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Mapping Decidable Signal Processing Graphs into FPGA Implementations

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Abstract

Field programmable gate arrays (FPGAs) are examples of complex programmable system-on-chip (PSoC) platforms and comprise dedicated DSP hardware resources and distributed memory. They are ideal platforms for implementing computationally complex DSP systems for image processing and radar, sonar and signal processing. The chapter describes how decidable signal processing graphs are mapped onto such platforms and shows how parallelism and pipelining can be controlled to achieve the required speed using minimal hardware resource. The work shows how the techniques outlined there are used to build efficient FPGA implementations. The process is demonstrated for a number of DSP circuits including a finite impulse response (FIR) filter, lattice filter and a more complex adaptive signal processing design, namely a least means squares (LMS) filter.

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References

  1. Altera Corp.: Stratix III device handbook. Web publication downloadable from http://www.altera.com (2007)

  2. Bringmann, O., Rosenstiel, W.: Resource sharing in hierarchical synthesis. In: International Conference on Computer Aided Design, pp. 318–325 (1997)

    Google Scholar 

  3. Hu, Y.H., Kung, S.Y.: Systolic arrays. In: S.S. Bhattacharyya, E.F. Deprettere, R. Leupers, J. Takala (eds.) Handbook of Signal Processing Systems, second edn. Springer (2013)

    Google Scholar 

  4. Kung, S.Y.: VLSI Array Processors. Prentice Hall Int., Englewood Cliffs, NJ (1988)

    Google Scholar 

  5. Leiserson, C., Rose, F., Saxe, J.: Optimizing synchronous circuitry by retiming. In: Proceedings of the 3rd Caltech Conference on VLSI, pp. 87–116 (1983)

    Google Scholar 

  6. McCanny, J., Hu, Y., Ding, T., Trainor, D., Ridge, D.: Rapid design of DSP ASIC cores using hierarchical VHDL libraries. In: Thirtieth Asilomar Conference on Signals, Systems and Computers, pp. 1344–1348 (1996)

    Google Scholar 

  7. McKeown, S., Fischaber, S., Woods, R., McAllister, J., Malins, E.: Low power optimisation of DSP core networks on FPGA for high end signal processing systems. In: Proceedings on International Conference on Military and Aerospace Programmable Logic Devices (2006)

    Google Scholar 

  8. Meyer-Baese, U.: Digital Signal Processing with Field Programmable Gate Arrays. Springer, Germany (2001)

    Book  Google Scholar 

  9. Monteiro, J., Devadas, S., Ghosh, A.: Retiming sequential circuits for low power. In: Proceedings of IEEE Int’l Conf. on Computer Aided Design, pp. 398–402 (1993)

    Google Scholar 

  10. Omondi, A.R.: Computer Arithmetic Systems. Prentice Hall Int., New York (1994)

    MATH  Google Scholar 

  11. Parhi, K.K.: VLSI digital signal processing systems: design and implementation. John Wiley and Sons, Inc., New York (1999)

    Google Scholar 

  12. Parhi, K.K., Chen, Y.: Signal flow graphs and data flow graphs. In: S.S. Bhattacharyya, E.F. Deprettere, R. Leupers, J. Takala (eds.) Handbook of Signal Processing Systems, second edn. Springer (2013)

    Google Scholar 

  13. Semiconductor Industry Association: International technology roadmap for semiconductors: Design. Web publication downloadable from http://www.itrs.net/Links/2005ITRS/Design2005.pdf (2005)

  14. Ting, L., Woods, R., Cowan, C., Cork, P., Sprigings, C.: High-performance fine-grained pipelined LMS algorithm in Virtex FPGA. In: Advanced Signal Processing Algorithms, Architectures, and Implementations X: SPIE San Diego, pp. 288–299 (2000)

    Google Scholar 

  15. Turner, R.H., Woods, R.: Highly efficient, limited range multipliers for LUT-based FPGA architectures. IEEE Trans. on VLSI Systems 12, 1113–1118 (2004)

    Article  Google Scholar 

  16. White, S.A.: Applications of distributed arithmetic to digital signal processing. IEEE ASSP Magazine pp. 4–19 (1989)

    Google Scholar 

  17. Wilton, S.J.E., Luk, W., Ang, S.S.: The impact of pipelining on energy per operation in field-programmable gate arrays. In: Proceedings of Int’l conf. on Field Programmable Logic and Application, pp. 719–728 (2004)

    Google Scholar 

  18. Woods, R., McAllister, J., Lightbody, G., Yi, Y.: FPGA-based Implementation of Signal Processing Systems. Wiley, UK (2008)

    Book  Google Scholar 

  19. Xilinx Inc.: Using look-up tables as shift registers (SRL-16) in Spartan-3 generation FPGAs. Web publication downloadable from http://www.xilinx.com (2005)

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Acknowledgements

The author would like to acknowledge the effort and help of colleagues Dr Ying Yi and Dr Stephen McKeown in generating the results for the adaptive LMS and FIR filter examples respectively. Acknowledgement is also given to the numerous researchers who worked on this topic over the years, Dr Tim Courtney, Dr Richard Turner, Dr John McAllister and Dr Lok Kee Ting.

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Correspondence to Roger Woods .

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Woods, R. (2013). Mapping Decidable Signal Processing Graphs into FPGA Implementations. In: Bhattacharyya, S., Deprettere, E., Leupers, R., Takala, J. (eds) Handbook of Signal Processing Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6859-2_42

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  • DOI: https://doi.org/10.1007/978-1-4614-6859-2_42

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