Abstract-This paper proposes an architecture and a synthesis method for high-speed computation of fixed-point numerical functions such as trigonometric, logarithmic, sigmoidal, square root, and combinations of these functions. Our architecture is based on the lookup table (LUT) cascade, which results in a significant reduction in circuit complexity compared to traditional approaches. This is suitable for automatic synthesis and we show a synthesis method that converts a Matlab-like specification into an LUT cascade design. Experimental results show the efficiency of our approach as implemented on a field-programmable gate array (FPGA).

Abstract-This paper proposes a new analysis method of multi-state systems with multi-state components using multivalued decision diagrams (MDDs). The multi-state systems with multi-state components can be considered as multi-valued functions, called structure functions. Since the structure functions are usually monotone increasing functions, they can be represented compactly using edge-valued MDDs (EVMDDs). This paper proposes an efficient analysis method using EVMDDs. It shows that by using EVMDDs, the structure functions can be represented more compactly than existing methods using ordinary MDDs, and systems can be analyzed with comparable computation time.Keywords-multi-state systems with multi-state components; fault tolerant systems; structure functions; system analysis based on decision diagrams; EVMDDs.

This paper presents an architecture and a synthesis method for programmable numerical function generators of trigonometric functions, logarithm functions, square root, reciprocal, etc. Our architecture uses an LUT (Look-Up Table) cascade as the segment index encoder, compactly realizes various numerical functions, and is suitable for automatic synthesis. We have developed a synthesis system that converts MATLAB-like specification into HDL code. We propose and compare three architectures implemented as a FPGA (Field-Programmable Gate Array). Experimental results show the efficiency of our architecture and synthesis system.

Shinobu

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