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Portland State University

Theses/Dissertations

Programmable logic devices

1992

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A New Approach To The Decomposition Of Incompletely Specified Functions Based On Graph Coloring And Local Transformation And Its Application To Fpga Mapping, Wei Wan May 1992

A New Approach To The Decomposition Of Incompletely Specified Functions Based On Graph Coloring And Local Transformation And Its Application To Fpga Mapping, Wei Wan

Dissertations and Theses

The thesis presents a new approach to the decomposition of incompletely specified functions and its application to FPGA (Field Programmable Gate Array) mapping. Five methods: Variable Partitioning, Graph Coloring, Bond Set Encoding, CLB Reusing and Local Transformation are developed in order to efficiently perform decomposition and FPGA (Lookup-Table based FPGA) mapping. 1) Variable Partitioning is a high quality hemistic method used to find the "best" partitions, avoiding the very time consuming testing of all possible decomposition charts, which is impractical when there are many input variables in the input function. 2) Graph Coloring is another high quality heuristic\ used to …