Calculating and plotting an integral

2019 2 14

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更新时间：2021 8 20

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Hi guys,

Can anyone help me in calculating the attached integral.

N=8,
a = 0:10 (dB)
x = sqrt(2*a)

and the goal is plotting PB vs. x.

TIA!!!!

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Rik 2019-2-14

Have a read here (or here for more general advice). It will greatly improve your chances of getting an answer.

David Goodmanson 2019-2-17

编辑：David Goodmanson 2019-2-17

Hi Su,

the inner integral (the one that is taken to the N/2-1 power) is

normcdf(v+X) - normcdf(-(v+X))
which is also
2*normcdf(v+X) - 1

assuming that v+X >= 0. But the lower limit on the outer integral, v >= -X, assures that this is the case.

So you can plug in either of those two expressions and then you are at least down to a single integral, which can be done numerically.

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