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A 1.55 GHz to 2.45 GHz Center Frequency Continuous-Time Bandpass Delta-Sigma Modulator for Frequency Agile Transmitters Martin Schmidt, Markus Grözing, Stefan Heck, Ingo Dettmann, Manfred Berroth Dirk Wiegner, Wolfgang Templ, Andreas Pascht Institute of Electrical and Optical Communications Engineering University of Stuttgart, Stuttgart, Germany Alcatel-Lucent Bell Labs Stuttgart Stuttgart, Germany Abstract—This paper presents a 4th order continuous-time bandpass delta-sigma modulator (CT-BPDSM) with a programmable center frequency ranging from 1.55 GHz to 2.45 GHz. The modulator is suited to be applied in multistandard class-S power amplifiers. The circuit features a multi-feedback architecture with return-to-zero (RZ) and half-return-to-zero (HRZ) pulses. The loop filters consist of LC-resonators with emitter degenerated input transconductors and Q-enhancement circuits. A configuration register allows to program the resonator input transconductors, the Q-enhancement circuits and the resonator capacitances with 5 bit resolution. Fine tuning of the resonator center frequency is achieved with varactors. The circuit is implemented in a 200 GHz-fT SiGe-bipolar technology. The measured SNR at 2.2 GHz center frequency is 45.5 dB in a bandwidth of 20 MHz. At 1.55 GHz the SNR decreases to 40.7 dB. The measured uplink UMTS-FDD ACLR (adjacent channel leakage power ratio) of the modulator output is 48.4 dB in the first adjacent channel. Index Terms — Delta-sigma modulator, class-S power amplifier, bipolar integrated circuit. conventional linear PA is replaced by a power efficient switching-mode amplifier. The pulse sequence for the switching-mode amplifier input is generated from the analog RF-signal by a continuous-time bandpass delta-sigma modulator (CT-BPDSM). A bandpass filter reconstructs the analog signal at the output of the PA (Fig. 1). I. INTRODUCTION The strong growth of mobile communications has led to many different standards. Users expect their mobile terminals to work in any environment and at different locations, whereas operators want to minimize their hardware effort by reconfigurable or programmable base station equipment. As a result, mobile terminals as well as base stations should provide access to several coexisting standards in different frequency bands. The coding schemes in recent standards like UMTS (Universal Mobile Telecommunications System) exhibit higher peak to average power ratios (PAPR) than older ones like GSM (Global System for Mobile communications). This turns out to be a severe problem for the power amplifier (PA) in the transmission chain: The higher the PAPR the higher the back-off a conventional linear PA has to provide and thus the lower the power efficiency will be. The multitude of coexisting standards and the PA power efficiency are two of the most important issues that suppliers of RF transmitters have to face in the next years. The class-S concept is seen as an attractive solution to both – power efficiency and multi-standard, multi-band operation [1, 2]. In a transmission chain with class-S concept the In the long term digital delta-sigma signal processing in CMOS [3, 4] with upsampling from base band to the switching-mode amplifier input is considered as both costand energy-efficient. However, the required clock frequency for signal frequencies above 2 GHz is not reached yet with current CMOS technologies. With a continuous-time BPDSM higher signal frequencies can be achieved due to fast analog signal processing. As an analog RF input signal is required, only the PA is replaced by the switching mode amplifier and the reconstruction filter in the transmission chain. This allows for upgrades of existing RF transmitters. As well, CT-BPDSMs remain the only solution for modulators in class-S amplifiers with signal frequencies well beyond 2 GHz in the near future. The experimental results of a CT-BPDSM with a fixed center frequency at 2.2 GHz will be presented elsewhere [5]. This work describes a CT-BPDSM for multiband