146 IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, VOL. 23, NO. 3, MARCH 2013 A Back-Gate Coupling Quadrature Voltage-Control Oscillator Embedded With Self Body-Bias Schema Janne-Wha Wu, Member, IEEE, Han-Hsin Wu, Kai-Cheng Hsu, Student Member, IEEE, and Chang-Chun Chen Abstract—A quadrature voltage-controlled oscillator was designed with back-gate coupling and embedded self body-bi1P6M CMOS asing and implemented with the TSMC 0.18 technology. Without using any extra negative bias-pin in the current-reuse structure, this embedded body-bias schema makes the switching transistors become forward body-biased in the duration of turn-on. It is not only beneficial for low-voltage operation, but also achieves a high oscillating output power ( ) with less supply power (2.5 mW). The percentage of frequency tuning range is 17.5% (from 4.60 to 5.48 GHz). The phase noise is at 1-MHz offset from the carrier frequency of 5.48 GHz. Index Terms—Back-gate coupling, CMOS, current-reuse, quadrature voltage-controlled oscillator (QVCO). I. INTRODUCTION S YNTHEESIS of quadrature (“I” and “Q”) signals is prerequisite for the implementation of CMOS transceiver with image-rejection (low-IF) or direct conversion (zero-IF) architecture. The most commonly used quadrature voltage-controlled oscillator (QVCO) employs two voltage-controlled oscillators (VCOs) of symmetrically gate-modulated LC-tank to cross-couple to each other. The way of coupling between these two VCOs can be in parallel [1] or in series [2]. Parallel-coupled one usually shows bad phase noise and takes higher power consumption [2]. Series-coupled one requires more supply voltage headroom and is unsuitable for low-voltage operation. In the aspects of phase noise and power dissipation, the presence of the additional coupling transistors used for quadrature coupling between two differential VCOs is inferior. One approach to achieve quadrature coupling without additional coupling transistors is transformer-feedback. A feedback coupling method by an on-chip transformer [3] is capable for low voltage operation, but behaves with narrow frequency tuning range. At the same time, there were some efforts devoted to the study of back-gate (body) coupling [4] in QVCO. No extra transistor is used for the quadrature coupling between two differential VCOs. Therefore, the penalty of the additional Manuscript received October 25, 2012; accepted January 10, 2013. Date of publication February 22, 2013; date of current version March 07, 2013. This work was supported in part by the National Science Council of Taiwan under Grant NSC 99-2622-E-194-006-CC3. J.-W. Wu is with the Department of Communications Engineering and Department of Electrical Engineering, National Chung Cheng University, Chia-Yi 62102, Taiwan (e-mail: jwwu@ee.ccu.edu.tw). H.-H. Wu, K.-C. Hsu, and C.-C. Chen are with the Department of Electrical Engineering, National Chung Cheng University, Chia-Yi 62102, Taiwan. Color versions of one or more of the figures in this letter are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/LMWC.2013.2242325 coupling transistor over the phase noise is removed and also the power consumption is reduced due to fewer transistors being used in the chip. Another way to reduce the power consumption is the current-reuse topology that uses series stacking of Nand P-MOSFETs [5]. In [6], a back-gate coupling QVCO with current-reuse structure was demonstrated. However, it uses two different external dc voltages and for the body bias and then the body bias would be fixed to forward or reverse such that the threshold voltage is also fixed. This letter proposes a QVCO topology employing an embedded self body-bias to enhance the current driven ability of the switching transistor without using any extra bias pin and negative voltage supply. Meanwhile, higher oscillating output power is available even with less dc power consumption. This feature is good for the frequency synthesizer to play the role of LO supplier. The proposed circuit was implemented with the TSMC 0.18 mm 1P6M CMOS technology. II. PROPOSED QVCO DESIGN Fig. 1 is the schematic drawing of the proposed QVCO. It adopts two pairs of series connected P-/N-MOS switching transistors ( and - ). Each pair of switching transistors with LC tank ( and ) constitutes a current-reused differential VCO. Two pairs of MOS-varactors are used in the LC tank. The body of switching transistor is not only tied to the drain node of itself through a resistor, but also connected to the drain node of another switching transistor via a capacitor. Therefore, the body of each switching transistor also plays as the quadrature-phase coupling node. The corresponding node voltages and the drain current around the transistor as circled with dashed line in Fig. 1 are shown in Fig. 2. In this design, is not fixed-biased, but dynamically varied. It is simultaneously dependent on the drain voltage of itself ( ) and that of ( ). The relationship between them can be expressed as (1) For the operation of MOSFET, the threshold voltage ( ) not only depends on the , body-effect coefficient and the substrate’s Fermi potential . In the dashedbut also varies according to the body voltage becomes arrow-line region II of Fig. 2, it is clearly seen that becoming higher than . It reforward body-biased as . More oscilsults in the reduction of the threshold voltage lating current and voltage headroom is available at this moment. Higher oscillating current is beneficial for the achievement of 1531-1309/$31.00 © 2013 IEEE Authorized licensed use limited to: INDIAN INSTITUTE OF TECHNOLOGY DELHI. Downloaded on June 26,2023 at 11:13:38 UTC from IEEE Xplore. Restrictions apply. WU et al.: A BACK-GATE COUPLING QUADRATURE VOLTAGE-CONTROL OSCILLATOR EMBEDDED WITH SELF BODY-BIAS SCHEMA 147 Fig. 3. Chip photograph of the proposed QVCO. (Size: 1.25 including pads). 