522 IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 39, NO. 3, MARCH 2004 26–42 GHz SOI CMOS Low Noise Amplifier Frank Ellinger, Member, IEEE Abstract—A complementary metal–oxide semiconductor (CMOS) single-stage cascode low-noise amplifier (LNA) is presented in this paper. The microwave monolithic integrated circuit (MMIC) is fabricated using digital 90-nm silicon-on-insulator (SOI) technology. All impedance matching and bias elements are implemented on the compact chip, which has a size of 0.6 mm 0.3 mm. The supply voltage and supply current are 2.4 V and 17 mA, respectively. At 35 GHz and 50 source/load impedances, a gain of 11.9 dB, a noise figure of 3.6 dB, an output compression point of 4 dBm, an input return loss of 6 dB, and an output return loss of 18 dB are measured. The 3-dB frequency bandwidth ranges from 26 to 42 GHz. All results include the pad parasitics. To the knowledge of the author, the results are by far the best for a silicon-based millimeter-wave LNA reported to date. The LNA is well suited for systems operating in accordance to the local multipoint distribution service (LMDS) standards at 28 and 38 GHz and the multipoint video distribution system (MVDS) standard at 42 GHz. Index Terms—CMOS, low-noise amplifier (LNA), millimeterwave frequency, MMIC, silicon-on-insulator (SOI). I. INTRODUCTION U NTIL today, the fastest transistors are fabricated using III/V-based technologies. State-of-the-art transit frequencies up to 562 GHz have been reported for indium phospide (InP) pseudomorphic high electron mobility transistors (pHEMTs) [1]. In the past, III/V-based technologies were the only choice for millimeter-wave applications. Unfortunately, due to the limited transistor yield, III/V-based circuits have high costs and allow only low circuit complexities. In recent years, the speed gap between III/V- and silicon-based technologies has been significantly decreased. Silicon germanium (SiGe) heterojunction bipolar transistors (HBTs) with of 350 GHz [2] and silicon-on-insulator (SOI) up to 243 GHz [3] have been CMOS technologies with reported. For digital applications, CMOS technologies have important advantages regarding the power consumption. This is a major reason why CMOS plays a dominant role within the digital market. To allow single-chip solutions, analog designers also have to use CMOS technologies. Most CMOS technologies are optimized for digital applications, making the design of analog circuits a demanding task. The enhancement strategy of digital CMOS technologies focuses on the optimization of transistors rather than of passive devices. However, passive devices such as inductors, transmission lines, and pads are important for analog designs. Device and metal dimensions are Manuscript received August 12, 2003; revised November 10, 2003. The author is with the Swiss Federal Institute of Technology (ETH) Zurich, Electronics Laboratory, Switzerland, and IBM/ETH Center for Advanced Silicon Electronics, Zurich, Switzerland (e-mail: ellinger@ife.ee.ethz.ch). Digital Object Identifier 10.1109/JSSC.2003.822895 scaled down to increase the transistor speed and the integration density. Unfortunately, this degrades the performance of passive devices [4]. Major reasons are the following. • The coupling to the lossy substrate is increased due to the lowering of the distance between conductor metal and substrate. • The parasitic resistance of lines is increased due to the thinning and cheesing of the metals. • Metal filling, typically up to 40%, is required for yield reasons. This increases the capacitive coupling to the lossy substrate since the metal pieces act as highly conductive bridges. Filling exclusion is strongly limited or not allowed at all. • Furthermore, most digital processes feature no metal–insulator–metal (MIM) capacitors with high dielectric constant and small distance between the metal plates. Thus, the MIM capacitors require a large area. Consequently, they have a strong coupling to the lossy substrate resulting in high losses. Despite these restrictions, this paper shows that excellent millimeter-wave amplifiers with low noise and high gain can be realized by using SOI CMOS technology. Compared to conventional bulk technology, the implementation of a thin isolation layer between the active transistor area and the substrate allows a higher substrate resistivity without degrading the threshold properties of the field effect transistors (FETs). Consequently, the parasitics of the transistors are reduced, thereby increasing . Furthermore, passive components with higher their and factors and operation frequencies can be realized. As summarized in Table I, the highest operation frequencies for SiGe bipolar [5] and CMOS