operation. The paper is organized as follows: In Section II the architecture of the modulator and the most important circuit blocks are described. Measurement results are presented in Section III and in Section IV a short conclusion is given. Figure 1. Block diagram of a class-S power amplifier II. CIRCUIT DESIGN A. System architecture Fig. 2 shows the block diagram of the circuit. A multifeedback architecture with RZ and HRZ pulses is used for the modulator [6]. HRZ pulses are generated by a latch with a subsequent RZ latch. The feedback currents k1r, k1h, k2r and k2h can be controlled by externally applied currents via current mirrors. Each transconductor is set up of 5 binary weighted stages that can be switched on and off separately. Currents Ictrl from the configuration register control the bias voltage Vb of the current source of the individual transconductors via the circuit in Fig. 3 (c) and thus allow the individual stages to be switched on and off. Figure 2. Modulator block diagram with configuration register and programmable transconductors Gq and Gm and LC-resonator capacitors. The Gq transconductors compensate for resistive losses in the resonator. The transconductors Gm allow to control the resonator voltage swing. The transconductors are decoupled at the input by emitter followers. All transconductances and the capacitances in the resonators can be controlled separately via a configuration register with a resolution of 5 bit. In order to prevent metastability of the clocked comparator a preamplifier is used. The preamplifier introduces additional excess loop delay. The loop delay is compensated by driving the comparator with a clock signal that is delayed versus the clock signal of the digital to analog converters (DAC). Layout caused parasitic effects that influence the excess loop delay are minimized by a signal flow oriented layout of the clock and the signal path. B. Programmable transconductance The lower end of the modulator dynamic range is governed by the noise currents that are injected into the resonators by the loss of the inductors, by the switchable capacitors and by the transconductors. The upper end of the dynamic range is limited by the transconductors’ nonlinearity. For a large dynamic range, low-noise transconductors with high linearity are needed. This can be achieved with emitter-degenerated differential pairs. Fig. 3 shows two different topologies for the emitter degeneration. The transconductor in Fig. 3 (a) requires a higher supply voltage due to the series resistor. For this circuit only the differential pair transistors and degeneration resistors have a significant noise contribution. The noise of the common current source transistor and degeneration resistor appears as a common mode voltage at the differential output. The circuit in Fig. 3 (b) exhibits more circuit noise. The noise currents that are generated by the two current source transistors and current source degeneration resistors couple into the two complementary outputs separately. The current source noise is not converted to a common mode signal at the differential output. The difference in noise power at the differential outputs was simulated to be 4.6 dB, therefore the transconductor in Fig. 3 (a) is chosen for this design. C. Programmable resonator capacitance The capacitance of the differential LC resonator consists of two fixed capacitors Cfix connected to ground, five binary weighted capacitors Ci with switches si for coarse tuning and a varactor Cvar for fine tuning. Fig. 4 shows the circuit that implements a switchable differential capacitor Ci. It consists of two capacitors Ci that are connected to the differential signal lines with one plate and to the emitters of switchable emitter followers with the other plate. If the emitter followers are switched on by Ictrl, both capacitors are connected between one of the differential signals and a complementary signal replica that is generated by the emitter follower. For Ictrl = 0 the capacitors are floating and the effective capacitance between the