Cheyne Stokes respiration may occur with obstructive sleep apnea, but is often associated with heart failure. You should have a formal sleep study in a sleep lab. You should also have a complete heart evaluation.
you should see your dr and ask for a sleep study to rule out sleep apnea altho that sounds like what it is....but there are different degrees and some people need to be on a cpap machine to help them breath cos there throat muscles at times relax too much and cause some obstruction........good luck