US 7,321,630 B2 | ||
Approximation method for series expansion of input function and system using the same | ||
Ki-yun Kim, Gwangmyeong-si (Korea, Republic of); Hyung-jin Choi, Seoul (Korea, Republic of); and Ho Kim, Seoul (Korea, Republic of) | ||
Assigned to Samsung Thales Co., Ltd., Gumi, Kyungsangbuk-do (Korea, Republic of) | ||
Filed on Oct. 24, 2003, as Appl. No. 10/692,344. | ||
Claims priority of application No. 10-2003-0027747 (KR), filed on Apr. 30, 2003. | ||
Prior Publication US 2004/0220983 A1, Nov. 04, 2004 | ||
Int. Cl. H04L 27/28 (2006.01); G06F 1/02 (2006.01) |
U.S. Cl. 375—260 [708/270] | 17 Claims |
1. An approximation system for a series expansion of an input function with a finite number of terms N to minimize an approximation
error, said system including an operational processing unit, said operational processing unit comprising:
means for expanding the input function in Taylor series up to an (N−1)-th term to obtain a first expansion result;
means for expanding the input function in Taylor series up to an N-th term to obtain a second expansion result;
means for multiplying the first expansion result by a predetermined weight α to obtain a multiplication result;
means for combining the multiplication result and the second expansion result to obtain a combined result; and
means for dividing the combined result by (α+1);
whereby to minimize the approximation error.
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