Do actives really increase bass extension? I'm sure some do. It seems like many just EQ more extension in, which(imo) doesn't actually increase extension, it just limits the max output of the other frequencies. You could do the same with passive speakers, it's just that you have to do it yourself.
Bass extension is simply defined as having frequency response +-X dB extend down to Y hz. It doesn’t really matter how it’s accomplished. Of course the laws of physics always apply, though there are many ways of squeezing more efficiency out of a system.
Then there is the separate question of what SPL is achievable at different frequencies. Perhaps this is what you were thinking of?
Bass extension and SPL capabilities depend on many factors that go into the design. There is no single reliable way of predicting them in either active or passive speakers aside from just actually measuring them.
For example, my Ascend Sierra 2EX bookshelf speakers (passive) actually have way deeper bass extension than my Revel F206 towers! But I’m certain the towers are capable of far more bass SPL before the drivers start bottoming out. DSP didn’t cause this situation.
There’s really no such distinction as “real bass extension“ vs “EQed fake bass extension”. They are the same thing. What you are probably looking for is SPL vs frequency measurements, which I admit are sadly rare to find.
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