ABSTRACT We introduce a fast automatic sizing algorithm for a single-ended narrow-band CMOS cascode LNA adopting an inductive source degeneration based on an analytical approach without any optimization procedure. Analytical expressions for principle parameters are derived based on an ac equivalent circuit. Based on the analytical expressions and the power-constrained noise optimization criteria, the automatic sizing algorithm is developed. The algorithm is coded using Matlab, which is shown capable of providing a set of design variable values within seconds. One-time Spectre simulations assuming usage of a commercial 90 nm CMOS process are performed to confirm that the algorithm can provide the aimed first-cut design with a reasonable accuracy for the frequency ranging up to 5 GHz. This work shows one way how accurate automatic synthesis can be done in an analytical approach.
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J. Choi, "An Analytical Approach for Fast Automatic Sizing of Narrow-Band RF CMOS LNAs," Circuits and Systems, Vol. 3 No. 2, 2012, pp. 136-145. doi: 10.4236/cs.2012.32018.
 K. Muhammad, R. B. Staszewski and D. Leipold, “Digital RF Processing: Toward Low-Cost Reconfigurable Radios,” IEEE Communications Magazine, Vol. 43, No. 8, 2005, pp. 105-113. doi:10.1109/MCOM.2005.1497564
 A. A. Abidi, “The Path to the Software-Defined Radio Receiver,” IEEE Journal of Solid-State Circuits, Vol. 42, No. 5, 2007, pp. 954-966. doi:10.1109/JSSC.2007.894307
 G. Zhang, A. Dengi and L. R. Carley, “Automatic Synthesis of a 2.1 GHz SiGe Low Noise Amplifier,” Proceedings of IEEE Radio Frequency Integrated Circuits Symposium, Seattle, 2-4 June 2002, pp. 125-128.
 M. Chu and D. J. Allstot, “An Elitist Distributed Particle Swarm Algorithm for RFIC Optimization,” Proceedings of Asia and South Pacific Design Automation Conference, Shanghai, 18-21 January 2005, pp. 671-674.
 P. Vancorenland, C. De Ranter, M. Steyaert and G. Gielen, “Optimal RF Design Using Smart Evolutionary Algorithms,” Proceedings of Design Automation Conference, Los Angeles, 4-8 June 2000, pp. 7-10.
 G. Tulunay and S. Balk?r, “A Compact Optimization Methodology for Single-Ended LNA,” Proceedings of IEEE International Symposium Circuits and Systems, Geneva, 23-26 May 2004, pp. V-273-V-276.
 T.-K. Nguyen, C.-H. Kim, G.-J. Ihm, M.-S. Yang and S.-G. Lee, “CMOS Low-Noise Amplifier Design Optimization Techniques,” IEEE Transactions on Microwave Theory and Technique, Vol. 52, No. 5, 2004, pp. 14331442. doi:10.1109/TMTT.2004.827014
 G. Tulunay and S. Balkir, “Automatic Synthesis of CMOS RF Front-Ends,” Proceedings of IEEE International Symposium Circuits and Systems, Island of Kos, 21-24 May 2006, pp. 625628.
 A. Nieuwoudt, T. Ragheb and Y. Massoud, “SOC-NLNA: Synthesis and Optimization for Fully Integrated Narrow-Band CMOS Low Noise Amplifiers,” Proceedings of Design Automation Conference, San Francisco, 24-28 July 2006, pp. 879-884.
 W. Cheng, A. J. Annema and B. Nauta, “A Multi-Step PCell for LNA Design Automation,” Proceedings of IEEE International Symposium Circuits and Systems, 18-21 Seattle, May 2008, pp. 2550-2553.
 T. H. Lee, “The Design of CMOS Radio-Frequency Integrated Circuits,” 2nd edition, Cambridge University Press, Cambridge, 2004.
 BSIM4.5.0 MOSFET Model, User’s Manual, University of California, Berkeley, 2004.