IEEE 2009 Custom Intergrated Circuits Conference (CICC) A 60 GHz CMOS Combined mm-wave VCO/Divider with 10-GHz Tuning Range Burak Çatlı and Mona M. Hella Electrical, Computer, and Systems Engineering Department Rensselaer Polytechnic Institute, Troy, New York 12180-3590 e-mail: {catlib, hellam}@rpi.edu Abstract—This paper proposes the use of N-push operation for combining the functions of the VCO and dividers in the mm-wave frequency range. If employed in a PLL, the combined VCO/divider (C-VCO/D) would potentially provide wider tuning range than traditional mm-wave PLLs employing injection locked frequency dividers, thus exploiting the full range available in the 60GHz band (57GHz-64GHz). The C-VCO/D is fabricated in 130nm IBM CMOS technology and achieves a tuning range from 55GHz-65GHz using a VDD=1.5V, Icore =20mA, and Ibuf f er =15mA. The C-VCO/D has a phase noise of 97.1 dBc/Hz at 1MHz Offset. I. I NTRODUCTION Recently, there has been a growing interest in utilizing CMOS technology for transceivers operating in the millimeterwave frequency band for applications that include but are not limited to wireless high-definition TV, automotive radars, networking, imaging, etc. For frequency generation, 60 GHz applications introduce severe difficulties at the circuit and system levels. As the operation frequency moves to the mmwave range, the size and quality factors of the employed resonator elements (inductor and capacitor) are affected in different ways. Table-I shows a comparison between passives’ size and quality factor at two different technology nodes for RF and mm-wave frequencies [1]. While it is expected that the high operation frequency stores more energy for a given inductor, increasing its quality factor, EM simulations show that inductor Q does not scale with frequency and tends to saturate around a certain value due to high electrical and magnetic losses at the mm-wave range. As inductors’ performance remain below expected, varactor performance tends to deteriorate compared to RF frequencies. Thus, the tank Q is not only dominated by the inductor’s quality factor but the varactors’ as well, affecting both phase noise and output power. In addition, supporting wide bandwidth requirement for higher bit rate applications, imply not only wide tuning range VCO with appropriate phase noise and output power, but also a PLL that is capable of locking within the given bandwidth. In a typical mm-wave PLL, injection-locked frequency dividers (ILFD) followed by Miller and static dividers are normally used in the divider chain [2]. However, the limited locking range of ILFD as well as the possibility of mismatch between its locking range and the VCO tuning range as shown in Fig. 1a,b can limit the overall attained bandwidth of the 978-1-4244-4072-6/09/$25.00 ©2009 IEEE TABLE I C OMPARISON FOR S CALING T ECHNOLOGY AND O PERATION F REQUENCY Technology fT Inductor Q Varactor Q Inductor Dimensions 5 GHz 0.25 µm 20 GHz 10 40-160 100-120 µm 60 GHz 90 nm 120 GHz 30 5-20 60-80 µm Fig. 1. Motivation for combined VCO/divider, (a) typical mm-wave PLL employing ILFD, (b) bandwidth performance limitations due to finite locking range of ILFD and possible mismatch in the center frequencies, (c) mm-wave PLL employing combined VCO/divider, (d) using triple push oscillators as combined VCO/divider with the potential of tripling the effective tuning range of the core oscillator. mm-wave PLL regardless of the VCO’s tuning range. Published mm-wave PLLs have reported a tuning range between 320MHz to 4.6GHz using ILFD [2]-[6]. In this paper, we propose the use of N-push operation for combining the functions of the mm-wave VCO and dividers as shown in Fig. 1c and Fig. 1d. If employed in a mm-wave PLL, the combined VCO/divider would provide a tuning range that exploits the full range available in the 60GHz band (57GHz-64GHz). The paper is organized as follows, section II discusses the analogy between N-push operation, and ILFDs. Section III presents the details of the circuit design of the core oscillator and combined VCO/divider. Measurement results are given in Section IV, while conclusions are drawn in Section V. 22-2-1 665 Fig. 2. II. N- PUSH Triple push operation. OSCILLATORS AS COMBINED VCO Fig. 3. (a) Schematic of Colpitts oscillator, (b) Variation of negative resistance versus varactor capacitance. AND DIVIDER The ”phase locking” mechanism in PLLs involve aligning the output phase of the divided or ”down-converted” VCO signal with the phase of a reference clock. A mixer for example can act as the frequency divider but it lacks the phase relationship between its RF and LO ports. ILFDs on the other hand have been used extensively in mm-wave PLL design. In theory, ILFDs can be considered as an oscillator with a specific phase condition between the injected signal and its free running frequency along the locking range. It can also be viewed as a reverse push-push oscillator, where in a push-push oscillator the second harmonic of the oscillator is obtained at the common node of the oscillator, while the input signal of ILFD is injected to common node and a divided signal is obtained as the fundamental component. Thus fundamentally, having