Which fuel filter did you change? Do you have an inline filter? If you have an inline and that is the one that you changed then there still might be a filter in your carb at the end of the fuel line. It could be clogged.

Put on a clear glass aftermarket inline filter (for test purposes only) and rev up your engine. see if the filter is running out of fuel. If it does then you should probably change your fuel pump as Chevy37 suggested. Change the filter back to one of the Fram white plastic or metal ones. The glass ones have been known to break and catch fire, hence the (for test purposes only) statement .

Also, Has this car been fine and just started this. What did you change BEFORE this started. How much fuel is in your gas tank. Does it still do this if your tank is full. If not, you night want to drop your tank and clean it.

Just some thoughts. Let us know what you find.