In this paper a new and efficient method is presented for optimizing the mapping ofnonuniform recurrence equations on regular array architectures. The method is based on applyingnonlinear transformations on theindices of the recurrence equations by reindexing groups of operations based on a chosen group communication scheme. The main result of this paper is that the presented method provides a means to map real life high throughput algorithms onto ASIC regular array architectures under real constraints.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
F. Catthoor and H. De Man, “Application-specific architectural methodologies for high throughput digital signal and image processing,”IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 37, no. 2, 1990, pp. 176–192.
R.M. Karp, R.E. Miller, and S. Winograd, “The organization of computations for uniform recurrence equations,”Journal of the ACM, vol. 14, 1967, pp. 563–590.
P. Quinton and V. van Dongen, “The mapping of linear recurrence equations on regular arrays,”Journal of VLSI Signal Processing, vol. 1, 1989, pp. 95–113.
A. Benaini, P. Quinton, Y. Robert, Y. Saouter, and B. Tourancheau, “Synthesis of a new systolic architecture for the algebraic path problem,”Science of Computer Programming, vol. 18, 1990, pp. 135–158.
P.S. Lewis and S.Y. Kung, “Dependence graph based design of systolic arrays for the Algebraic Path Problem,”Proc. 12th Asilomar Conference on Signals, Systems and Comput., 1987, pp. 13–18.
M.F.X.B. van Swaaij, F.V.M. Catthoor, and H.J. De Man, “Architectural alternatives for the Hough transform,”IFIP Workshop on Parallel Architectures on Silicon, 1989, pp. 241–254.
D.I. Moldovan, “Advis: a software package for the design of systolic arrays,”IEEE International Conference on Computer Design, 1984, pp. 158–164.
P. Bertolazzi, C. Guerra, and S. Salza, “A systematic approach to the design of modular systolic arrays,”IEEE International Conference on Systolic Arrays, 1988, pp. 453–463.
C. Guerra and R. Melhem, “Synthesizing nonuniform systolic designs,”IEEE International Conference on Parallel Processing, 1986, pp. 765–771.
G. Mei, W. Liu, R. Cavin, and F. Lin, “Synthesizing irregular iterative algorithms with array architectures,”VLSI Signal Processing III, (R.W. Brodersen et al., eds.) IEEE Press, 1988, pp. 447–458.
J. Rosseel, F. Catthoor, and H. De Man, “Extensions to linear mapping on regular arrays with complex processing elements,”IEEE International Conference on Application Specific Array Processors, 1990, pp. 156–167.
Y. Wong and J.-M. Delosme, “Optimal systolic implementations of N-dimensional recurrences,”IEEE International Conference on Computer Design, 1985, pp. 618–621.
J. Annevelink and P. Dewilde, “Hifi: A functional design system for VLSI processing arrays,”IEEE International Conference on Systolic Arrays, 1988, pp. 413–452.
M.F.X.B. van Swaaij, F.V.M. Catthoor, and H.J. De Man, “Synthesis of ASIC regular arrays for real-time image processing systems,”Algorithms and Parallel VLSI Architectures, (E. Deprettere, ed.), New York: Elsevier Science, vol. 13, pp. 329–342, 1991.
About this article
Cite this article
van Swaaij, M.F.X.B., Catthoor, F.V.M. & De Man, H.J. Nonlinear transformations for high level regular array ASIC synthesis. J VLSI Sign Process Syst Sign Image Video Technol 4, 259–268 (1992). https://doi.org/10.1007/BF00930639
- Recurrence Equation
- Nonlinear Transformation
- Systolic Array
- Regular Array
- Algorithmic Space