amplifiers [6], [7] reported to date are around 24 GHz. With 11.9-dB gain and 3.6-dB noise figure around 35 GHz, this work improves the current state-of-the-art performances of silicon-based millimeter-wave amplifiers. The major task of this work was the exploration of the frequency limits of the SOI CMOS technology that was used. Due to its large 3-dB bandwidth from 26 to 42 GHz, the low-noise amplifier (LNA) is suited for various applications at the Ka-band, e.g., for systems operating in accordance to the LMDS standard at 28 and 38 GHz and the MVDS standard at 42 GHz. II. DEVICES The LNA was fabricated using a digital IBM SOI CMOS technology, which features FETs with gate length of 90 nm and a metal stack with eight metals. The substrate resistivity of cm. For further information conthe technology is cerning the technology, refer to [3]. 0018-9200/04$20.00 © 2004 IEEE IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 39, NO. 3, MARCH 2004 523 TABLE I COMPARISON WITH STATE-OF-THE-ART MICROWAVE AND MILLIMETER-WAVE LNAs A. Field Effect Transistors For analog amplifiers, the maximum frequency of oscillation is more important than the maximum , since is a benchmark for the maximum available power gain. Consequently, the n-channel FET that was used was optimized for rather than for . Experimental FET test structures with different gate widths and number of gate fingers were designed, measured, and compared to optimize the geometry of a FET with total gate width of 64 m. This gate width was chosen since it allows simple impedance matching. Corresponding details will be discussed in Section III. The investigation showed that for this gate width, a structure with 64 fingers is well suited . to reach a high An HP 8510 XF network analyzer was used for device characterization up to 100 GHz. In Fig. 1, the measured magnitude of , the maximum stable gain (MSG), and the the current gain maximum available gain (MAG) of the FET are plotted versus frequency. The FET was biased at the maximum drain–source of 1 V. For yield constraints of the technology, no voltage higher should be applied. The threshold voltage of the tranof sistor is approximately 0.25 V. A gate–source voltage of 0.5 V was fed corresponding to a current density 0.25 mA m. Fig. 2 demonstrates that this current density is a good compromise between high power gain and moderate supply current. Thus, this bias point is well suited for the LNA. of 147 GHz and a of 149 GHz were extracted from A the measurements. At 40 GHz, the MSG of the FET is 10 dB. of 160 GHz can be reached at a current density A peak of 0.4 mA m. It is noted that the latest hardware of the techof up to 208 GHz [3]. nology demonstrates devices with The measured input and output reflection coefficients of the FET are plotted in Fig. 3. At 26.5 GHz, a minimum noise figure of approximately 2 dB was measured for a similar FET of around 2.6 dB can be exgeometry [3]. At 35 GHz, an curve. trapolated by considering the gradient of the B. Inductive Transmission Lines Inductive elements with high quality factor are mandatory to reach high gain and low noise figure. At millimeter-wave Fig. 1. Measured f and f versus frequency at V = 0:5 V, V = 1 V and I = 16 mA corresponding to a current density of 0.25 mA=m. Fig. 2. Measured f at V = 1 V versus current density. frequencies, inductive lines are well suited for the realization of inductances. Compared to coplanar transmission lines, microstrip lines are preferred since they have a higher effective inductance per length. Thus, the lines can be kept compact. This is important to minimize the area determining the coupling to the lossy substrate. With line length , line width , distance from the bottom plate of the line to the ground , and the magnetic 524 IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 39, NO. 3, MARCH 2004 Fig. 5. Shunted inductive transmission line. (a) Equivalent circuit. (b) Introduction of R and C to ease calculation of Q. TABLE II ELEMENT VALUES OF SCALABLE INDUCTIVE TRANSMISSION LINE Fig. 3. Measured input and output reflection coefficients of FET from 1 to 100 GHz at V = 1 V, V = 0:5 V, I = 16 mA. Fig. 4. Simplified cross view of transmission line, C = 0 :5 C . Fig. 6. L constant , the inductance proximated by [14] Measured and simulated S-parameters from 1 to 60 GHz of line with =S ,S =S . = 0:195 nH. S of a microstrip line can be ap- (1) A cross view of an inductive microstrip line as used in this work is shown in Fig. 4. The top conductor metal is made of copper and has a thickness of approximately 1 m and a distance from the bottom plate to the lossy substrate of around 7 m. In theory, it is assumed that microstrip lines have a ground only at the bottom of the