Here are 4 cheap ways to soundproof an unfinished basement ceiling. Soundproofing a basement ceiling is important especially if you have a basement apartment and want to reduce noise coming from downstairs. Using a resilient channel for sound proofing. 5/8″ drywall coupled with green glue noise proofing compound will be great for noise reduction. also using sound deadening insulation will deaden sound coming from the floor above. You can do all this as a DIY soundproofing project that is cheap!