Paper Abstract and Keywords |
Presentation |
2006-01-17 15:00
Programmable Numerical Function Generators Based on Quadratic Approximation: Architecture and Synthesis Method Shinobu Nagayama (Hiroshima City Univ.), Tsutomu Sasao (K.I..T.), Jon T. Butler (Naval Postgraduate School) |
Abstract |
(in Japanese) |
(See Japanese page) |
(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) |
(in English) |
non-uniform segmentation / LUT cascades / 2nd-order Chebyshev approximation / numerical function generators (NFGs) / automatic synthesis / FPGA / / |
Reference Info. |
IEICE Tech. Rep., vol. 105, no. 517, RECONF2005-81, pp. 25-30, Jan. 2006. |
Paper # |
RECONF2005-81 |
Date of Issue |
2006-01-10 (VLD, CPSY, RECONF) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
|
Conference Information |
Committee |
RECONF CPSY VLD IPSJ-SLDM |
Conference Date |
2006-01-17 - 2006-01-18 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
|
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
FPGA and its Application, etc. |
Paper Information |
Registration To |
RECONF |
Conference Code |
2006-01-RECONF-CPSY-VLD-IPSJ-SLDM |
Language |
Japanese |
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 |
Keyword(7) |
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Keyword(8) |
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1st Author's Name |
Shinobu Nagayama |
1st Author's Affiliation |
Hiroshima City University (Hiroshima City Univ.) |
2nd Author's Name |
Tsutomu Sasao |
2nd Author's Affiliation |
Kyushu Institute of Technology (K.I..T.) |
3rd Author's Name |
Jon T. Butler |
3rd Author's Affiliation |
Naval Postgraduate School (Naval Postgraduate School) |
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Speaker |
Author-1 |
Date Time |
2006-01-17 15:00:00 |
Presentation Time |
25 minutes |
Registration for |
RECONF |
Paper # |
VLD2005-92, CPSY2005-48, RECONF2005-81 |
Volume (vol) |
vol.105 |
Number (no) |
no.513(VLD), no.515(CPSY), no.517(RECONF) |
Page |
pp.25-30 |
#Pages |
6 |
Date of Issue |
2006-01-10 (VLD, CPSY, RECONF) |