substrate. The distance from the line to the other grounded metal plates is assumed to be infinity. However, due to layout constraints of MMIC circuits, the distance of the line to the common ground metal of the circuit cannot be set to infinity. In this work, is approximately 15 m. Thus, in has to be practice, the corresponding coplanar capacitance considered. were investigated and The free design parameters and optimized using the Ansoft 3-D high-frequency structure simulator (HFFS) [15]. For the required inductance values and the related , the optimum is approximately 5 m. At this , optimum factors were reached for inductor values typically required for amplifiers operating around 40 GHz. Thus, this was chosen for the lines. Inductive lines can be applied as series or shunt elements. The use of shunted lines is advantageous since toward the shunted port, a significant amount of the substrate parasitics is shunted. Thus, the corresponding losses are smaller and the related factor is higher. In Fig. 5(a), the equivalent circuit of a shunted is shown. The modeling of the line with desired inductance transmission line by means of a lumped equivalent network allows simple derivation and optimization of the quality factor . The relevant parasitics are the metal resistance , the oxide , the substrate resistance , and . Due to capacitance the thin metal thickness of the line, the skin effect and the correis relatively weak. Thus, sponding frequency dependence of for simplicity, is assumed to be independent of the frequency. The element values of the equivalent circuit of the line are , the model is scaleable with listed in Table II. For . The top metal was used to maximize the distance to the lossy substrate and to minimize the corresponding substrate losses. In Fig. 6, a comparison between measured and modeled -parameters of a line with m is shown from 1 to 60 GHz. Good agreement is reached. At 40 GHz, this line has an inductance of 0.195 nH. The corresponding characteristic wave impedance of the line is approximately 120 . Similarly of the lines can be to the considerations made in [16], the calculated by (2) This definition is valid only for frequencies below the self-resonance frequency, where the magnetic energy dominates. To ease the calculations, we introduce the elements (3) IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 39, NO. 3, MARCH 2004 525 Fig. 9. Measured and simulated insertion loss of signal pad. Fig. 7. Q factor, low-frequency Q factor Q , substrate loss factor SLF, and self-resonance loss factor RLF of line with L = 0:195 nH. Fig. 8. Equivalent circuit of signal pad. and (4) This is illustrated in Fig. 5(b). With (2)–(4), we get Fig. 10. Simplified equivalent circuit of the LNA. D. RF Shunt Capacitors (5) SLF RLF (6) , the substrate loss factor with the low-frequency factor SLF, and the self-resonance loss factor RLF. The factor, the , the SLF, and the RLF versus frequency of the 0.195-nH line are depicted in Fig. 7. A high peak quality factor of 20.5 is reached at 50 GHz, making the inductive line well suited for low-noise applications. The corresponding SLF and RLF are 0.87 and 0.8, respectively. At the resonance frequency of 110 GHz, the RLF and the factor equal zero. C. Signal Pads The three top metals are used for the realization of the signal m m. The signal pad is pads, which have a size of conmodeled using the equivalent circuit shown in Fig. 8. siders the resistive losses of the oxide. The measured and simulated insertion loss are plotted in Fig. 9. Good agreement up to 100 GHz is achieved. At 35 GHz and 50- reference impedance, an insertion loss of only 0.2 dB was measured. The process features MOSFET capacitors with a high capacitance per area of approximately 11.5 fF m , making them well suited for radio frequency (RF) shunts. Unfortunately, they have a high parasitic substrate capacitance, resulting in a high insertion loss. Thus, they are not suited as series dc-blocking or impedance-matching capacitors. E. MIM Capacitor Capacitors with high factors are required for impedance matching and dc blocking. MIM-type capacitors offer high factors, typically above 50 at millimeter-wave frequencies. Unfortunately, the technology used here features no MIM capacitors. However, the metal plates of the metal stack can be used for the realization of a MIM capacitor. Due to the low dielectric material constant within the metal stack and the relative large metal distance, the capacitance per area is relatively low. An efficient technique to increase the capacitance density is the use of vertical parallel plate capacitors [17]. In this work, the bottom metal of the signal pad is reused as capacitor plate to minimize the parasitic substrate capacitances. Together with the following metal, it is used for dc blocking. 