differential signal lines is minimized. The total effective capacitance Ceff between the differential signal lines can be calculated as Ceff = Cfix + ∑ si Ci + C var 2 i =1K5 with si ∈ {0,1} . Ictrl I0/2 I0/2 Vb c) Figure 3. Two types of emitter degenerated transconductors. (a) series degeneration, (b) shunt degeneration. (c) bias control. Ci Ci Figure 4. Switchable capacitor Ci with emitter followers that generate differential replica signals. The chip is implemented in a 200 GHz ft SiGe bipolar technology (B7HF200) from Infineon and occupies a chip area of 2.2 mm2. A chip photograph is shown in Fig. 5. The measurement setup consists of a Rohde&Schwarz SMF100A for the generation of the clock signal, a SMU-200 for sinusoidal and modulated RF input signals and the spectrum analyzer FSQ-8. Measurements are automated with GPIB and read out with Matlab. 180°-hybrid directional couplers are used for single-ended-to-differential conversion for the clock and the input signal and for the differential-to-singleended conversion of the output signal. The clock frequency is 7.5 GHz for all measurements. The output spectrum for an input signal frequency of 2.2 GHz can be seen in Fig. 6. The measured single-ended output signal swing is 250 mV. The circuit draws 1.06 W from a 3.1 V supply including the bipolar configuration and control circuitry. Output signal and noise power in a bandwidth of 20 MHz are plotted in Fig. 7 versus the input power. The change from linear operation to compression is very abrupt. The modulator starts to get saturated for an input power about one dB below the 1-dB compression point. This is also exactly the point where the output power begins to deviate from its linear increase with the input power. Therefore a reasonable estimate for the peak SNR within the linear operation range is measured one dB below the 1-dB compression point. The noise power density is measured at 10 MHz offset from the carrier. The noise power is flat in a bandwidth of at least 25 MHz around the carrier (see also Fig. 9). The measured peak SNR is 45.5 dB in a bandwidth of 20 MHz. The output signal and noise power is plotted versus the center frequency tuning range in Fig. 8. Output and noise power are measured at the point of the peak SNR described above. While the output power saturates at about the same power level for all frequencies, the noise power increases for lower signal frequencies. This is caused by the decreasing Q factor of the resonator for lower frequencies. However, the measured peak SNR at 1.55 GHz is still 40.7 dB. The dissipated power increases moderately from 992 mW at 2.45 GHz to 1.27 W at 1.55 GHz. This is due to the current that is consumed by the emitter followers in the switchable capacitors Ci. The peak SNR of the modulator could be made even larger with a better Q factor of the resonators. Unfortunately the programmable Q-enhancement circuits are too weak to cancel all the resonator losses. This is due to an underestimation of the resonator losses in the design process and will be corrected in future designs. One of the most important criteria for RF transmitters is the adjacent channel leakage power ratio (ACLR). The power ratio of modulated UMTS-FDD (frequency division duplex) uplink and downlink signals is measured (Fig. 9). For uplink transmission, the modulator reaches an ACLR of 48.4 dB and 49 dB for channels that are 5 MHz and 10 MHz offset from the carrier, respectively, at an input power level of -11dBm. For a UMTS-FDD downlink signal the measured ACLR is 42.8 dB at 5 MHz offset and 43.5 dB at 10 MHz offset at an input power level of -17 dBm. Figure 5. Chip photograph -20 -30 Output power [dBm] EXPERIMENTAL RESULTS -40 -50 -60 -70 -80 0 1 2 3 4 5 Frequency [GHz] 6 7 Figure 6. Measured modulator output spectrum at 2.2 GHz input signal frequency. The spectrum analyzer resolution and video bandwidths are 1 MHz, the sweep time is 10 s. 0 1 dB compression point -10 Output power [dBm] III. -20 -30 Pout peak SNR -40 -50 Pnoise -60 -40 -35 -30 -25 -20 -15 -10 -5 0 Input power [dBm] Figure 7. Output power and noise power in a bandwith of 20 MHz at 2.2 GHz input signal frequency. 