matlab中如何实现Q函数的反函数
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matlab中如何实现Q函数的反函数
matlab中如何实现Q函数的反函数
matlab中如何实现Q函数的反函数
Matlab中本身有Q函数,即qfunc() 其
反函数是qfuncinv()
help qfuncinv
qfuncinv
Inverse Q function
Syntax
y = qfuncinv(x)
Description
y = qfuncinv(x) returns the argument of the Q function at which the Q function's value is x.The input x must be a real array with elements between 0 and 1,inclusive.
For a scalar x,the Q function is one minus the cumulative distribution function of the standardized normal random variable,evaluated at x.The Q function is defined as
The Q function is related to the complementary error function,erfc,according to
Examples
The example below illustrates the inverse relationship between qfunc and qfuncinv.
x1 = [0 1 2; 3 4 5];
y1 = qfuncinv(qfunc(x1)) % Invert qfunc to recover x1.
x2 = 0:.2:1;
y2 = qfunc(qfuncinv(x2)) % Invert qfuncinv to recover x2.
The output is below.
y1 =
0 1 2
3 4 5
y2 =
0 0.2000 0.4000 0.6000 0.8000 1.0000
sqrt(2)*erfcinv（x）