC-VCO are due to the losses in the resonator and the amplifier noise. For instance, in the case of cross-coupled differential pair LC-VCOs, they are (i) resonator thermal noise (due to the loss conductance in the resonator), (ii) tail current noise (the switching action of the differential pair translates noise up and down in frequency, and so the noise enters the resonator), and (ii) differential pair noise (due to the finite switching time of the pair) [4].


## 2.2. Ring Oscillators

Ring oscillators (ROs) are composed of a cascade of inverting amplifiers, and the output of the last element is fed back to the input of the first (see Figure1(b)). These inverter stages can be implemented by differential amplifiers, CMOS inverters, or even LC-VCOs.The main causes of PN in ring oscillators are (i) the thermal noise (due to MOSFET drain-source channel resistance and load resistors) and (ii) flicker noise (in CMOS inverter-based ROs, the pull-up and pull-down currents contain flicker noise which varies slowly over many transitions, while, in differential ROs, the flicker noise in the tail current modulates the propagation delay of the stages) [5].


## 3. State-of-the-Art of mm-Wave CMOS VCOs

In this Section, a review of SoA mm-wave CMOS LC-VCO and RO design solutions is provided, and their performances are discussed and compared. In Section3.1, three SoA mm-waves CMOS LC-VCO implementations, operating at 30, 60, and 140 GHz, respectively, are reported. In Section 3.2, two SoA mm-wave RO designs (the first implemented at 50 and 60 GHz, the second at 104 and 121 GHz) are reported. In Section 3.3, performance trends over the last decade of mm-wave CMOS LC-VCOs and ROs are provided and discussed. The performances of the SoA VCOs are summarized in Tables 1 and 2, and their figure of merit ((FOM) see (1)) are evaluated:
(1)FOM=PN-20Log(f0Δf)+10Log(PDC1mW),
where f0 is the oscillation frequency, Δf is the offset at which the PN is evaluated, and PC is the power consumption.Table 1
SoA mm-wave CMOS LC-VCOs: summary of performance.
Reference
Tech.(nm)
f
0 (GHz)
V
DD  (V)
P
C   (mW)
Phase noise(dBc/Hz)
FOM (dBc/Hz)
[6]
130
30.3
0.6
7.8
−114 @ 1 MHz
−196
[7]
90
57.6
0.6
7.2
−102 @ 1 MHz
−188
[9]
90
139.8
1.2
9.6
−75 @ 1 MHz
−178Table 2
SoA mm-wave CMOS ROs: summary of performance.
Reference
Tech.(nm)
f
0 (GHz)
V
DD  (V)
P
C   (mW)
Phase noise(dBc/Hz)
FOM(dBc/Hz)
[10]
130
50.3
0.8
35
−104 @ 1 MHz
−186.4
[10]
130
58.5
0.8
34
−95 @ 1 MHz
−180.6
[11]
130
104
1.5
28
−93.3 @ 1 MHz
−180
[11]
130
121
1.3
21
−88 @ 1 MHz
−176.5


### 3.1. SoA mm-Wave CMOS LC-VCOs

In [6] a 30 GHz quadrature VCO (QVCO) implemented in 0.13 μm CMOS technology is presented. The circuit schematic is shown in Figure 2. It exploits the use of a trifilar (1 : 1 : 1) transformer with a high quality factor (i.e., with respect to spiral inductors) in order to improve the PN performance. In fact, with respect to inductors, transformers can provide higher quality factors due to the mutual coupling between the spirals. The trifilar transformer couples two series cascaded cross-coupled VCO structures. The transformer couples in-phase and in-quadrature drain and source spirals, allowing for a reduction of device noise, parasitic capacitances, and power consumption. The PN is −114 dBc/Hz @ 1 MHz from the carrier frequency of 30.3 GHz. The power consumption amounts to 7.8 mW from a 0.6 V supply voltage.Figure 2
Schematic of the VCO presented in [6]. The two trifilar transformers of I and Q VCOs are highlighted in red and blue. Spirals couplings are represented by the thin arrowed lines. I and Q are VCO outputs.In [7], a 60 GHz Colpitts LC-VCO implemented in 90 nm CMOS technology is presented. The circuit schematic is shown in Figure 3. Although Colpitts oscillators have good PN performances, they suffer from the Miller capacitance effects, which cause an increase in the parasitic gate-drain capacitance of the MOSFET transistors. This issue is solved by combining a conventional Colpitts oscillator and a tuned-input tuned-output (TITO) oscillator [8]. In this way, start-up issues of the Colpitts oscillator have been solved, and phase noise performance improved (thanks to an extra LC-tank for noise filtering). The circuit consumes 7.2 mW from a 0.6 V supply voltage. The PN is −102 dBc/Hz @ 1 MHz offset from the carrier (57.6 GHz). The tuning range is 5.3 GHz (from 55.8 to 61.1 GHz).Figure 3
Schematic of the 60 GHz Colpitts LC-VCO presented in [7].In [9] a 140 GHz cross-coupled LC-VCO implemented in 90 nm CMOS technology by UMC is presented. The circuit schematic is shown in Figure 4. A low parasitic cross-coupled transistor layout is developed in order to achieve a high fundamental frequency. The VCO core has been biased through a p-MOSFET in order to reduce the flicker noise contribution to the overall close-in PN. Moreover, to minimize the load capacitance connected to the LC-tank, a two-stage tapered buffer has been used to drive the 50 Ω load. The VCO core consumes 9.6 mW from a 1.2 V voltage supply. The buffers consume 7.2 mW. The PN amounts to −75 dBc/Hz @ 1 MHz offset from the carrier frequency of 139.8 GHz.Figure 4
Schematic of the 140-GHz LC-VCO presented in [9].Table1 summarizes the main characteristics and performances of the aforementioned LC-VCOs.


