I agree with Erik that a single sub properly positioned, with PEQ and DSP correction can provide good bass response at a single designated listening position but will likely result in poor bass performance at numerous other positions in the room.
There are a few other downsides with this approach. One is that PEQ/DSP is very good at attenuating bass peaks identified at specific bass frequencies at the listening seat, since it simply decreases output power demand on the amp(s)at these peak frequencies. However, PEQ/DSP is limited in its ability to correct all bass dips and nulls identified at various specific bass frequencies at the listening seat, since these require increasing and not decreasing power at these bass dips and nulls. This takes a lot of power especially at deep bass frequencies to correct and the amp(s) need to be powerful enough to supply power for both the normal deep bass notes and the very sudden and high power demands for bass dynamics at varying deep bass frequencies and amplitudes. So, it's really not a limitation of the PEQ/DSP circuitry itself, but a limitation of the amp(s) that must meet this circuitry's power demands.
Further, powerful high quality class AB sub amps, possessing more moderate damping factors, reproduce more accurate and natural deep bass frequency note's decay times than high quality class D amps, possessing extremely high damping factors, are capable of. The use of class D amps to power subs often tends to result in the truncation of deep bass frequency note's decay times which sounds inaccurate and unnatural.
In my experience, I've also found that 2 subs perform and sound about twice as good as a single sub at a designated listening seat. I believe this is due to two factors:
1. 2 subs reproduce deep bass that is more powerful, dynamic and seems more effortless than a single sub because the bass output of both subs is cumulative and each individual sub is operating nowhere near its limits.
AND
2. The use of 2 subs, each optimally positioned sequentially and independently in relation to the designated listening position, begins to provide the benefits of having multiple subs launching bass soundwaves into the room and these benefits increase in degree as more subs continue to be added to the room (with diminishing improvements resulting beyond about 4 subs); these additional benefits are bass that is perceived as being smoother, faster, more accurate, more detailed and better integrated with the main speakers.
Continuing on the bass upgrade path,I've found that the use of 4 subs independently positioned in a distributed bass array sound and perform about twice as good as 2 subs, maximizing both categories of bass quality improvements listed above.
My claim is not that the 4-sub DBA concept is absolutely the best bass system in , it's just definitely the best I've heard and used to date. I believe a linear bass array(LBA?), with multiple subs lined up horizontally along the front wall at precise separation distances between them, could outperform a 4-sub DBA. But the LBA concept has serious downsides like the need for no rear wall for soundwave reflections to reflect off of and its dreaded and awful WAF.
Tim