Hi... The pulse is most often within the normal limits while sleeping and resting.. Anxiety can increases pulse rate when you are active and not while resting. If the resting pulse is high, hyperthyroidism and other medical conditions have to ruled out first.. Out of which hyperthroidism is most likely as they hyperthyroid state can also cause anxiety. So it is better you consult your physician or the specialist to know the cause and for the treatment...