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Low-Power Digital Filtering Based on the Logarithmic Number System

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4644))

Abstract

This paper investigates the use of the Logarithmic Number System (LNS) as a low-power design technique for signal processing applications. In particular we focus on power reductions in implementations of FIR and IIR filters. It is shown that LNS requires a reduced word length compared to linear representations for cases of practical interest. Synthesis of circuits that perform basic arithmetic operations using a 0.18μm 1.8V CMOS standard-cell library, reveal that power dissipation savings more than 60% in some cases are possible.

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References

  1. Stouraitis, T., Paliouras, V.: Considering the alternatives in low-power design. IEEE Circuits and Devices 17, 23–29 (2001)

    Article  Google Scholar 

  2. Landman, P.E., Rabaey, J.M.: Architectural power analysis: The dual bit type method. IEEE Transactions on VLSI Systems 3, 173–187 (1995)

    Article  Google Scholar 

  3. Arnold, M.G., Bailey, T.A., Cowles, J.R., Winkel, M.D.: Applying features of the IEEE 754 to sign/logarithm arithmetic. IEEE Transactions on Computers 41, 1040–1050 (1992)

    Article  Google Scholar 

  4. Morley, J. R.E., Engel, G.L., Sullivan, T.J., Natarajan, S.M.: VLSI based design of a battery-operated digital hearing aid. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, 1988, pp. 2512–2515. IEEE Computer Society Press, Los Alamitos (1988)

    Google Scholar 

  5. Sacha, J.R., Irwin, M.J.: Number representation for reducing switched capacitance in subband coding. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 1998, pp. 3125–3128 (1998)

    Google Scholar 

  6. Arnold, M.G.: Reduced power consumption for mpeg decoding with lns. In: Proceedings of the IEEE International Conference on Application-Specific Systems, Architectures and Processors (ASAP 2002), IEEE Computer Society Press, Los Alamitos (2002)

    Google Scholar 

  7. Kang, B., Vijaykrishnan, N., Irwin, M.J., Theocharides, T.: Power-efficient implementation of turbo decoder in sdr system. In: Proceedings of the IEEE International SOC Conference, pp. 119–122 (2004)

    Google Scholar 

  8. Paliouras, V., Stouraitis, T.: Low-power properties of the Logarithmic Number System. In: Proceedings of 15th Symposium on Computer Arithmetic (ARITH15), Vail, CO, June 2001, pp. 229–236 (2001)

    Google Scholar 

  9. Paliouras, V., Stouraitis, T.: Logarithmic number system for low-power arithmetic. In: Soudris, D.J., Pirsch, P., Barke, E. (eds.) PATMOS 2000. LNCS, vol. 1918, pp. 285–294. Springer, Heidelberg (2000)

    Google Scholar 

  10. Taylor, F., Gill, R., Joseph, J., Radke, J.: A 20 bit Logarithmic Number System processor. IEEE Transactions on Computers 37, 190–199 (1988)

    Article  Google Scholar 

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Nadine Azémard Lars Svensson

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© 2007 Springer-Verlag Berlin Heidelberg

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Basetas, C., Kouretas, I., Paliouras, V. (2007). Low-Power Digital Filtering Based on the Logarithmic Number System. In: Azémard, N., Svensson, L. (eds) Integrated Circuit and System Design. Power and Timing Modeling, Optimization and Simulation. PATMOS 2007. Lecture Notes in Computer Science, vol 4644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74442-9_53

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  • DOI: https://doi.org/10.1007/978-3-540-74442-9_53

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74441-2

  • Online ISBN: 978-3-540-74442-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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