How sick you are going to be really depends on how long you've been taking the Suboxone, your own individual sensitivity to withdrawal symptoms, your metabolism, etc. You will likely have to put up with some level of discomfort if you are going to taper that rapidly. There are a bunch of threads on here about tapering off Suboxone, and dealing with symptoms of opioid withdrawals.
At the beginning you can likely drop fairly quickly but the lower your dose gets the harder it is. If you can mentally bear the withdrawal symptoms and have done a lot of work on your mental addiction and the reasons you use in the first place and have learned how to deal with cravings, a rapid taper can be done, but it can be unpleasant for many people so please be careful as for a lot of people getting withdrawal symptoms is enough to drive them back to their drug of choice. There are things you can do and take that will help though. How long have you been taking Subxone and how long have you been at your current dose? Do you normally find you are very sensitive to withdrawals? Are you doing therapy, meetings or anything like that to work on your mental addiction?
Here are some threads to check out:
The Opioid Withdrawal Megathread and FAQ
Your Personal Opiate Withdrawal Arsenal
Best Way to Use Suboxone/Subutex to Detox
Suboxone taper guide?
Also go to advanced search and type in "Suboxone taper" to see a bunch of other threads on the subject.
EDIT: If you are looking for a taper schedule - If you want to go from 16mg to zero in 1 month, you would have to taper quite fast. One option would be dropping by around 40% (of whatever dose you were taking at that time) every 3 days. So the schedule would be:
Day 1-3: 10mg
Day 4-6: 6mg
Day 7-9: 4mg
Day 10-12: 2.5mg
Day 13-15: 1.5mg
Day 16-18: 1mg
Day 19-21: 0.6mg
Day 22-24: 0.4mg
Day 25-27: 0.25mg
Day 28-30: 0.15mg
You could also take supplements and/or medications (listed in the threads above) to help with any withdrawal symptoms while you were tapering.
Or if you were ok with dropping off from 1mg to 0mg you could do this schedule:
Day 1-3: 12mg
Day 4-6: 10mg
Day 7-9: 8mg
Day 10-12: 6mg
Day 13-15: 5mg
Day 16-18: 4mg
Day 19-21: 3mg
Day 22-24: 2.5mg
Day 25-27: 2mg
Day 28-30: 1mg