### Abstract

In this paper, we extend the circuit partitioning algorithm which we had proposed for multi-FPGA systems and present a new algorithm in which the delay of each critical signal path is within a specified upper bound imposed on it. The core of the presented algorithm is recursive bipartitioning of a circuit. The bipartitioning procedure consists of three stages: (0) detection of critical paths; (1) bipartitioning of a set of primary inputs and outputs; and (2) bipartitioning of a set of logic-blocks. In (0), the algorithm computes the lower bounds of delays for paths with path delay constraints and detects the critical paths based on the difference between the lower and upper bounds dynamically in every bipartitioning procedure. The delays of the critical paths are reduced with higher priority. In (1), the algorithm attempts to assign the primary inputs and outputs on each critical path to one chip so that the critical path does not cross between chips. Finally in (2), the algorithm not only decreases the number of crossings between chips but also assigns the logic-blocks on each critical path to one chip by exploiting a network flow technique. The algorithm has been implemented and applied to MCNC PARTITIONING 93 benchmark circuits. The experimental results demonstrate that it resolves almost all path delay constraints while maintaining the maximum number of required I/O blocks per chip small compared with conventional algorithms.

Original language | English |
---|---|

Pages (from-to) | 373-393 |

Number of pages | 21 |

Journal | Journal of Circuits, Systems and Computers |

Volume | 7 |

Issue number | 5 |

Publication status | Published - 1997 Oct |

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### ASJC Scopus subject areas

- Hardware and Architecture
- Electrical and Electronic Engineering

### Cite this

*Journal of Circuits, Systems and Computers*,

*7*(5), 373-393.

**A performance-oriented circuit partitioning algorithm with logic-block replication for multi-FPGA systems.** / Togawa, Nozomu; Sato, Masao; Ohtsuki, Tatsuo.

Research output: Contribution to journal › Article

*Journal of Circuits, Systems and Computers*, vol. 7, no. 5, pp. 373-393.

}

TY - JOUR

T1 - A performance-oriented circuit partitioning algorithm with logic-block replication for multi-FPGA systems

AU - Togawa, Nozomu

AU - Sato, Masao

AU - Ohtsuki, Tatsuo

PY - 1997/10

Y1 - 1997/10

N2 - In this paper, we extend the circuit partitioning algorithm which we had proposed for multi-FPGA systems and present a new algorithm in which the delay of each critical signal path is within a specified upper bound imposed on it. The core of the presented algorithm is recursive bipartitioning of a circuit. The bipartitioning procedure consists of three stages: (0) detection of critical paths; (1) bipartitioning of a set of primary inputs and outputs; and (2) bipartitioning of a set of logic-blocks. In (0), the algorithm computes the lower bounds of delays for paths with path delay constraints and detects the critical paths based on the difference between the lower and upper bounds dynamically in every bipartitioning procedure. The delays of the critical paths are reduced with higher priority. In (1), the algorithm attempts to assign the primary inputs and outputs on each critical path to one chip so that the critical path does not cross between chips. Finally in (2), the algorithm not only decreases the number of crossings between chips but also assigns the logic-blocks on each critical path to one chip by exploiting a network flow technique. The algorithm has been implemented and applied to MCNC PARTITIONING 93 benchmark circuits. The experimental results demonstrate that it resolves almost all path delay constraints while maintaining the maximum number of required I/O blocks per chip small compared with conventional algorithms.

AB - In this paper, we extend the circuit partitioning algorithm which we had proposed for multi-FPGA systems and present a new algorithm in which the delay of each critical signal path is within a specified upper bound imposed on it. The core of the presented algorithm is recursive bipartitioning of a circuit. The bipartitioning procedure consists of three stages: (0) detection of critical paths; (1) bipartitioning of a set of primary inputs and outputs; and (2) bipartitioning of a set of logic-blocks. In (0), the algorithm computes the lower bounds of delays for paths with path delay constraints and detects the critical paths based on the difference between the lower and upper bounds dynamically in every bipartitioning procedure. The delays of the critical paths are reduced with higher priority. In (1), the algorithm attempts to assign the primary inputs and outputs on each critical path to one chip so that the critical path does not cross between chips. Finally in (2), the algorithm not only decreases the number of crossings between chips but also assigns the logic-blocks on each critical path to one chip by exploiting a network flow technique. The algorithm has been implemented and applied to MCNC PARTITIONING 93 benchmark circuits. The experimental results demonstrate that it resolves almost all path delay constraints while maintaining the maximum number of required I/O blocks per chip small compared with conventional algorithms.

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M3 - Article

AN - SCOPUS:3042928484

VL - 7

SP - 373

EP - 393

JO - Journal of Circuits, Systems and Computers

JF - Journal of Circuits, Systems and Computers

SN - 0218-1266

IS - 5

ER -