I derive and analyze an explicit formula for a generalized semblance
attribute, which is suitable for velocity analysis of prestack
seismic gathers with distinct amplitude trends. While the
conventional semblance can be interpreted as squared correlation
with a constant, the
semblance is defined as a correlation with a
trend. This measure is particularly attractive for analyzing class
II AVO anomalies and converted waves. Analytical derivations and
numerical experiments show that the resolution of the
semblance
is approximately twice lower than that of the conventional
semblance. However, this does not prevent it from being an effective
attribute. I use synthetic and field data examples to demonstrate
the improvements in velocity analysis from
semblance.