526 IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 39, NO. 3, MARCH 2004 Fig. 11. Photograph of the MMIC with overall chip size of 0.6 mm TL: RF shorted inductive transmission lines. 2 0.3 mm. The design rules of the digital CMOS technology require metal filling and cheesing. With a metal-to-metal distance of 0.4 m and a of 2.7, we obtain a capacitance per area of approximately 0.1 fF m . III. DESIGN OF LOW-NOISE AMPLIFIER A BSIM SOI MOSFET large-signal model is used for the simulation of the circuit. Originally, this model was optimized for digital rather than for analog applications. Compared to a common-source stage, cascode circuits have higher RF power gain. This is attributed to the reduced Miller effect and the increased output resistance. Consequently, a cascode circuit is used for the LNA. For detailed information concerning LNA theory and design concepts of cascode amplifiers, refer to [18] and [19]. Inductive source degeneration is frequently used to make the input impedance of the transistor more resistive, thereby simplifying the input matching. A further advantage of this technique is that the matching for maximum gain and minimum noise figure move closer together [20]. Unfortunately, inductive source degeneration decreases the equivalent transconductance, which can be approximated by limited by the area of the signal pad. A capacitor covering the whole signal pad has a value of 270 fF. 4) A transistor size is chosen that meets requirements 1–3 as much as possible. Simulations show that transistors with a total gate width of 64 m are well suited to meet the discussed requirements. For information concerning the bias and the impedance characteristics of this FET, refer to Section II-A. The simplified circuit schematic of the LNA and the final element values are illustrated in Fig. 10. The drain–source voltage of each transistor is approximately 1 V. For stability reasons, resistors are implemented in the bias connections. They prevent resonances between the RF shunt capacitance and the inductance of the dc probes. The gate of the common-gate circuit is terminated by a RF shunt capacitor and biased by a high ohmic resistor. A photograph of the compact MMIC with overall chip size of 0.6 mm 0.3 mm is shown in Fig. 11. Due to the design rules of the digital CMOS technology, the lines are cheesed. According to metal density rules, the overall chip area is filled with metal pieces. The filling densities are in the range of 15%–40%. IV. RESULTS OF LOW-NOISE AMPLIFIER with the transconductance without inductive source degenera, the source inductance and the gate source capacition . Since it is challenging to reach sufficient gain at such tance high frequencies as targeted in this work, no inductive source degeneration is used. To reach adequate matching to 50 and maximum performance at the target frequency, the following design considerations are made. 1) The matching network is minimized by reusing the mandatory LC bias elements, which are the series dc-block capacitors and the shunted bias inductors. The application of additional elements should be avoided. factor at the 2) Inductor values having their maximum target frequency are used. Between 30–40 GHz, inductors with values between 0.3 and 0.4 nH have maximum . Consequently these values are preferred. 3) To minimize the losses, the bottom plate of the pad is used as a part of the dc-block capacitor as described in Section II-E. The maximum value of the capacitance is The circuit was measured on wafer. All measurements were performed at source and load impedances of 50 and include the losses of the pads. -parameters were measured using the HP 8510 XF network analyzer. The noise figure setup consists of an HP 8970 B noise figure meter, an HP 8971C test set extension, and an external mixer, allowing measurements between 26 and 40 GHz. An HP 436 A power meter was used for determination of the compression point. The applied supply voltage and supply current of the LNA are 2.4 V and 17 mA, respectively. At this bias point, the circuit is unconditionally stable. In Fig. 12, the measured and simulated gain and noise figure versus frequency are shown. The corresponding return losses are depicted in Fig. 13. At a frequency of 35 GHz, a gain of 11.9 dB, a low noise figure of 3.6 dB, an input return loss of 6 dB, and an output return loss of 18 dB were measured. The achieved noise of the FET. figure is only 1 dB higher than the extrapolated The measured gain of the cascode is 1.9 dB higher than the MSG of the single FET. An input return loss of around 10 dB would be possible by applying inductive source