a mm-wave oscillator followed by an ILFD in a PLL loop is basically equivalent to having two independent oscillators that are attempting to achieve locking condition. This involves matching the locking bandwidth to the tuning band of the VCO, aligning center frequencies, as well as providing the required output power by the oscillator to drive the ILFD. Now, let us consider an N-push oscillator (for example N =3) as shown in Fig. 2. Because of the excess phase nxπ/N (where n = 0, 1, .. and n < N ) created by N-push operation, all the lower order harmonics are canceled while the in-phase N th harmonics are combined. In the light of the former discussion, an N-push oscillator is analogous to a combined oscillator/ILFD, where the phase locking condition is intrinsically satisfied due to the N-push operation. The main advantage of the N-push configuration is that the ”divided” signal is already present at the output of the fundamental oscillator. Avoiding the division process in a typical mmwave PLL results in maintaining the complete tuning range of the VCO. This is in contrast to the VCO followed by ILFD where any mismatch between the center frequencies or limited locking range would results in reduced bandwidth [4] of the PLL as shown in Fig. 1b. In addition, higher order push oscillators provide lower frequency at the output of the fundamental oscillator which can be considered as the ”divided signal”. For example a 3-push oscillator would provide a 20 GHz signal, enabling the use of just static dividers with wider operation range rather than Miller or additional ILFDs in the PLL chain. As a standalone oscillator, the C-VCO/D has several advantages. Given that the fundamental signal is generated at one N th of the mm-wave signal, the fundamental oscillators should have lower phase noise due to better quality factor varactors in the lower frequency range as shown in Table-I. In addition, since the generated signal is the N th harmonic of the fundamental, the output tuning range is N times that of the fundamental oscillator (Fig. 1d). Finally, an N-push oscillator utilizes the phase noise enhancement advantage of coupled oscillators. III. C IRCUIT D ESIGN The N-push operation in the C-VCO/D is satisfied using a triple push oscillator. The core oscillator in the triple push configuration is based on a Colpitts topology as shown in Fig. 3a. The tank varactor controls the tuning range of the Colpitts oscillator. However, while determining the required range of varactor capacitance CV for a specific tuning characteristics, one must also consider the variation of the equivalent negative input resistance of the circuit Rx with CV , where Rx can be expressed as in the following: Rx = 2 gm2 + ω 2 (Cgs + Cv ) 1 =− Re {Yin (ω)} ω 2 gmCgs Cv (1) For a given power consumption, the optimum negative input resistance is obtained when varactor capacitance Cv is equal to Cgs . However, as can be seen from Figure 3(b), as Cv reduces below this point, the input negative resistance decreases rapidly. The transistor level schematic of the combined VCO/Divider (C-VCO/D) is shown in Fig. 4. Three identical core oscillators are coupled to each other at source and gate terminals through the inductor network. The common nodes are driven through large value resistors Rb and Rc to avoid any undesired even mode oscillation. The source capacitors are implemented as accumulation mode varactors. While the core oscillators are connected together to meet the phase condition for triple-push operation, a number of common source amplifiers with resistive loads are used to combine and amplify the 3rd harmonic signal. Given the low output power limitation of harmonic based oscillators, this additional power boosting is required to enhance the output 22-2-2 666 Fig. 6. Die micrograph. TABLE II C-VCO/D D ESIGN PARAMETERS Fig. 4. Osc. Name C-VCO/D-1 C-VCO/D-2 C-VCO/D-3 C-VCO/D-4 Schematic of combined VCO/divider. Cs Var.* MIM Var.* Var.* LT 19@GHz 262pH 262pH 206pH 140pH Q @19GHz 20.5 20.5 20.7 21.3 D 120 µm 120 µm 100 µm 80 µm 5 5 5 6 W µm µm µm µm and source inductor. Extensive EM simulations are performed to select the proper layer for the resonator inductor. Although the 8th metal layer is thicker than 7th metal, according to Momentum simulation results, 7th metal (Cu) gives better Q with respect to 8th metal for the same geometry. This can be attributed to 8th metal’s slightly higher sheet resistance and higher sidewall capacitance. In the light of EM simulations, the resonator inductor is built using 7th metal. To relax the routing and obtain a more compact structure, 8th metal is used for the source inductor. Since the nested configuration may cause undesired loss due to the coupling between source and resonator inductor, the resonator inductor is simulated over a wideband as a stand-alone inductor and in nested configuration. According to Momentum simulation results, the resonator inductor has a negligible Q loss at 20 GHz as shown in Fig. 5d. IV. E XPERIMENTAL R ESULTS Fig. 5. Effect of floor planning and the coupling between nested inductors on the performance of passives in the proposed circuit. signal level. The output buffers are combined