Regarding XO from sub-woofer to woofer, I believe we should be better to
"objectively measure and see" the transient behavior of both SP drivers using tone burst signals around the XO fq, of course measurement of actual air sound at your listening position in your room acoustic environment; no matter how much and how deep theoretical discussion/approach we may have.
Such measurements should be applied for
sub-woofer only,
woofer only, and then
sub-woofer+woofer; the results would give you really nice and deep insights for XO and transient sound characteristics of total air sound in sub-woofer to woofer coverage Fq zone.
This is really important in deciding the
XO Fq,
filter slope(s),
polarities,
time alignment (group delay),
relative gains for your own sub-woofer and woofer in your room acoustics. The tightness (compactness) of transient response can be "objectively visualized" in Fq-time-gain 3D color spectrum using Adobe Audition and other software tools.
My primitive but intensive approach in this perspective would be of your reference and interest, I assume;
- Measurement of transient characteristics of Yamaha 30 cm woofer JA-3058 in sealed cabinet and Yamaha active sub-woofer YST-SW1000: #495,
#497,
#503,
#507