### 3.2. SoA mm-Wave CMOS Ring Oscillators

In [10], 50 GHz and 60 GHz ring oscillators implemented in 0.13 μm CMOS are presented. The block diagram is shown in Figure 5(a). An interpolative-phase-tuning (IPT) technique is used to tune frequency of multiphase mm-wave LC-based ROs without using varactors (see Figure 5(b)). In order to vary the output frequency, the delay of each stage of the ROs is varied by means of tunable phase shifters. A fixed phase shift is used to introduce a delayed current i1 via M3 and M4; i1 is interpolated with the undelayed current provided by M1 and M2. The phase shift can be tuned from 0 to β by controlling the biasing dc current I0 and I1. Two output current-controlled oscillators (CCOs), with 4 and 8 phases, are implemented using this technique. The 8-phase CCO can be tuned from 48.6 to 52 GHz, and it consumes from 32 to 48 mW from a 0.8 V voltage supply. The 4-phase CCO can be tuned from 56 to 61.3 GHz and consumes from 30 to 37 mW. The PN of the 8-phase CCO amounts to −104 dBc/Hz at 1 MHz offset from the carrier (50.3). The PN of the 4-phase CCO is −95 dBc/Hz @ 1 MHz offset from the carrier (58.5 GHz).(a) Block diagram of the 50 and 60 GHz ring oscillators presented in [10]. (b) Schematic of Gm block of Figure 4(a): β is a fixed phase shifter implemented by a LC-based differential stage.
(a)
(b)In [11] two fundamental three-stage ROs implemented in a 0.13 μm CMOS process and oscillating at 104 GHz and 121 GHz, respectively, are presented. The circuit schematic is shown in Figure 6. A new design methodology for designing high-frequency oscillators has been developed. This method finds the best topology to achieve frequencies close to the maximum frequency of oscillation of the transistors. It is based on the activity condition of the transistors. A device is called active at a certain frequency, if it can generate power in the form of a single sinusoidal signal at that frequency [12]. This method determines also the maximum frequency of oscillation for a fixed circuit topology. Each stage of the implemented ROs is implemented using a double gate transistor with a substrate contact ring around the transistor and an inductive load. The measured peak output powers of the two oscillators are −3.5 dBm and −2.7 dBm at 121 GHz and 104 GHz, respectively. The DC power consumptions, including the output buffer, is 21 mW from a 1.28 V supply and 28 mW from a 1.48 V supply for the 121 GHz and 104 GHz oscillators, respectively. The PN at 1 MHz offset frequency is −88 dBc/Hz and −93.3 dBc/Hz for the 121 GHz and 104 GHz oscillators, respectively.Figure 6
Schematic of the 104 and 121 GHz ring oscillators presented in [11].The main figures of merit and performances of the aforementioned ring oscillators are presented in Table2.