0.677 , Fig. 1. Schematic of proposed back-gate-coupled and self-body-biased QVCO ). (If not specified in the figure, the transistor gate length is 0.18 Fig. 4. Tuning ranges of proposed QVCO. Fig. 2. The simulated node voltages and drain current of transistor cled with dashed line in Fig. 1. as cir- higher oscillating power. In the region I & III, or being less than , the drain current is suppressed. Ideally, the current-reuse structure should have NMOS clearly shutdown outside the dashed-arrow-line region of Fig. 2. Compared with the fixed body-biasing, the NMOS body of the proposed topology happens to be reverse-biased and also becomes lower in this duration. Consequently, the current flow is suppressed more due to the increase of . Similarly, it also applies to the operation of PMOS. So, this embedded body-bias schema can save the dc power consumption more than that of the conventional current-reuse structure with fixed body-bias. In this asymmetric structure, the coupling strength must be set by properly choosing the transistor sizes, the values of the capacitors ( ) and the resistors ( ). The coupling strength will impact on the phase error and phase noise significantly. The resistors should be large enough to prevent from the coupling signal passing through it. Different resistor values are used for NMOS and PMOS so as to adjust the coupling strength. In order to clarify that the dynamic body bias will not worsen the phase noise too much, the source resistive degeneration technique [7] was not used in this design. Fig. 5. Measured phase noise at frequency : 5.48 GHz). and (carrier III. EXPERIMENTAL RESULTS The chip photograph of the proposed QVCO is shown in Fig. 3. The chip area is 0.85 (1.25 0.677 ) including pads. This circuit was fabricated by the TSMC 0.18 1P6M CMOS technology. As shown in Fig. 4, the proposed QVCO can be tuned from 4.60 to 5.48 GHz with the control voltage from 1.7 V to 0 V. The total tuning range available is 840 MHz (17.5%). Fig. 5 shows the simulated and measured phase noise at the frequency of 5.48 GHz. The measured phase noise is at 1 MHz offset from the carrier frequency of 5.48 GHz. Although the current swing is large but distorted due to the time-varied threshold voltages and node-voltages, as checking the spectrum, all of the undesired harmonics are more than 20 dB below the fundamental one. The simulated phase error is 1.6 . The measured one after calibration is around 5 . By analyzing with simulation, phase error can be improved by properly choosing the PMOS/NMOS feature size, the resistors ( ) and the capacitors ( ) to minimize the imbalance of coupling strength. Authorized licensed use limited to: INDIAN INSTITUTE OF TECHNOLOGY DELHI. Downloaded on June 26,2023 at 11:13:38 UTC from IEEE Xplore. Restrictions apply. 148 IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, VOL. 23, NO. 3, MARCH 2013 COMPARISON OF TABLE I QVCOS’ PERFORMANCE. Table I summarizes the major performances of the proposed QVCO compared to those of some reported QVCOs in the frequency range of 5 to 7 GHz. Most of the reported results about the VCO output power are the direct readings after the output buffers [9]–[11]. In order to spotlight the output power ability of the core circuit, the buffer stage in this study is intentionally designed with no gain. Since the measured oscillating output power after the buffer stage is ( ), the output power of this QVCO core circuit definitely equals to . Hence, a marking “0 dB buffer gain” is specified in the Table I to discriminate this data from other works. The core circuit takes 2.5 mW from 1 V power supply. Even though the contribution of buffer stage is not taken into consideration, it shows better conversion efficiency between output power and dc power consumption. The overall performance is evaluated by three different figure-of-merits (FoM) in Table I. The 2nd and 3rd ones (FoM_P & FoM_PTR) take more considerations over the factors of output power and tuning range in percentage. IV. CONCLUSION In the RF circuit integration, the output power of VCO must meet the requirement of mixer’s LO input. Although the addition of buffer amplifier can well support the requirement of LO input, it should be fair to include the power dissipation of the buffer amplifier into the overall power consumption. On the other hand, any effort devoted to the output power enhancement of VCO core circuit will bring about new challenges on the phase noise and the dc power dissipation. This is the reason why FoM_P and FoM_PTR are referred in Table I. Two works [8], [12] referenced in Table I have the same or better FoM performance than this structure under the considerations of output power and tuning range. Both of them use four sets of PMOS/NMOS pair in parallel. As a consequently, they take more dc power consumption than this work. But, more flexibility is available for them to achieve good phase noise. In this work, two sets of PMOS/NMOS pair are used in parallel. An embedded body bias schema simplifies the body bias. No external body bias is required and the adjustment of is dynamic. 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