| Presentation | 2006-01-17 Programmable Numerical Function Generators Based on Quadratic Approximation : Architecture and Synthesis Method Shinobu NAGAYAMA, Tsutomu SASAO, Jon T. BUTLER, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper presents an architecture and a synthesis method for programmable numerical function generators (NFGs) for trigonometric, logarithmic, square root, and reciprocal functions. Our NFG partitions a given domain of the function into non-uniform segments using an LUT cascade, and approximates the given function by a quadratic polynomial for each segment. By using non-uniform segmentation, LUT cascade, and quadratic approximation, we can implement more compact NFGs than the existing methods for a wide range of functions. Implementation results on an FPGA show that : 1) our NFGs require only 4% of the memory needed by NFGs based on the linear approximation with non-uniform segmentation; 2) our NFGs require only 22% of the memory needed by NFGs based on the 5th-order approximation with uniform segmentation; and 3) our high-precision NFGs can be implemented with a compact and low-cost FPGA. Our automatic synthesis system generates such compact NFGs quickly. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Non-uniform segmentation / LUT cascades / 2nd-order Chebyshev approximation / numerical function generators (NFGs) / automatic synthesis / FPGA |
| Paper # | VLD2005-92,CPSY2005-48,RECONF2005-81 |
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| Conference Information | |
| Committee | RECONF |
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| Conference Date | 2006/1/10(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Reconfigurable Systems (RECONF) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Programmable Numerical Function Generators Based on Quadratic Approximation : Architecture and Synthesis Method |
| Sub Title (in English) | |
| Keyword(1) | Non-uniform segmentation |
| Keyword(2) | LUT cascades |
| Keyword(3) | 2nd-order Chebyshev approximation |
| Keyword(4) | numerical function generators (NFGs) |
| Keyword(5) | automatic synthesis |
| Keyword(6) | FPGA |
| 1st Author's Name | Shinobu NAGAYAMA |
| 1st Author's Affiliation | Department of Computer Engineering, Hiroshima City University() |
| 2nd Author's Name | Tsutomu SASAO |
| 2nd Author's Affiliation | Department of Computer Science and Electronics, Kyushu Institute of Technology |
| 3rd Author's Name | Jon T. BUTLER |
| 3rd Author's Affiliation | Department of Electrical and Computer Engineering, Naval Postgraduate School Monterey |
| Date | 2006-01-17 |
| Paper # | VLD2005-92,CPSY2005-48,RECONF2005-81 |
| Volume (vol) | vol.105 |
| Number (no) | 517 |
| Page | pp.pp.- |
| #Pages | 6 |
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