### 3.3. Performance Trends in mm-Wave CMOS VCOs

PN versus oscillation frequency of SoA mm-wave CMOS LC-VCOs and ROs published in the last 11 years are shown in Figure7. It can be observed that PN performances of ring oscillators are becoming closer to those of LC-VCOs while moving towards very high frequencies.Figure 7
Oscillator phase noise performances versus oscillation frequency [6, 7, 9–11, 13–20].Figure8 shows PN versus publication year. It can be noted that in, the last couple of years, while in the low mm-wave range (30 GHz) the PN of LC-VCOs is still better (−114 dBc/Hz @ 1 MHz offset from 30 GHz [6]), at very high frequencies PN of RO becomes comparable to that of LC-VCOs, achieving a PN of −88 dBc/Hz @ 1 MHz at 121 GHz [11].Figure 8
Oscillator phase noise performances versus publication year [6, 7, 9–11, 13–20].The FOM achieved by the state-of-the-art mm-wave CMOS LC-VCOs and ROs published in the last 11 years are shown in Figure9. Also in this case, as in Figure 7 relative to PN, it can be noted that in the lower part of the mm-wave range (below 60 GHz) LC-VCOs attain overall better FOM than ROs, but for very high frequencies FOM of ROs became comparable to that of LC-VCOs.Figure 9
Oscillator FOM versus oscillation frequency [6, 7, 9–11, 13–24].Figure10 shows FOM versus publication year. It can be noted that the trend in the last couple of years is that the FOM of LC-VCOs is still superior, but it is achieved for lower frequencies [6, 7] than the ROs in [10, 11]. In fact, the solutions in [10, 11] achieve FOM comparable to those of previous implementations of LC-VCOs at lower frequencies.Figure 10
Oscillator FOM versus publication year [6, 7, 9–11, 13–24].


## 3.1. SoA mm-Wave CMOS LC-VCOs

In [6] a 30 GHz quadrature VCO (QVCO) implemented in 0.13 μm CMOS technology is presented. The circuit schematic is shown in Figure 2. It exploits the use of a trifilar (1 : 1 : 1) transformer with a high quality factor (i.e., with respect to spiral inductors) in order to improve the PN performance. In fact, with respect to inductors, transformers can provide higher quality factors due to the mutual coupling between the spirals. The trifilar transformer couples two series cascaded cross-coupled VCO structures. The transformer couples in-phase and in-quadrature drain and source spirals, allowing for a reduction of device noise, parasitic capacitances, and power consumption. The PN is −114 dBc/Hz @ 1 MHz from the carrier frequency of 30.3 GHz. The power consumption amounts to 7.8 mW from a 0.6 V supply voltage.Figure 2
Schematic of the VCO presented in [6]. The two trifilar transformers of I and Q VCOs are highlighted in red and blue. Spirals couplings are represented by the thin arrowed lines. I and Q are VCO outputs.In [7], a 60 GHz Colpitts LC-VCO implemented in 90 nm CMOS technology is presented. The circuit schematic is shown in Figure 3. Although Colpitts oscillators have good PN performances, they suffer from the Miller capacitance effects, which cause an increase in the parasitic gate-drain capacitance of the MOSFET transistors. This issue is solved by combining a conventional Colpitts oscillator and a tuned-input tuned-output (TITO) oscillator [8]. In this way, start-up issues of the Colpitts oscillator have been solved, and phase noise performance improved (thanks to an extra LC-tank for noise filtering). The circuit consumes 7.2 mW from a 0.6 V supply voltage. The PN is −102 dBc/Hz @ 1 MHz offset from the carrier (57.6 GHz). The tuning range is 5.3 GHz (from 55.8 to 61.1 GHz).Figure 3
Schematic of the 60 GHz Colpitts LC-VCO presented in [7].In [9] a 140 GHz cross-coupled LC-VCO implemented in 90 nm CMOS technology by UMC is presented. The circuit schematic is shown in Figure 4. A low parasitic cross-coupled transistor layout is developed in order to achieve a high fundamental frequency. The VCO core has been biased through a p-MOSFET in order to reduce the flicker noise contribution to the overall close-in PN. Moreover, to minimize the load capacitance connected to the LC-tank, a two-stage tapered buffer has been used to drive the 50 Ω load. The VCO core consumes 9.6 mW from a 1.2 V voltage supply. The buffers consume 7.2 mW. The PN amounts to −75 dBc/Hz @ 1 MHz offset from the carrier frequency of 139.8 GHz.Figure 4
Schematic of the 140-GHz LC-VCO presented in [9].Table1 summarizes the main characteristics and performances of the aforementioned LC-VCOs.