1-dB compression point and peak SNR (within linear operation range) indicated. 0 -5 A comparison of delta-sigma modulators in the GHz frequency range is given in Table I. This is the first tunable modulator that reaches signal frequencies beyond 2 GHz while using a moderate clock frequency of 7.5 GHz that is suited for switching mode RF power amplifiers. Pout -10 Power [dBm] -15 -20 CONCLUSION -25 -30 -35 -40 Pnoise -45 -50 -55 1.55 1.65 1.75 1.85 1.95 2.05 2.15 2.25 2.35 2.45 Frequency [GHz] Figure 8. Output power and corresponding noise power in a bandwidth of 20 MHz versus modulator center frequency measured at the point of the peak SNR as indicated in Fig. 7. A CT-BPDSM with a continuous center frequency tuning range of 900 MHz is presented for the first time. The large tuning range is based on configurable resonator capacitors that are implemented with switchable emitter followers. Moreover, input and Q-enhancement transconductors are configurable. The measured SNR in 20 MHz bandwidth is 45.5 dB at a signal frequency of 2.2 GHz while the modulator consumes 1.06 W from a 3.1 V power supply. The UMTS-FDD ACLR for uplink transmission is 48.4 dB and thus well beyond the requirements. The SNR and the ACLR can be further improved by extended Q-enhancement circuits. ACKNOWLEDGMENT -30 The authors thank Infineon technologies for layout and tape-out support. -35 Output power [dBm] -40 -45 REFERENCES -50 [1] -55 -60 -65 -70 -75 -80 -85 2.19 2.195 2.2 2.205 2.21 Frequency [GHz] Figure 9. ACLR measurement for UMTS FDD downlink transmission. The signal is centered at 2.2 GHz, the adjacent channels at ±5 MHz and ±10 MHz are marked with a hatching pattern. TABLE I. COMPARISON OF DELTA-SIGMA MODULATORS IN THE GHZ FREQUENCY RANGE Ref. Process fsignal [GHz] fclock [GHz] SNR [dB] [7] SiGe 1 4 53 4 59 350 [8] InP 1.4 4 76 1 76 7700 [9] BiCMOS 2 40 52 120 72.8 1600 [10] BiCMOS 0.95 3.8 59 1 59 75 [5] SiGe 2.17 7.5 45 20 58 450 this work SiGe 2.2 7.5 45.5 20 58.5 1060 1.55 7.5 40.7 20 53.7 1270 *normalized to a bandwidth of 1 MHz BW [MHz] SNR* [dB] Power [mW] J. Ketola, J. Sommarek, J. Vankka and K. Halonen, "Transmitter utilising bandpass delta-sigma modulator and switching mode power amplifier," ISCAS 2004, pp. 633-636, May 2004. [2] M. Iwamoto, A. Jayaraman, G. Hanington, P. F. Chen, A. Bellora, W. Thornton, L. E. Larson and P. M. Asbeck, "Bandpass delta-sigma class-S amplifier," IEEE Electronics Letters, vol 36, no. 12, pp 10101012, June 2000. [3] T. Alpert, M. Schmidt, I. Dettmann, T. Veigel, M. Grözing, M. Berroth, “Concept for a 12-bit Digital Bandpass Delta-Sigma Modulator for Power Amplifier Applications,” ESSCIRC 2008, Fringe P1, Sept. 2008. [4] A. Frappé, B. Stefanelli, A. Flament, A. Kaiser, A. Cathelin, “An alldigital delta-sigma RF signal generator for mobile communication transmitters in 90 nm CMOS”, RFIC 2008, pp. 13-16, June 2008. [5] M. Schmidt, S. Heck, I. Dettmann, M. Grözing, M. Berroth, D. Wiegner, W. Templ, “Continuous-time delta-sigma modulator for a signal frequency of 2.2 GHz,” to be published at the German Microwave Conference (GeMiC) 2009, Munich, Germany. [6] O. Shoaei and W. M. Snelgrove, "A multi-feedback design for LC bandpass delta-sigma modulators," ISCAS 1995, vol. 1, pp. 171-174, May 1995. [7] Weinan Gao; Cherry, J.A.; Snelgrove, W.M., "A 4 GHz fourth-order SiGe HBT band pass ΔΣ modulator ," VLSI Circuits 1998, pp.174175, June 1998. [8] L. Luh; J. Jensen; C.-M. Lin; C.-T. Tsen; D. Le; A. Cosand; S. Thomas; C. Fields, "A 4 GHz 4th-Order Passive LC Bandpass DeltaSigma Modulator with IF at 1.4 GHz," VLSI Circuits 2006, pp.168169, 2006. [9] Chalvatzis, T.; Voinigescu, S.P., "A low-noise 40-GS/s continuoustime bandpass Delta-Sigma ADC centered at 2 GHz," RFIC 2006, June 2006. [10] B.K. Thandri and J. Silva-Martinez, “A 63 dB 75 mW bandpass delta-sigma RF ADC at 950 MHz using 3.8 GHz clock in 0.25 μm SiGe BiCMOS technology”, IEEE Journal of Solid-State Circuits, vol. 42, no 2, pp.269-279, Feb 2007.