degeneration. However, IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 39, NO. 3, MARCH 2004 Fig. 12. Measured and simulated gain and noise figure, V 17 mA. = 2:4 V, I 527 = Shunted inductive transmission lines have been used for gain and noise matching. A high factor of 20.5 at 40 GHz and a high self-resonance frequency of 110 GHz has been reached for a typical inductance with 0.195 nH. A simple circuit topology has been applied to minimize the number of required passive elements. Some elements have been reused for different tasks. This design strategy is efficient to minimize the high substrate losses of CMOS technologies at high frequencies. With 11.9-dB gain and 3.6-dB noise figure at a frequency of 35 GHz, this work significantly improves the current state-of-the-art performances of CMOS millimeter-wave amplifiers. The achieved results are even better than the best reported using SiGe HBT technologies. The work clearly shows the excellent suitability of digital SOI CMOS technologies for analog circuits at millimeter-wave frequencies. Not long ago, this frequency range has been an exclusive domain of III/V technologies. ACKNOWLEDGMENT Fig. 13. Measured and simulated return losses, V = 2:4 V, I = 17 mA. simulations predict a degradation of the gain of approximately 1.2 dB. Between the 3-dB frequency bandwidth ranging from 26 and 42 GHz, an output compression point above 4 dBm was measured. Up to 50 GHz, the measured reverse isolation is higher than 25 dB. This high reverse isolation is attributed to the high substrate resistivity of the SOI technology. Good agreement between measured and simulated -parameters was obtained. However, the accuracy of the BSIM SOI FET model that was used is limited in terms of noise because it was optimized for digital rather than for analog applications. The predicted noise figure is approximately 1–1.5 dB lower than measured. It is noted that the technology used and the models are still in the development phase. V. CONCLUSION A millimeter-wave CMOS LNA operating within a 3-dB frequency bandwidth from 26 to 42 GHz has been presented. The LNA is suited for various applications at the Ka-band, e.g., for systems operating in accordance to the LMDS and MVDS standards. All matching and biasing elements have been integrated on the MMIC. A 90-nm SOI technology has been used for fabrication. Although this process has been optimized for digital rather than for analog applications, excellent results have been reached. The author would like to thank Dr. M. Schmatz, Zurich Research Laboratory (ZRL), IBM Research, Zurich, Switzerland, for the organization of the chip area, his efforts during the wafer run and the management of the IBM/ETH Center for Advanced Silicon Electronics (CASE). For their support concerning CASE, the author would like to acknowledge Prof. Dr. H. Jäckel, Electronics Laboratory (IfE), ETH Zurich, Zurich, Switzerland, and Prof. Dr. W. Bächtold, Laboratory for Microwave Electronics and Electromagnetic Waves (IFH), ETH Zurich, Switzerland. The author would like to thank L. C. Rodoni, G. Sialm, and C. Kromer, all with CASE, for the teamwork during the wafer run. The author would also like to acknowledge Dr. C. Menolfi, Dr. M. Kossel, Dr. T. Toifl, and Dr. T. Morf, all with ZRL, for sharing their excellent expertise concerning the design environment, and H. Benedikter, IFH, for his help concerning millimeter-wave measurements and for providing measurement equipment. 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Microwave Theory Tech., vol. 33, pp. 1560–1566, Dec. 1982. Frank Ellinger (S’97–M’01) was born in Friedrichshafen, Germany, in 1972. He received the Masters degree in electrical engineering from the University of Ulm, Ulm, Germany, in 1996, and the M.B.A. and Ph.D. degrees in electrical engineering from the Swiss Federal Institute of Technology (ETH), Zürich, Switzerland, in 2001. In 2001, he was with the Wireless Marketing Division of Infineon, Munich, Germany. Since 2001, he has been head of the RFIC design group of the Electronics Laboratory at the ETH and Project Leader of the IBM/ETH Competence Center for advanced silicon electronics. His main research interests are the modeling and design of silicon and GaAs-based RF circuits for high-speed wireless and optical communication. He is a Lecturer in this area at the ETH. He has authored over 30 reviewed IEEE papers and several patents. Dr. Ellinger was Program Chair of the Workshop on Compound Semiconductor Devices and Integrated Circuits Europe (WOCSDICE) in 2003. He was the recipient of the Young Ph.D. Award of the ETH (Bonus 29), the ETH Medal for outstanding Ph.D. theses, and the Denzler Award of the Swiss Electrotechnical Association (SEV).