Abstract
In this paper we present an efficient method of determining the optimized layout of on chip spiral inductor. The method initially identifies the feasible region of optimization by developing layout design parameter bound curves for a large range of physical inductance values that satisfies the same area specification. For any desired inductance value the upper and lower bounds of the optimization variables are determined graphically. An enumeration algorithm implemented finds the global optimum layout that gives the highest quality factor in less than 1 s of CPU time with less function evaluations. The optimization method also gives the performance of all possible combinations that results the same inductance value. Subsequently important fundamental tradeoff of the design like quality factor and area, quality factor and inductance, quality factor and operating frequency, maximum quality factor and the peak frequency is explored in few seconds. The method also gives other valuable information such as sensitivity of the inductance and quality factor to the layout design parameters. The accuracy of the proposed method is verified using a 3D electromagnetic simulator.
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Bennett, H. S., Brederlow, R., Costa, J. C., Cottrell, P. E., Huang, W. M., Immorlica, A. A., Mueller, J. E., Racanelli, M., Shichijo, H., Weitzel, C. E., & Zhao B. (2005). Device and technology evolution for silicon-based RF integrated circuits. IEEE Transactions on Electron Devices, 52, 1235–1258.
Abidi, A. A. (2004). RF CMOS comes of age. IEEE Journal of Solid-State Circuits, 39, 549–561.
Burghartz, J. N. (2001). Status and trends of silicon RF technology. Microelectronics Reliability, 41, 13–19.
Long, J. R., & Copeland, M. A. (1997). The modeling, characterization, and design of monolithic inductors for silicon RF IC’s. IEEE Journal of Solid-State Circuits, 32, 357–369.
Koutsoyannopoulos, Y. K., & Papananos, Y. (2000). Systematic analysis and modeling of integrated inductors and transformers in RF IC design. IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing, 47, 699–713.
Andersen, R. B., Jorgensen, T., Laursen, S., & Kolding, T. E. (2002). EM-simulation of planar inductor performance for epitaxial silicon processes. Analog Integrated Circuits and Signal Processing, 30, 51–58.
Haobijam, G., & Paily, R. (2006). Systematic analysis, design and optimization of on chip spiral inductor for silicon based RFIC’s. In IEEE INDICON 2006 Conference, India.
Niknejad, A. M., & Meyer, R. G. (1998). Analysis, design, and optimization of spiral inductors and transformers for Si RF IC’s. IEEE Journal of Solid-State Circuits, 33, 1470–1481.
Post, J. E. (2000). Optimizing the design of spiral inductors on silicon. IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing, 47, 15–17.
Hershenson, M. M., Mohan, S. S., Boyd, S. P., & Lee, T. H. (1999). Optimization of inductor circuits via geometric programming. In Proc. of the IEEE ACM Design Automation Conference, pp. 994–998.
Kim, J., Lee, J., Vandenberghe, L., & Yang, C.-K. (2004). Techniques for improving the accuracy of geometric-programming based analog circuit design optimization. In Proc. of the Int. Conf. Comput. Aided Des., pp. 863–870.
Zhan, Y., & Sapatnekar, S. S. (2004). Optimization of integrated spiral inductors using sequential quadratic programming. In Proc. of the IEEE Design, Automation and Test in Europe Conf. and Exhibition.
Nieuwoudt, A., & Massoud, Y. (2006). Variability-aware multilevel integrated spiral inductor synthesis. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 25, 2613–2625.
Bhaduri, A., Vijay, V., Agarwal, A., Vemuri, R., Mukherjee, B., Wang, P., & Pacelli, A. (2004). Parasitic-aware synthesis of RF LNA circuits considering quasi-static extraction of inductors and Interconnects. In Proc. of the 47th Midwest Symp. Circuits and Syst., pp. 477–480.
Mukherjee, S., Mutnury, B., Dalmia, S., & Swaminathan, M. (2005). Layoutlevel synthesis of RF inductors and filters in LCP substrates for Wi-Fi applications. IEEE Transactions on Microwave Theory and Techniques, 53, 2196–2210.
Greenhouse, H. M. (1974). Design of planar rectangular microelectronic inductors. IEEE Transactions on Parts, Hybrids and Packaging, Php-10, 101–108.
Sia, C. B., Hong, B. H., Chan, K. W., Yeo, K. S., Ma, J. G., & Do, M. A. (2005). Physical layout design optimization of integrated spiral inductors for silicon-based RFIC. IEEE Transaction Electron Devices, 52, 2559–2567.
Yue, C. P., & Wong, S. S. (2000). Physical modeling of spiral inductors on silicon. IEEE Transaction Electron Devices, 47, 560–568.
Farina, M., Rozzi, T. (2001) A 3-D integral equation-based approach to the analysis of real-life MMICs-application to microelectromechanical systems. IEEE Transaction Microwave Theory Techinques, 49, 2235–2240.
Mohan, S., Hershenson, M., Boyd, S., & Lee, T. (1999). Simple accurate expressions for planar spiral inductances. IEEE Journal of Solid-State Circuits, 34, 1419–1424.
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This work was carried out using Intellisuite of IntelliSense Software Corp. procured under the NPSM project at Indian Institute of Technology Guwahati.
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Haobijam, G., Paily, R. Efficient optimization of integrated spiral inductor with bounding of layout design parameters. Analog Integr Circ Sig Process 51, 131–140 (2007). https://doi.org/10.1007/s10470-007-9061-9
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DOI: https://doi.org/10.1007/s10470-007-9061-9