What is the name of your state?California
If you are receiving a pension from a prior company. Does California take that out of your EDD payments if the other company you worked for was for a 10 year period.
Are you talking about unemployment benefits or disability payments or what from the EDD? Always report all types of pensions you are receiving for certification purposes for ANY program you might be signing up for so they can make a decision to include or not include it. No one on the internet can give you reliable professional advice about this.