## 3.2. SoA mm-Wave CMOS Ring Oscillators

In [10], 50 GHz and 60 GHz ring oscillators implemented in 0.13 μm CMOS are presented. The block diagram is shown in Figure 5(a). An interpolative-phase-tuning (IPT) technique is used to tune frequency of multiphase mm-wave LC-based ROs without using varactors (see Figure 5(b)). In order to vary the output frequency, the delay of each stage of the ROs is varied by means of tunable phase shifters. A fixed phase shift is used to introduce a delayed current i1 via M3 and M4; i1 is interpolated with the undelayed current provided by M1 and M2. The phase shift can be tuned from 0 to β by controlling the biasing dc current I0 and I1. Two output current-controlled oscillators (CCOs), with 4 and 8 phases, are implemented using this technique. The 8-phase CCO can be tuned from 48.6 to 52 GHz, and it consumes from 32 to 48 mW from a 0.8 V voltage supply. The 4-phase CCO can be tuned from 56 to 61.3 GHz and consumes from 30 to 37 mW. The PN of the 8-phase CCO amounts to −104 dBc/Hz at 1 MHz offset from the carrier (50.3). The PN of the 4-phase CCO is −95 dBc/Hz @ 1 MHz offset from the carrier (58.5 GHz).(a) Block diagram of the 50 and 60 GHz ring oscillators presented in [10]. (b) Schematic of Gm block of Figure 4(a): β is a fixed phase shifter implemented by a LC-based differential stage.
(a)
(b)In [11] two fundamental three-stage ROs implemented in a 0.13 μm CMOS process and oscillating at 104 GHz and 121 GHz, respectively, are presented. The circuit schematic is shown in Figure 6. A new design methodology for designing high-frequency oscillators has been developed. This method finds the best topology to achieve frequencies close to the maximum frequency of oscillation of the transistors. It is based on the activity condition of the transistors. A device is called active at a certain frequency, if it can generate power in the form of a single sinusoidal signal at that frequency [12]. This method determines also the maximum frequency of oscillation for a fixed circuit topology. Each stage of the implemented ROs is implemented using a double gate transistor with a substrate contact ring around the transistor and an inductive load. The measured peak output powers of the two oscillators are −3.5 dBm and −2.7 dBm at 121 GHz and 104 GHz, respectively. The DC power consumptions, including the output buffer, is 21 mW from a 1.28 V supply and 28 mW from a 1.48 V supply for the 121 GHz and 104 GHz oscillators, respectively. The PN at 1 MHz offset frequency is −88 dBc/Hz and −93.3 dBc/Hz for the 121 GHz and 104 GHz oscillators, respectively.Figure 6
Schematic of the 104 and 121 GHz ring oscillators presented in [11].The main figures of merit and performances of the aforementioned ring oscillators are presented in Table2.


## 3.3. Performance Trends in mm-Wave CMOS VCOs

PN versus oscillation frequency of SoA mm-wave CMOS LC-VCOs and ROs published in the last 11 years are shown in Figure7. It can be observed that PN performances of ring oscillators are becoming closer to those of LC-VCOs while moving towards very high frequencies.Figure 7
Oscillator phase noise performances versus oscillation frequency [6, 7, 9–11, 13–20].Figure8 shows PN versus publication year. It can be noted that in, the last couple of years, while in the low mm-wave range (30 GHz) the PN of LC-VCOs is still better (−114 dBc/Hz @ 1 MHz offset from 30 GHz [6]), at very high frequencies PN of RO becomes comparable to that of LC-VCOs, achieving a PN of −88 dBc/Hz @ 1 MHz at 121 GHz [11].Figure 8
Oscillator phase noise performances versus publication year [6, 7, 9–11, 13–20].The FOM achieved by the state-of-the-art mm-wave CMOS LC-VCOs and ROs published in the last 11 years are shown in Figure9. Also in this case, as in Figure 7 relative to PN, it can be noted that in the lower part of the mm-wave range (below 60 GHz) LC-VCOs attain overall better FOM than ROs, but for very high frequencies FOM of ROs became comparable to that of LC-VCOs.Figure 9
Oscillator FOM versus oscillation frequency [6, 7, 9–11, 13–24].Figure10 shows FOM versus publication year. It can be noted that the trend in the last couple of years is that the FOM of LC-VCOs is still superior, but it is achieved for lower frequencies [6, 7] than the ROs in [10, 11]. In fact, the solutions in [10, 11] achieve FOM comparable to those of previous implementations of LC-VCOs at lower frequencies.Figure 10
Oscillator FOM versus publication year [6, 7, 9–11, 13–24].


## 4. Conclusions

A review of the state-of-the-art of millimeter-wave CMOS VCOs has been presented. State-of-the-art LC-VCOs and ring oscillators have been presented and discussed, and their performances have been compared. The trends for VCO design and performance over the last decade have been traced and discussed.From these evaluations it appears that while moving in the higher part of the mm-wave spectrum (>60 GHz) phase noise and FOM performance of ring oscillators tend to become closer, and even comparable, to those of LC-VCOs, which are dominant at lower frequencies. Thus, ring oscillators appear to be a strong candidate for the implementation of CMOS VCOs operating at the higher region of the mm-wave frequency spectrum.



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*Source: 312618-2013-03-28.xml*