pulse detection circuit design

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lhlblue

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i want to generate a pulse as the figure shows, when the burst number of A is larger than 3 (N>=3), yhe output B is the same as A, but when N<3, output C is all zero.
i want to realize this as simply as possible.
what circuit should i use here?
 

ok, when A = 0, B = 0 and C = 0; when N>=3, the output is the same as the input, when N<3, the output is zero. that is, if the input pulse is less than 3, i think it is a false trigger, if larger than 3, it is a real trigger.
thanks.
 

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