in an open drain configuration and drive the pad as shown in Fig. 4. Using octagonal geometry for the output pad, its capacitance is kept as low as 32f F . The bandwidth of the output stage determined by the pad capacitance together with other parasitics and the 50 Ω load is estimated to be around 80 GHz. Floor planing and layout are extremely critical for mm-wave frequencies, particularly for the case of the proposed circuit based on triple-push operation. If we consider the floor plan shown in Fig. 5a where the resonator inductors and source inductors are grouped separately, the interconnect length in this case is comparable to the resonator inductor and the circuit tends to occupy large area. In addition, its connection to the output RF pad becomes problematic. The second floor plan shown in Fig. 5b uses the technique of nested inductors [1], thus the interconnect length and occupied die area are greatly reduced and the RF pad can be connected directly to the output node. The top two metal layers are used to realize the resonator The C-VCO/D is implemented in a eight-metal 0.13μm IBM CMOS technology. The micrograph of the fabricated CVCO/D is shown in Fig. 6. The die is mounted on a FR-4 board and all the DC and control inputs are applied through bondwires. The measured single ended mm-wave output is taken from open drain buffers as shown in Fig. 4, supplied through off-chip bias-tee. Agilent E4448A spectrum analyzer in conjunction with an Agilent 11970U down-conversion mixer are used to test the C-VCO/D’s output. Four different C-VCO/D with three different inductors are realized as shown in Table-II. Initial measurements for CVCO/D-1,2 and 3 were completed, however C-VCO/D-4 requires 11970V mixer as the oscillation frequency is expected around 70 GHz. C-VCO/D-3 is designed to cover 57-64 GHz bandwidth while the other versions are designed to account for modeling inaccuracies and for further characterization. Fig. 7a shows the tuning range of C-VCO/D-3 for VDD=1.5V, Icore =20mA, Ibuf f er =15mA. The C-VCO/D has a tuning range of 10 GHz that covers all ISM band leaving margins at both end for possible process variations and temperature 22-2-3 667 Fig. 8. Fig. 7. (a) Tuning characteristics of C-VCO/D-3 based on triple push operation, (b) variation of output power over the tuning range, (c) and (d) Spectrum at lower and higher ends of tuning range. changes. For the same setup, the deviation of output power with control voltage is given in Fig. 7b. Since external mixer 11970U has no conversion gain specification beyond 60 GHz, the output power could not be measured beyond this frequency. Finally, Fig. 7c and Fig. 7d show the spectrum at the borders of the tuning range. While C-VCO/D-3 covers the whole ISM band at 60GHz, C-VCO/D-1 has a much narrower tuning range as shown in Fig. 8 (VDD=1.2V). The measurements are repeated under different supply voltages and bias currents. The tuning range trend seen in Fig. 8 is observed in all cases suggesting that higher biasing currents reduces the tuning range. The narrower tuning range of C-VCO/D-1 can be attributed to its higher inductor size that increases the parasitic coupling between the individual resonators as shown in Fig. 5b. In addition, as the potential of the common gate bias terminal (V bias) increases for a specific output power, the higher inductance of C-VCO/D-1 causes severe nonlinearities for the same bias current, creating additional components in the spectrum that disturb the triple-push operation before the buffers have enough gain. The above discussion suggests that independent bias is required for the core circuits and the combiner buffers to guarantee proper operation. Limited by the availability of low noise supply for the tuning voltages, only C-VCO/D-2’s phase noise is characterized. Fig. 9 shows the measurement result for VDD=1.4V, Icore =24mA, Ibuf f er =26mA. According to measurement results, the C-VCO/D has a phase noise of -97.1 dBc/Hz at 1MHz offset from the carriers, while the simulated phase noise is -98.1dBc/Hz for the same bias setup. Considering the noisy supply, it can be stated that the simulations and measurement Fig. 9. The measured tuning range of C-VCO/D-1 (a) Measured and (b) simulated phase noise of C-VCO/D-2. result are in good agreement with 1dB error range. V. C ONCLUSION A combined mm-wave oscillator/divider is presented in 130nm CMOS technology. The proposed C-VCO/D relies on triple-push operation, where three coupled oscillators at 20GHz are connected together to satisfy phase locking condition at 60Ghz. The proposed circuit eliminates the requirement for 60GHz ILFDs which limits the achievable tuning range of typical mm-wave PLLs. A 10GHz tuning range is achieved with phase noise and output power levels that are comparable to reported mm-wave fundamental oscillators. ACKNOWLEDGMENT The authors acknowledge RF Micro Devices and Agilent Technologies for assembly and measurement support. R EFERENCES [1] B. Razavi, ”Design of Millimeter-Wave CMOS Radios: A Tutorial,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol.56, no.1, pp.4-16, Jan. 2009 [2] J. Lee ; M. Liu; H. 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