In general, if you really want to check on the health of the lungs, like whooping cough, you can consult a lung specialist. However, beforehand, you may consult a physician in advance to ascertain the possibility of your condition. In general, in adults, whooping cough is very similar to other causes of cough such as bronchitis, ARI.
While considering it has reached 1 month, other possible causes such as tuberculosis or allergies, especially if exposed to certain substances.
Consult your doctor first for more information. Physical examination and questioning (anamnesis) can help to find the cause.
Things you can do that is regular breaks, avoid smoking, multiply the consumption of water. Hopefully helpful, and thank you.
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From @sefia