  A phenomenological analysis is presented of recent two-particle angular
correlation data on relative pseudorapidity ($\eta$) and azimuth reported by
the Compact Muon Solenoid (CMS) Collaboration for $\sqrt{s}$ = 7 TeV
proton-proton collisions. The data are described with an empirical jet-like
model developed for similar angular correlation measurements obtained from
heavy ion collisions at the Relativistic Heavy Ion Collider (RHIC). The
same-side (small relative azimuth), $\eta$-extended correlation structure,
referred to as the {\em ridge}, is compared with three phenomenological
correlation structures suggested by theoretical analysis. These include
additional angular correlations due to soft gluon radiation in $2 \rightarrow
3$ partonic processes, a one-dimensional same-side correlation ridge on azimuth
motivated for example by color-glass condensate models, and an azimuth
quadrupole similar to that required to describe heavy ion angular correlations.
The quadrupole model provides the best overall description of the CMS data,
including the ridge, based on $\chi^2$ minimization in agreement with previous
studies. Implications of these results with respect to possible mechanisms for
producing the CMS same-side correlation ridge are discussed.
