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ECE734 Course Project: A Survey on Retiming — Algorithm and Applications. James D. Z. Ma Department of Electrical and Computer Engineering University of Wisconsin — Madison. Outline. Introduction to retiming Fundamental algorithms of retiming

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ece734 course project a survey on retiming algorithm and applications

ECE734 Course Project: A Survey on Retiming — Algorithm and Applications

James D. Z. Ma

Department of Electrical and Computer Engineering

University of Wisconsin — Madison

outline
Outline
  • Introduction to retiming
  • Fundamental algorithms of retiming
  • Non-trivial extensions of retiming algorithms
  • Application of retiming techniques to VLSI/DSP
  • Project progress
definitions and applications
Definitions and Applications
  • Retiming
    • Change locations of delay elements in a circuit without affecting the functionality of the circuit
    • Clock period minimization
    • Register count minimization
    • Switching activity and power reduction
    • Logic synthesis
first retiming algorithm
First Retiming Algorithm
  • For clock period and register count minimization
  • Charles E. Leiserson and James B. Saxe, “Optimizing synchronous circuitry by retiming”, in The Third Caltech Conference on VLSI, pp. 87-116, 1983
  • Two quantities
    • W(u,v): minimum number of registers on any path from node u to node v
    • D(u,v): maximum computation time among all paths from node u to node v with weight W(u,v)
algorithm outline
Algorithm Outline
  • Compute W and D based on all-pair-shortest-path algorithm
  • Sort the values of D(u,v)
  • Binary search these values to find a retiming solution with the minimum clock period by solving a system of inequalities, based on linear programming framework

More efficient algorithm

to be presented in the report

non trivial extensions of the fundamental retiming algorithm
Non-Trivial Extensions of the Fundamental Retiming Algorithm
  • Consider different constraints on delay elements, initial states, setup and hold
  • Consider manufacturing effect — probabilistic retiming
  • Incorporate interconnect delay and clock skew into retiming
  • Multi-dimensional retiming
  • Scheduling, (un)folding, and retiming
applications of retiming
Applications of Retiming
  • Resynthesis for sequential network optimization using combinational techniques
  • Retiming for power and switching activity reduction
  • Scheduling, (un)folding, and parallelism
  • Embedded system and communications
  • Software pipelining, partial scan, TPG, BIST, equivalence checking, FPGA technology mapping, physical design automation
project progress
Project progress
  • Literature search — done
  • Fundamental algorithms and non-trivial extensions — done
  • Applications — in progress

Thank you!