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Wireless Communications & Networking by Vijay Garg

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APPENDIX C Error Functions

Errors are used in engineering and science applications when we deal with the Gaussian or normal probability density functions. As we observe in Chapter 7, error probabilities are often expressed in terms of the error function.

The error function of u, represented by erf(u), is given as

image (C.1)

Another related function is the complementary error function, erfc(u), given as

image (C.2)

The erf(u) and erfc(u) are related through

(C.3)

As u tends to infinity, erf(u) approaches unity, i.e.,

(C.4)

The following is the ...

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