Simple Approximations of the Error Function Q(x) for Communications Applications 论文
1979IRE Transactions on Communications Systems引用 242
Numerical Methods and AlgorithmsDigital Filter Design and ImplementationMatrix Theory and Algorithms
摘要
Simple analytical upper bounds, approximations and lower bounds on the error function <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Q(x)</tex> are presented and analyzed. A class of functions are given, where the choice of two parameters result in good upper bounds, lower bounds and approximations on <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Q(x)</tex> . The results are given in formulas, parameter tables and graphs. The approximations are suitable for programmable pocket calculators.